-
Previous Article
Modified Chebyshev rational spectral method for the whole line
- PROC Home
- This Issue
-
Next Article
On the damped semilinear wave equation with critical exponent
A nonlinear controlled system of differential equations describing the process of production and sales of a consumer good
1. | Department of Mathematics and Computer Sciences, Texas Woman's University, Denton, TX 76204 |
2. | Department of Computer Mathematics and Cybernetics, Moscow State Lomonosov University, Moscow, 119992 |
[1] |
Ellina Grigorieva, Evgenii Khailov, Andrei Korobeinikov. Parametrization of the attainable set for a nonlinear control model of a biochemical process. Mathematical Biosciences & Engineering, 2013, 10 (4) : 1067-1094. doi: 10.3934/mbe.2013.10.1067 |
[2] |
Jonas Lampart. A remark on the attainable set of the Schrödinger equation. Evolution Equations and Control Theory, 2021, 10 (3) : 461-469. doi: 10.3934/eect.2020075 |
[3] |
Mariko Arisawa, Hitoshi Ishii. Some properties of ergodic attractors for controlled dynamical systems. Discrete and Continuous Dynamical Systems, 1998, 4 (1) : 43-54. doi: 10.3934/dcds.1998.4.43 |
[4] |
Sebastián Ferrer, Francisco Crespo. Parametric quartic Hamiltonian model. A unified treatment of classic integrable systems. Journal of Geometric Mechanics, 2014, 6 (4) : 479-502. doi: 10.3934/jgm.2014.6.479 |
[5] |
Ghendrih Philippe, Hauray Maxime, Anne Nouri. Derivation of a gyrokinetic model. Existence and uniqueness of specific stationary solution. Kinetic and Related Models, 2009, 2 (4) : 707-725. doi: 10.3934/krm.2009.2.707 |
[6] |
Shohel Ahmed, Abdul Alim, Sumaiya Rahman. A controlled treatment strategy applied to HIV immunology model. Numerical Algebra, Control and Optimization, 2018, 8 (3) : 299-314. doi: 10.3934/naco.2018019 |
[7] |
Faker Ben Belgacem. Uniqueness for an ill-posed reaction-dispersion model. Application to organic pollution in stream-waters. Inverse Problems and Imaging, 2012, 6 (2) : 163-181. doi: 10.3934/ipi.2012.6.163 |
[8] |
R. P. Gupta, Peeyush Chandra, Malay Banerjee. Dynamical complexity of a prey-predator model with nonlinear predator harvesting. Discrete and Continuous Dynamical Systems - B, 2015, 20 (2) : 423-443. doi: 10.3934/dcdsb.2015.20.423 |
[9] |
Mikhail I. Belishev, Sergey A. Simonov. A canonical model of the one-dimensional dynamical Dirac system with boundary control. Evolution Equations and Control Theory, 2022, 11 (1) : 283-300. doi: 10.3934/eect.2021003 |
[10] |
Tan H. Cao, Boris S. Mordukhovich. Optimality conditions for a controlled sweeping process with applications to the crowd motion model. Discrete and Continuous Dynamical Systems - B, 2017, 22 (2) : 267-306. doi: 10.3934/dcdsb.2017014 |
[11] |
Steinar Evje, Aksel Hiorth. A mathematical model for dynamic wettability alteration controlled by water-rock chemistry. Networks and Heterogeneous Media, 2010, 5 (2) : 217-256. doi: 10.3934/nhm.2010.5.217 |
[12] |
Peter Benner, Tobias Breiten, Carsten Hartmann, Burkhard Schmidt. Model reduction of controlled Fokker–Planck and Liouville–von Neumann equations. Journal of Computational Dynamics, 2020, 7 (1) : 1-33. doi: 10.3934/jcd.2020001 |
[13] |
Shivam Dhama, Chetan D. Pahlajani. Approximation of linear controlled dynamical systems with small random noise and fast periodic sampling. Mathematical Control and Related Fields, 2022 doi: 10.3934/mcrf.2022018 |
[14] |
Chongyang Liu, Zhaohua Gong, Enmin Feng, Hongchao Yin. Modelling and optimal control for nonlinear multistage dynamical system of microbial fed-batch culture. Journal of Industrial and Management Optimization, 2009, 5 (4) : 835-850. doi: 10.3934/jimo.2009.5.835 |
[15] |
Yuting Ding, Jinli Xu, Jun Cao, Dongyan Zhang. Mathematical modeling about nonlinear delayed hydraulic cylinder system and its analysis on dynamical behaviors. Discrete and Continuous Dynamical Systems - S, 2017, 10 (5) : 943-958. doi: 10.3934/dcdss.2017049 |
[16] |
Lei Wang, Jinlong Yuan, Yingfang Li, Enmin Feng, Zhilong Xiu. Parameter identification of nonlinear delayed dynamical system in microbial fermentation based on biological robustness. Numerical Algebra, Control and Optimization, 2014, 4 (2) : 103-113. doi: 10.3934/naco.2014.4.103 |
[17] |
Jibin Li, Yi Zhang. On the traveling wave solutions for a nonlinear diffusion-convection equation: Dynamical system approach. Discrete and Continuous Dynamical Systems - B, 2010, 14 (3) : 1119-1138. doi: 10.3934/dcdsb.2010.14.1119 |
[18] |
Qi Yang, Lei Wang, Enmin Feng, Hongchao Yin, Zhilong Xiu. Identification and robustness analysis of nonlinear hybrid dynamical system of genetic regulation in continuous culture. Journal of Industrial and Management Optimization, 2020, 16 (2) : 579-599. doi: 10.3934/jimo.2018168 |
[19] |
Leong-Kwan Li, Sally Shao, K. F. Cedric Yiu. Nonlinear dynamical system modeling via recurrent neural networks and a weighted state space search algorithm. Journal of Industrial and Management Optimization, 2011, 7 (2) : 385-400. doi: 10.3934/jimo.2011.7.385 |
[20] |
Xiaoqiang Dai, Wenke Li. Non-global solution for visco-elastic dynamical system with nonlinear source term in control problem. Electronic Research Archive, 2021, 29 (6) : 4087-4098. doi: 10.3934/era.2021073 |
Impact Factor:
Tools
Metrics
Other articles
by authors
[Back to Top]