Finite-Time Asynchronous Stabilization for Nonlinear Hidden Markov Jump Systems with Parameter Varying in Continuous-Time Case
The finite-time asynchronous stabilization problem has received great attention because of the wide application of actual engineering. In this paper, we consider the problem of finite-time asynchronous stabilization for nonlinear hidden Markov jump systems (HMJSs) with linear parameter varying. Comp...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/1208951 |
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| _version_ | 1832547034537656320 |
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| author | Lianjun Xiao Xiaofeng Wang Lingling Gao |
| author_facet | Lianjun Xiao Xiaofeng Wang Lingling Gao |
| author_sort | Lianjun Xiao |
| collection | DOAJ |
| description | The finite-time asynchronous stabilization problem has received great attention because of the wide application of actual engineering. In this paper, we consider the problem of finite-time asynchronous stabilization for nonlinear hidden Markov jump systems (HMJSs) with linear parameter varying. Compared with the existing research results on Markov jump systems, this paper considers the HMJSs which contain both the hidden state and the observed state in continuous-time case. Moreover, we consider the parameters of the systems are time varying. The aim of the paper is to design a proper observation-mode-based asynchronous controller such that the closed-loop HMJSs with linear parameter varying be stochastically finite-time bounded with H∞ performance (SFTB-H∞). Then, we give some sufficient conditions to solve the SFTB-H∞ asynchronous controller by considering the stochastic Lyapunov–Krasovskii functional (SLKF) methods. Finally, a numerical example is used to show the validity of the main results. |
| format | Article |
| id | doaj-art-b58a074e6db646708b2981d23c4e18fe |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-b58a074e6db646708b2981d23c4e18fe2025-02-03T06:46:20ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/12089511208951Finite-Time Asynchronous Stabilization for Nonlinear Hidden Markov Jump Systems with Parameter Varying in Continuous-Time CaseLianjun Xiao0Xiaofeng Wang1Lingling Gao2School of Artificial Intelligence and Big Data, Hefei University, Hefei 230601, ChinaAnhui Provincial Engineering Laboratory of Big Data Technology Application for Urban Infrastructure, School of Artificial Intelligence and Big Data, Hefei University, Hefei 230601, ChinaSchool of Artificial Intelligence and Big Data, Hefei University, Hefei 230601, ChinaThe finite-time asynchronous stabilization problem has received great attention because of the wide application of actual engineering. In this paper, we consider the problem of finite-time asynchronous stabilization for nonlinear hidden Markov jump systems (HMJSs) with linear parameter varying. Compared with the existing research results on Markov jump systems, this paper considers the HMJSs which contain both the hidden state and the observed state in continuous-time case. Moreover, we consider the parameters of the systems are time varying. The aim of the paper is to design a proper observation-mode-based asynchronous controller such that the closed-loop HMJSs with linear parameter varying be stochastically finite-time bounded with H∞ performance (SFTB-H∞). Then, we give some sufficient conditions to solve the SFTB-H∞ asynchronous controller by considering the stochastic Lyapunov–Krasovskii functional (SLKF) methods. Finally, a numerical example is used to show the validity of the main results.http://dx.doi.org/10.1155/2020/1208951 |
| spellingShingle | Lianjun Xiao Xiaofeng Wang Lingling Gao Finite-Time Asynchronous Stabilization for Nonlinear Hidden Markov Jump Systems with Parameter Varying in Continuous-Time Case Complexity |
| title | Finite-Time Asynchronous Stabilization for Nonlinear Hidden Markov Jump Systems with Parameter Varying in Continuous-Time Case |
| title_full | Finite-Time Asynchronous Stabilization for Nonlinear Hidden Markov Jump Systems with Parameter Varying in Continuous-Time Case |
| title_fullStr | Finite-Time Asynchronous Stabilization for Nonlinear Hidden Markov Jump Systems with Parameter Varying in Continuous-Time Case |
| title_full_unstemmed | Finite-Time Asynchronous Stabilization for Nonlinear Hidden Markov Jump Systems with Parameter Varying in Continuous-Time Case |
| title_short | Finite-Time Asynchronous Stabilization for Nonlinear Hidden Markov Jump Systems with Parameter Varying in Continuous-Time Case |
| title_sort | finite time asynchronous stabilization for nonlinear hidden markov jump systems with parameter varying in continuous time case |
| url | http://dx.doi.org/10.1155/2020/1208951 |
| work_keys_str_mv | AT lianjunxiao finitetimeasynchronousstabilizationfornonlinearhiddenmarkovjumpsystemswithparametervaryingincontinuoustimecase AT xiaofengwang finitetimeasynchronousstabilizationfornonlinearhiddenmarkovjumpsystemswithparametervaryingincontinuoustimecase AT linglinggao finitetimeasynchronousstabilizationfornonlinearhiddenmarkovjumpsystemswithparametervaryingincontinuoustimecase |