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A unified model for state feedback of discrete event systems I: framework and maximal permissive state feedback
1. | School of Management, Fudan University, Shanghai 200433, China |
2. | School of Science, Shenzhen University, Guang Dong 518060, China |
3. | Department of Intelligence and Informatics, Konan University, 8-9-1 Okamoto, Kobe 658-8501 |
[1] |
Qiying Hu, Chen Xu, Wuyi Yue. A unified model for state feedback of discrete event systems II: Control synthesis problems. Journal of Industrial and Management Optimization, 2008, 4 (4) : 713-726. doi: 10.3934/jimo.2008.4.713 |
[2] |
Anthony M. Bloch, Melvin Leok, Jerrold E. Marsden, Dmitry V. Zenkov. Controlled Lagrangians and stabilization of discrete mechanical systems. Discrete and Continuous Dynamical Systems - S, 2010, 3 (1) : 19-36. doi: 10.3934/dcdss.2010.3.19 |
[3] |
Qiying Hu, Wuyi Yue. Optimal control for resource allocation in discrete event systems. Journal of Industrial and Management Optimization, 2006, 2 (1) : 63-80. doi: 10.3934/jimo.2006.2.63 |
[4] |
Qiying Hu, Wuyi Yue. Two new optimal models for controlling discrete event systems. Journal of Industrial and Management Optimization, 2005, 1 (1) : 65-80. doi: 10.3934/jimo.2005.1.65 |
[5] |
Qiying Hu, Wuyi Yue. Optimal control for discrete event systems with arbitrary control pattern. Discrete and Continuous Dynamical Systems - B, 2006, 6 (3) : 535-558. doi: 10.3934/dcdsb.2006.6.535 |
[6] |
Michel Duprez, Guillaume Olive. Compact perturbations of controlled systems. Mathematical Control and Related Fields, 2018, 8 (2) : 397-410. doi: 10.3934/mcrf.2018016 |
[7] |
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 |
[8] |
Changzhi Wu, Kok Lay Teo, Volker Rehbock. Optimal control of piecewise affine systems with piecewise affine state feedback. Journal of Industrial and Management Optimization, 2009, 5 (4) : 737-747. doi: 10.3934/jimo.2009.5.737 |
[9] |
Guirong Jiang, Qishao Lu. The dynamics of a Prey-Predator model with impulsive state feedback control. Discrete and Continuous Dynamical Systems - B, 2006, 6 (6) : 1301-1320. doi: 10.3934/dcdsb.2006.6.1301 |
[10] |
Haiying Jing, Zhaoyu Yang. The impact of state feedback control on a predator-prey model with functional response. Discrete and Continuous Dynamical Systems - B, 2004, 4 (3) : 607-614. doi: 10.3934/dcdsb.2004.4.607 |
[11] |
Huawen Ye, Honglei Xu. Global stabilization for ball-and-beam systems via state and partial state feedback. Journal of Industrial and Management Optimization, 2016, 12 (1) : 17-29. doi: 10.3934/jimo.2016.12.17 |
[12] |
Peng Cui, Hongguo Zhao, Jun-e Feng. State estimation for discrete linear systems with observation time-delayed noise. Journal of Industrial and Management Optimization, 2011, 7 (1) : 79-85. doi: 10.3934/jimo.2011.7.79 |
[13] |
Dorothy Bollman, Omar Colón-Reyes. Determining steady state behaviour of discrete monomial dynamical systems. Advances in Mathematics of Communications, 2017, 11 (2) : 283-287. doi: 10.3934/amc.2017019 |
[14] |
Hans-Otto Walther. On solution manifolds of differential systems with discrete state-dependent delays. Discrete and Continuous Dynamical Systems - S, 2022 doi: 10.3934/dcdss.2022108 |
[15] |
Yuyun Zhao, Yi Zhang, Tao Xu, Ling Bai, Qian Zhang. pth moment exponential stability of hybrid stochastic functional differential equations by feedback control based on discrete-time state observations. Discrete and Continuous Dynamical Systems - B, 2017, 22 (1) : 209-226. doi: 10.3934/dcdsb.2017011 |
[16] |
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 |
[17] |
Nguyen H. Sau, Vu N. Phat. LP approach to exponential stabilization of singular linear positive time-delay systems via memory state feedback. Journal of Industrial and Management Optimization, 2018, 14 (2) : 583-596. doi: 10.3934/jimo.2017061 |
[18] |
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 |
[19] |
Qizhen Xiao, Binxiang Dai. Heteroclinic bifurcation for a general predator-prey model with Allee effect and state feedback impulsive control strategy. Mathematical Biosciences & Engineering, 2015, 12 (5) : 1065-1081. doi: 10.3934/mbe.2015.12.1065 |
[20] |
Fabio S. Priuli. State constrained patchy feedback stabilization. Mathematical Control and Related Fields, 2015, 5 (1) : 141-163. doi: 10.3934/mcrf.2015.5.141 |
2020 Impact Factor: 1.801
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