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离散时间时变Markov跳变系统的线性二次最优控制
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作者 赵红霞 何鑫 +1 位作者 贾亚琪 张春梅 《应用数学进展》 2023年第5期2569-2581,共13页
研究了离散时间时变Markov跳变系统在有限时域上的最优控制问题。证明了任何离散时间时变Markov跳变系统的最优控制问题都可以通过广义代数Riccati方程的解来确定;也证明了最优控制问题的可达性是广义代数Riccati方程解的存在性的充分条... 研究了离散时间时变Markov跳变系统在有限时域上的最优控制问题。证明了任何离散时间时变Markov跳变系统的最优控制问题都可以通过广义代数Riccati方程的解来确定;也证明了最优控制问题的可达性是广义代数Riccati方程解的存在性的充分条件;最后通过数值举例来验证结果的正确性。 展开更多
关键词 线性二次最优控制 离散时间时变系统 广义代数Riccati方程 MARKOV跳变系统
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Exponential stability for networked control systems based on the model of nonlinear discrete-time system with time-varying delay 被引量:1
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作者 HUANGJian GUANZhihong WANGZhongdong 《Journal of Chongqing University》 CAS 2004年第1期30-33,共4页
An uncertain nonlinear discrete-time system model with time-varying input delays for networked control systems (NCSs) is presented. The problem of exponential stability for the system is considered and some new criter... An uncertain nonlinear discrete-time system model with time-varying input delays for networked control systems (NCSs) is presented. The problem of exponential stability for the system is considered and some new criteria of exponential stability are obtained based on norm inequality methods. A numerical example is given todemonstrate that those criteria are useful to analyzing the stability of nonlinear NCSs. 展开更多
关键词 networked control systems nonlinear discrete-time system time-varying delay exponential stability
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ON NEARLY-CONTROLLABLE SUBSPACES OF A CLASS OF DISCRETE-TIME BILINEAR SYSTEMS
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作者 TIE Lin 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2013年第4期512-526,共15页
If a linear time-invariant system is uncontrollable,then the state space can be decomposed as a direct sum of a controllable subspace and an uncontrollable subspace.In this paper,for a class of discrete-time bilinear ... If a linear time-invariant system is uncontrollable,then the state space can be decomposed as a direct sum of a controllable subspace and an uncontrollable subspace.In this paper,for a class of discrete-time bilinear systems which are uncontrollable but can be nearly controllable,by studying the nearly-controllable subspaces and defining the near-controllability index,the controllability properties of the systems are fully characterized.Examples are provided to illustrate the conceptions and results of the paper. 展开更多
关键词 Bilinear systems discrete-time systems near-controllability near-controllability index nearly-controllable subspaces.
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