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Suboptimal feedback control for a class of nonlinear systems using spline interpolation
1.  Department of Mathematics, University of Western Australia, Nedlands, WA, 6009, Australia, Australia, Australia 
[1] 
Xiaochen Sun, Fei Hu, Yancong Zhou, ChengChew Lim. Optimal acquisition, inventory and production decisions for a closedloop manufacturing system with legislation constraint. Journal of Industrial & Management Optimization, 2015, 11 (4) : 13551373. doi: 10.3934/jimo.2015.11.1355 
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AnneSophie de Suzzoni. Consequences of the choice of a particular basis of $L^2(S^3)$ for the cubic wave equation on the sphere and the Euclidean space. Communications on Pure & Applied Analysis, 2014, 13 (3) : 9911015. doi: 10.3934/cpaa.2014.13.991 
[3] 
Hanxiao Wang, Jingrui Sun, Jiongmin Yong. Weak closedloop solvability of stochastic linearquadratic optimal control problems. Discrete & Continuous Dynamical Systems, 2019, 39 (5) : 27852805. doi: 10.3934/dcds.2019117 
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Xiaohong Chen, Kui Li, Fuqiang Wang, Xihua Li. Optimal production, pricing and government subsidy policies for a closed loop supply chain with uncertain returns. Journal of Industrial & Management Optimization, 2020, 16 (3) : 13891414. doi: 10.3934/jimo.2019008 
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Jingrui Sun, Hanxiao Wang. Meanfield stochastic linearquadratic optimal control problems: Weak closedloop solvability. Mathematical Control & Related Fields, 2021, 11 (1) : 4771. doi: 10.3934/mcrf.2020026 
[6] 
Xun Li, Jingrui Sun, Jiongmin Yong. Meanfield stochastic linear quadratic optimal control problems: closedloop solvability. Probability, Uncertainty and Quantitative Risk, 2016, 1 (0) : 2. doi: 10.1186/s4154601600023 
[7] 
Huaqing Cao, Xiaofen Ji. Optimal recycling price strategy of clothing enterprises based on closedloop supply chain. Journal of Industrial & Management Optimization, 2022 doi: 10.3934/jimo.2021232 
[8] 
Shuaishuai Fu, Weida Chen, Junfei Ding, Dandan Wang. Optimal financing strategy in a closedloop supply chain for construction machinery remanufacturing with emissions abatement. Journal of Industrial & Management Optimization, 2022 doi: 10.3934/jimo.2022002 
[9] 
Rolando Mosquera, Aziz Hamdouni, Abdallah El Hamidi, Cyrille Allery. POD basis interpolation via Inverse Distance Weighting on Grassmann manifolds. Discrete & Continuous Dynamical Systems  S, 2019, 12 (6) : 17431759. doi: 10.3934/dcdss.2019115 
[10] 
Jeremy Levesley, Xinping Sun, Fahd Jarad, Alexander Kushpel. Interpolation of exponentialtype functions on a uniform grid by shifts of a basis function. Discrete & Continuous Dynamical Systems  S, 2021, 14 (7) : 23992416. doi: 10.3934/dcdss.2020403 
[11] 
Elena Fimmel, Yury S. Semenov, Alexander S. Bratus. On optimal and suboptimal treatment strategies for a mathematical model of leukemia. Mathematical Biosciences & Engineering, 2013, 10 (1) : 151165. doi: 10.3934/mbe.2013.10.151 
[12] 
Monica Lazzo, Paul G. Schmidt. Convergence versus periodicity in a singleloop positivefeedback system 2. Periodic solutions. Conference Publications, 2011, 2011 (Special) : 941952. doi: 10.3934/proc.2011.2011.941 
[13] 
Monica Lazzo, Paul G. Schmidt. Convergence versus periodicity in a singleloop positivefeedback system 1. Convergence to equilibrium. Conference Publications, 2011, 2011 (Special) : 931940. doi: 10.3934/proc.2011.2011.931 
[14] 
Simon Hochgerner. Symmetry actuated closedloop Hamiltonian systems. Journal of Geometric Mechanics, 2020, 12 (4) : 641669. doi: 10.3934/jgm.2020030 
[15] 
Ruofeng Rao, Shouming Zhong. Inputtostate stability and noinputs stabilization of delayed feedback chaotic financial system involved in open and closed economy. Discrete & Continuous Dynamical Systems  S, 2021, 14 (4) : 13751393. doi: 10.3934/dcdss.2020280 
[16] 
Radosław Kurek, Paweł Lubowiecki, Henryk Żołądek. The HessAppelrot system. Ⅲ. Splitting of separatrices and chaos. Discrete & Continuous Dynamical Systems, 2018, 38 (4) : 19551981. doi: 10.3934/dcds.2018079 
[17] 
Justine Yasappan, Ángela JiménezCasas, Mario Castro. Stabilizing interplay between thermodiffusion and viscoelasticity in a closedloop thermosyphon. Discrete & Continuous Dynamical Systems  B, 2015, 20 (9) : 32673299. doi: 10.3934/dcdsb.2015.20.3267 
[18] 
Bin Li, Kok Lay Teo, ChengChew Lim, Guang Ren Duan. An optimal PID controller design for nonlinear constrained optimal control problems. Discrete & Continuous Dynamical Systems  B, 2011, 16 (4) : 11011117. doi: 10.3934/dcdsb.2011.16.1101 
[19] 
Sébastien Court. Stabilization of a fluidsolid system, by the deformation of the selfpropelled solid. Part II: The nonlinear system.. Evolution Equations & Control Theory, 2014, 3 (1) : 83118. doi: 10.3934/eect.2014.3.83 
[20] 
Sébastien Court. Stabilization of a fluidsolid system, by the deformation of the selfpropelled solid. Part I: The linearized system.. Evolution Equations & Control Theory, 2014, 3 (1) : 5982. doi: 10.3934/eect.2014.3.59 
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