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Controllability of fractional dynamical systems: A functional analytic approach

Mathematical Control and Related Fields  Volume 7, Issue 4, Pages : 537 - 562, 2017

Venkatesan Govindaraj - (email), Raju K. George - (email)

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The optimal stabilization of orbital motion in a neighborhood of collinear libration point

Numerical Algebra, Control and Optimization  Volume 7, Issue 2, Pages : 185 - 189, 2017

Alexander Shmyrov - (email), Vasily Shmyrov - (email)

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3

LP approach to exponential stabilization of singular linear positive time-delay systems via memory state feedback

Journal of Industrial and Management Optimization  Volume 13, Issue 2, Pages : 61 - 61, 2017

Nguyen H. Sau - (email), Vu N. Phat - (email)

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The interplay between models and public health policies: Regional control for a class of spatially structured epidemics (think globally, act locally)

Mathematical Biosciences and Engineering  Volume 15, Issue 1, Pages : 1 - 20, 2017

Vincenzo Capasso - (email), Sebastian Aniţa - (email)

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5

The cost of controlling weakly degenerate parabolic equations by boundary controls

Mathematical Control and Related Fields  Volume 7, Issue 2, Pages : 171 - 211, 2017

Piermarco Cannarsa - (email), Patrick Martinez - (email), Judith Vancostenoble - (email)

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6

Regularity results for a time-optimal control problem in the space of probability measures

Mathematical Control and Related Fields  Volume 7, Issue 2, Pages : 213 - 233, 2017

Giulia Cavagnari - (email)

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7

On practical stability of differential inclusions using Lyapunov functions

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 1977 - 1986, 2017

Volodymyr Pichkur - (email)

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8

Stabilizing blow up solutions to nonlinear Schrödinger equations

Communications on Pure and Applied Analysis  Volume 16, Issue 3, Pages : 1059 - 1082, 2017

Laurent Di Menza - (email), Olivier Goubet - (email)

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Long-term stability for KdV solitons in weighted $H^s$ spaces

Communications on Pure and Applied Analysis  Volume 16, Issue 2, Pages : 393 - 416, 2017

Brian Pigott - (email), Sarah Raynor - (email)

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Morphogenesis modelization of a fractone-based model

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 1, Pages : 29 - 58, 2016

Monique Chyba - (email), Aaron Tamura-Sato - (email)

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11

Control and stabilization of $2\times 2$ hyperbolic systems on graphs

Mathematical Control and Related Fields  Volume 7, Issue 1, Pages : 53 - 72, 2016

Serge Nicaise - (email)

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12

Stability of equilibria of randomly perturbed maps

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 369 - 381, 2016

Paweł Hitczenko - (email), Georgi S. Medvedev - (email)

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13

Qualitative description of the particle trajectories for the $N$-solitons solution of the Korteweg-de Vries equation

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1489 - 1507, 2016

Ludovick Gagnon - (email)

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14

Controllability of a basic cochlea model

Evolution Equations and Control Theory  Volume 5, Issue 4, Pages : 475 - 487, 2016

Scott W. Hansen - (email)

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Stabilization of some elastodynamic systems with localized Kelvin-Voigt damping

Discrete and Continuous Dynamical Systems  Volume 36, Issue 12, Pages : 7117 - 7136, 2016

Louis Tebou - (email)

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16

Partial exact controllability for inhomogeneous multidimensional thermoelastic diffusion problem

Evolution Equations and Control Theory  Volume 5, Issue 2, Pages : 201 - 224, 2016

Moncef Aouadi - (email), Kaouther Boulehmi - (email)

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17

Stability of the wave equation with localized Kelvin-Voigt damping and boundary delay feedback

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 3, Pages : 791 - 813, 2016

Serge Nicaise - (email), Cristina Pignotti - (email)

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18

Partial null controllability of parabolic linear systems

Mathematical Control and Related Fields  Volume 6, Issue 2, Pages : 185 - 216, 2016

Farid Ammar Khodja - (email), Franz Chouly - (email), Michel Duprez - (email)

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19

On two-sided estimates for the nonlinear Fourier transform of KdV

Discrete and Continuous Dynamical Systems  Volume 36, Issue 6, Pages : 3339 - 3356, 2015

Jan-Cornelius Molnar - (email)

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20

Stabilization of a hyperbolic/elliptic system modelling the viscoelastic-gravitational deformation in a multilayered Earth

DCDS Supplements  Volume 2015, Issue special, Pages : 66 - 74, 2015

Alicia Arjona - (email), Jesús Ildefonso Díaz - (email)

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21

Controllability for fractional evolution inclusions without compactness

Evolution Equations and Control Theory  Volume 4, Issue 4, Pages : 507 - 524, 2015

Yong Zhou - (email), V. Vijayakumar - (email), R. Murugesu - (email)

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22

A posteriori error analysis of a stabilized mixed FEM for convection-diffusion problems

DCDS Supplements  Volume 2015, Issue special, Pages : 525 - 532, 2015

M. González - (email), J. Jansson - (email), S. Korotov - (email)

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23

Exact controllability for the Lamé system

Mathematical Control and Related Fields  Volume 5, Issue 4, Pages : 743 - 760, 2015

Belhassen Dehman - (email), Jean-Pierre Raymond - (email)

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Stochastic Korteweg-de Vries equation driven by fractional Brownian motion

Discrete and Continuous Dynamical Systems  Volume 35, Issue 11, Pages : 5255 - 5272, 2015

Guolian Wang - (email), Boling Guo - (email)

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On observers and compensators for infinite dimensional semilinear systems

Evolution Equations and Control Theory  Volume 4, Issue 2, Pages : 131 - 142, 2015

Mohammed Elarbi Achhab - (email)

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Feedback controls to ensure global solutions and asymptotic stability of Markovian switching diffusion systems

Mathematical Control and Related Fields  Volume 5, Issue 2, Pages : 359 - 376, 2015

Guangliang Zhao - (email), Fuke Wu - (email), George Yin - (email)

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Global stabilization for ball-and-beam systems via state and partial state feedback

Journal of Industrial and Management Optimization  Volume 12, Issue 1, Pages : 17 - 29, 2015

Huawen Ye - (email), Honglei Xu - (email)

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28

State constrained patchy feedback stabilization

Mathematical Control and Related Fields  Volume 5, Issue 1, Pages : 141 - 163, 2015

Fabio S. Priuli - (email)

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29

Exact controllability of scalar conservation laws with strict convex flux

Mathematical Control and Related Fields  Volume 4, Issue 4, Pages : 401 - 449, 2014

Adimurthi - (email), Shyam Sundar Ghoshal - (email), G. D. Veerappa Gowda - (email)

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30

Observability and controllability analysis of blood flow network

Mathematical Control and Related Fields  Volume 4, Issue 4, Pages : 521 - 554, 2014

Chun Zong - (email), Gen Qi Xu - (email)

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31

Control via decoupling of a class of second order linear hybrid systems

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 6, Pages : 1321 - 1334, 2014

David L. Russell - (email)

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Stability and stabilization of infinite-dimensional linear port-Hamiltonian systems

Evolution Equations and Control Theory  Volume 3, Issue 2, Pages : 207 - 229, 2014

Björn Augner - (email), Birgit Jacob - (email)

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The existence of strong solutions to the $3D$ Zakharov-Kuznestov equation in a bounded domain

Discrete and Continuous Dynamical Systems  Volume 34, Issue 11, Pages : 4897 - 4910, 2014

Chuntian Wang - (email)

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34

Martingale and pathwise solutions to the stochastic Zakharov-Kuznetsov equation with multiplicative noise

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 4, Pages : 1047 - 1085, 2014

Nathan Glatt-Holtz - (email), Roger Temam - (email), Chuntian Wang - (email)

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35

Internal control of the Schrödinger equation

Mathematical Control and Related Fields  Volume 4, Issue 2, Pages : 161 - 186, 2014

Camille Laurent - (email)

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36

Algebraic characterization of autonomy and controllability of behaviours of spatially invariant systems

Mathematical Control and Related Fields  Volume 4, Issue 1, Pages : 115 - 124, 2013

Amol Sasane - (email)

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37

The characterization of maximal invariant sets of non-linear discrete-time control dynamical systems

DCDS Supplements  Volume 2013, Issue special, Pages : 393 - 406, 2013

Byungik Kahng - (email), Miguel Mendes - (email)

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38

Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 10, Pages : 2705 - 2722, 2013

Youshan Tao - (email)

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39

Phantom tracking method, homogeneity and rapid stabilization

Mathematical Control and Related Fields  Volume 3, Issue 3, Pages : 303 - 322, 2013

Jean-Michel Coron - (email)

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40

Controllability with quadratic drift

Mathematical Control and Related Fields  Volume 3, Issue 4, Pages : 433 - 446, 2013

Roger Brockett - (email)

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41

Numerical discretization of stabilization problems with boundary controls for systems of hyperbolic conservation laws

Mathematical Control and Related Fields  Volume 3, Issue 2, Pages : 121 - 142, 2013

Mapundi K. Banda - (email), Michael Herty - (email)

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42

Time optimal control for a nonholonomic system with state constraint

Mathematical Control and Related Fields  Volume 3, Issue 2, Pages : 185 - 208, 2013

Jérome Lohéac - (email), Jean-François Scheid - (email)

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43

Controllability of a 1-D tank containing a fluid modeled by a Boussinesq system

Evolution Equations and Control Theory  Volume 2, Issue 2, Pages : 379 - 402, 2013

Dugan Nina - (email), Ademir Fernando Pazoto - (email), Lionel Rosier - (email)

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44

A variational approach to approximate controls for system with essential spectrum: Application to membranal arch

Evolution Equations and Control Theory  Volume 2, Issue 1, Pages : 119 - 151, 2013

Arnaud Münch - (email)

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45

Carleman estimates for elliptic boundary value problems with applications to the stablization of hyperbolic systems

Evolution Equations and Control Theory  Volume 1, Issue 2, Pages : 271 - 296, 2012

Matthias Eller - (email), Daniel Toundykov - (email)

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46

Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain

Mathematical Control and Related Fields  Volume 2, Issue 4, Pages : 429 - 455, 2012

Jonathan Touboul - (email)

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47

Motivation, analysis and control of the variable density Navier-Stokes equations

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 6, Pages : 1021 - 1090, 2012

Enrique Fernández-Cara - (email)

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48

Stabilization of a reaction-diffusion system modelling malaria transmission

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 6, Pages : 1673 - 1684, 2012

Sebastian Aniţa - (email), Vincenzo Capasso - (email)

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49

On the control of some coupled systems of the Boussinesq kind with few controls

Mathematical Control and Related Fields  Volume 2, Issue 2, Pages : 121 - 140, 2012

Enrique Fernández-Cara - (email), Diego A. Souza - (email)

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50

The simplest semilinear parabolic equation of normal type

Mathematical Control and Related Fields  Volume 2, Issue 2, Pages : 141 - 170, 2012

Andrei Fursikov - (email)

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51

Certain questions of feedback stabilization for Navier-Stokes equations

Evolution Equations and Control Theory  Volume 1, Issue 1, Pages : 109 - 140, 2012

Andrei Fursikov - (email), Alexey V. Gorshkov - (email)

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52

Well-posedness and stabilization of an Euler-Bernoulli equation with a localized nonlinear dissipation involving the $p$-Laplacian

Discrete and Continuous Dynamical Systems  Volume 32, Issue 6, Pages : 2315 - 2337, 2012

Louis Tebou - (email)

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53

Invariant feedback design for control systems with lie symmetries - A kinematic car example

DCDS Supplements  Volume 2011, Issue Special, Pages : 312 - 321, 2011

Carsten Collon - (email), Joachim Rudolph - (email), Frank Woittennek - (email)

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54

On general Sturmian theory for abnormal linear Hamiltonian systems

DCDS Supplements  Volume 2011, Issue Special, Pages : 684 - 691, 2011

Roman Šimon Hilscher - (email)

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55

Recent results on the controllability of linear coupled parabolic problems: A survey

Mathematical Control and Related Fields  Volume 1, Issue 3, Pages : 267 - 306, 2011

Farid Ammar-Khodja - (email), Assia Benabdallah - (email), Manuel González-Burgos - (email), Luz de Teresa - (email)

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56

Internal stabilization of a Mindlin-Timoshenko model by interior feedbacks

Mathematical Control and Related Fields  Volume 1, Issue 3, Pages : 331 - 352, 2011

Serge Nicaise - (email)

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57

Global stabilization of a coupled system of two generalized Korteweg-de Vries type equations posed on a finite domain

Mathematical Control and Related Fields  Volume 1, Issue 3, Pages : 353 - 389, 2011

Dugan Nina - (email), Ademir Fernando Pazoto - (email), Lionel Rosier - (email)

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58

Lyapunov constraints and global asymptotic stabilization

Journal of Geometric Mechanics  Volume 3, Issue 2, Pages : 145 - 196, 2011

Sergio Grillo - (email), Jerrold E. Marsden - (email), Sujit Nair - (email)

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59

Global well-posedness and asymptotic behavior of a class of initial-boundary-value problem of the Korteweg-De Vries equation on a finite domain

Mathematical Control and Related Fields  Volume 1, Issue 1, Pages : 61 - 81, 2011

Ivonne Rivas - (email), Muhammad Usman - (email), Bing-Yu Zhang - (email)

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60

Geometric Jacobian linearization and LQR theory

Journal of Geometric Mechanics  Volume 2, Issue 4, Pages : 397 - 440, 2011

Andrew D. Lewis - (email), David R. Tyner - (email)

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61

Exponential stability of the wave equation with boundary time-varying delay

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 3, Pages : 693 - 722, 2010

Serge Nicaise - (email), Cristina Pignotti - (email), Julie Valein - (email)

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62

Riesz systems, spectral controllability and a source identification problem for heat equations with memory

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 3, Pages : 745 - 759, 2010

Luciano Pandolfi - (email)

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63

A systematic method for building smooth controls for smooth data

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 4, Pages : 1375 - 1401, 2010

Sylvain Ervedoza - (email), Enrique Zuazua - (email)

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64

Riesz systems and moment method in the study of viscoelasticity in one space dimension

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 4, Pages : 1487 - 1510, 2010

Luciano Pandolfi - (email)

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65

Uniform stabilization in weighted Sobolev spaces for the KdV equation posed on the half-line

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 4, Pages : 1511 - 1535, 2010

Ademir Fernando Pazoto - (email), Lionel Rosier - (email)

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66

Boundary feedback stabilization of the two dimensional Navier-Stokes equations with finite dimensional controllers

Discrete and Continuous Dynamical Systems  Volume 27, Issue 3, Pages : 1159 - 1187, 2010

Jean-Pierre Raymond - (email), Laetitia Thevenet - (email)

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67

Exit problems related to the persistence of solitons for the Korteweg-de Vries equation with small noise

Discrete and Continuous Dynamical Systems  Volume 26, Issue 3, Pages : 857 - 871, 2009

Anne de Bouard - (email), Eric Gautier - (email)

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68

Spectrum analysis of a serially connected Euler-Bernoulli beams problem

Networks and Heterogeneous Media  Volume 4, Issue 4, Pages : 709 - 730, 2009

Denis Mercier - (email)

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69

Equivalence between observability and stabilization for a class of second order semilinear evolution

DCDS Supplements  Volume 2009, Issue Special, Pages : 744 - 752, 2009

Louis Tcheugoue Tebou - (email)

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70

A Hamiltonian perspective to the stabilization of systems of two conservation laws

Networks and Heterogeneous Media  Volume 4, Issue 2, Pages : 249 - 266, 2009

Valérie Dos Santos - (email), Bernhard Maschke - (email), Yann Le Gorrec - (email)

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71

Improved condition for stabilization of controlled inverted pendulum under stochastic perturbations

Discrete and Continuous Dynamical Systems  Volume 24, Issue 4, Pages : 1335 - 1343, 2009

Leonid Shaikhet - (email)

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72

Global existence and internal stabilization for a reaction-diffusion system posed on non coincident spatial domains

Discrete and Continuous Dynamical Systems - Series B  Volume 11, Issue 4, Pages : 805 - 822, 2009

Sebastian Aniţa - (email), William Edward Fitzgibbon - (email), Michel Langlais - (email)

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73

Rapid exponential stabilization for a linear Korteweg-de Vries equation

Discrete and Continuous Dynamical Systems - Series B  Volume 11, Issue 3, Pages : 655 - 668, 2009

Eduardo Cerpa - (email), Emmanuelle Crépeau - (email)

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74

Smooth control of nanowires by means of a magnetic field

Communications on Pure and Applied Analysis  Volume 8, Issue 3, Pages : 871 - 879, 2009

Gilles Carbou - (email), Stéphane Labbé - (email), Emmanuel Trélat - (email)

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75

A stabilizing effect of a high-frequency driving force on the motion of a viscous, compressible, and heat conducting fluid

Discrete and Continuous Dynamical Systems - Series S  Volume 2, Issue 1, Pages : 95 - 111, 2009

Eduard Feireisl - (email), Dalibor Pražák - (email)

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76

A unified model for state feedback of discrete event systems II: Control synthesis problems

Journal of Industrial and Management Optimization  Volume 4, Issue 4, Pages : 713 - 726, 2008

Qiying Hu - (email), Chen Xu - (email), Wuyi Yue - (email)

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77

Local exact controllability to the trajectories of the Boussinesq system via a fictitious control on the divergence equation

Communications on Pure and Applied Analysis  Volume 8, Issue 1, Pages : 311 - 333, 2008

Manuel González-Burgos - (email), Sergio Guerrero - (email), Jean Pierre Puel - (email)

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78

On global controllability of 2-D Burgers equation

Discrete and Continuous Dynamical Systems  Volume 23, Issue 1/2, Pages : 299 - 313, 2008

Oleg Yu. Imanuvilov - (email), Jean Pierre Puel - (email)

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79

Control for fast and stable Laminar-to-High-Reynolds-Numbers transfer in a 2D Navier-Stokes channel flow

Discrete and Continuous Dynamical Systems - Series B  Volume 10, Issue 4, Pages : 925 - 956, 2008

Rafael Vázquez - (email), Emmanuel Trélat - (email), Jean-Michel Coron - (email)

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80

Inverse problems for quantum trees

Inverse Problems and Imaging  Volume 2, Issue 1, Pages : 1 - 21, 2008

Sergei Avdonin - (email), Pavel Kurasov - (email)

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81

Stabilization of the wave equation on 1-d networks with a delay term in the nodal feedbacks

Networks and Heterogeneous Media  Volume 2, Issue 3, Pages : 425 - 479, 2007

Serge Nicaise - (email), Julie Valein - (email)

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82

Existence and asymptotic behaviour for stochastic heat equations with multiplicative noise in materials with memory

Discrete and Continuous Dynamical Systems  Volume 18, Issue 2/3, Pages : 253 - 270, 2007

Tomás Caraballo - (email), I. D. Chueshov - (email), Pedro Marín-Rubio - (email), José Real - (email)

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83

Nontrivial ordered ω-limit sets in a linear degenerate parabolic equation

Discrete and Continuous Dynamical Systems  Volume 17, Issue 4, Pages : 739 - 750, 2007

Michael Winkler - (email)

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84

Stabilization of stationary solutions of evolution equations by noise

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 6, Pages : 1199 - 1212, 2006

Tomás Caraballo - (email), P.E. Kloeden - (email), B. Schmalfuss - (email)

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85

A geometric inverse problem for the Boussinesq system

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 6, Pages : 1213 - 1238, 2006

A. Doubov - (email), Enrique Fernández-Cara - (email), Manuel González-Burgos - (email), J. H. Ortega - (email)

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86

Null-exact controllability of a semilinear cascade system of parabolic-hyperbolic equations

Communications on Pure and Applied Analysis  Volume 5, Issue 3, Pages : 639 - 658, 2006

Enrique Fernández-Cara - (email), Manuel González-Burgos - (email), Luz de Teresa - (email)

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87

On stochastic stabilization of difference equations

Discrete and Continuous Dynamical Systems  Volume 15, Issue 3, Pages : 843 - 857, 2006

John A. D. Appleby - (email), Xuerong Mao - (email), Alexandra Rodkina - (email)

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88

On conditions that prevent steady-state controllability of certain linear partial differential equations

Discrete and Continuous Dynamical Systems  Volume 14, Issue 4, Pages : 643 - 672, 2006

Yacine Chitour - (email), Jean-Michel Coron - (email), Mauro Garavello - (email)

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Controllability of couette flows

Communications on Pure and Applied Analysis  Volume 5, Issue 1, Pages : 201 - 211, 2005

Michael Schmidt - (email), Emmanuel Trélat - (email)

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90

On a discrete version of the Korteweg-De Vries equation

DCDS Supplements  Volume 2005, Issue Special, Pages : 22 - 29, 2005

M. Agrotis - (email), S. Lafortune - (email), P.G. Kevrekidis - (email)

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91

Internal eradicability for an epidemiological model with diffusion

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 437 - 443, 2005

Sebastian Aniţa - (email), Bedreddine Ainseba - (email)

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Controllability properties of a vibrating string with variable axial load

Discrete and Continuous Dynamical Systems  Volume 11, Issue 2/3, Pages : 311 - 324, 2004

Alexander Khapalov - (email)

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On the Cauchy problem for a coupled system of KdV equations

Communications on Pure and Applied Analysis  Volume 3, Issue 3, Pages : 417 - 431, 2004

Felipe Linares - (email), M. Panthee - (email)

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Stabilization for the 3D Navier-Stokes system by feedback boundary control

Discrete and Continuous Dynamical Systems  Volume 10, Issue 1/2, Pages : 289 - 314, 2003

A. V. Fursikov - (email)

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Low regularity stability of solitons for the KDV equation

Communications on Pure and Applied Analysis  Volume 2, Issue 3, Pages : 277 - 296, 2003

S. Raynor - (email), G. Staffilani - (email)

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One-sided and internal controllability of semilinear wave equations with infinitely iterated logarithms

Discrete and Continuous Dynamical Systems  Volume 8, Issue 3, Pages : 745 - 756, 2002

Piermarco Cannarsa - (email), Vilmos Komornik - (email), Paola Loreti - (email)

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Controllability of partial differential equations and its semi-discrete approximations

Discrete and Continuous Dynamical Systems  Volume 8, Issue 2, Pages : 469 - 513, 2002

Enrique Zuazua - (email)

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98

A note on stabilization with saturating feedback

Discrete and Continuous Dynamical Systems  Volume 7, Issue 2, Pages : 319 - 328, 2001

Thomas I. Seidman - (email), Houshi Li - (email)

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99

Controllability of systems of interconnected membranes

Discrete and Continuous Dynamical Systems  Volume 1, Issue 1, Pages : 17 - 33, 1994

John E. Lagnese - (email)

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