H∞ filtering for a class of discrete-time singular Markovian jump systems with time-varying delays

Ding, Yucai; Liu, Hui; Cheng, Jun

doi:10.1016/j.isatra.2014.05.005

Cited by 77 publications

(16 citation statements)

References 28 publications

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“…When singular systems experience abrupt changes in their structures, it is natural to model them as singular Markovian jump systems [1,2]. The analysis and synthesis of such class of systems have gained considerable attention because of their importance in applications (see, e.g., the literature [3][4][5][6][7][8][9][10] and the references therein).…”

Section: Introductionmentioning

confidence: 99%

Estimation and Synthesis of Reachable Set for Singular Markovian Jump Systems

Ding

Liu

2018

Complexity

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The problems of reachable set estimation and state-feedback controller design are investigated for singular Markovian jump systems with bounded input disturbances. Based on the Lyapunov approach, several new sufficient conditions on state reachable set and output reachable set are derived to ensure the existence of ellipsoids that bound the system states and output, respectively. Moreover, a state-feedback controller is also designed based on the estimated reachable set. The derived sufficient conditions are expressed in terms of linear matrix inequalities. The effectiveness of the proposed results is illustrated by numerical examples.

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Section: Introductionmentioning

confidence: 99%

Estimation and Synthesis of Reachable Set for Singular Markovian Jump Systems

Ding

Liu

2018

Complexity

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“…Meanwhile, TDSs have received considerable interest for their extensive applications in practical systems, such as mechanics, economy, neural networks, physics, medicine, biology, and engineering systems. Thus, it is theoretically and practically important to study the dynamical systems with time delay …”

Section: Introductionmentioning

confidence: 99%

“…Thus, it is theoretically and practically important to study the dynamical systems with time delay. To date, many researchers have invested a lot of time and effort to investigate the problem of stability analysis for TDSs in the real engineering systems, such as singular systems, 4,5 Markov jump systems, 6,7 synchronization issues, 8,9 sliding mode control, 10 robust nonfragile filtering, 11 H ∞ tracking, 12 uncertain neural networks, 13 and other scientific areas. 14,15 The existing results of TDSs can be classified into 2 categories: delay-independent and delay-dependent ones.…”

Section: Introductionmentioning

confidence: 99%

Secondary delay‐partition approach on robust performance analysis for uncertain time‐varying Lurie nonlinear control system

Shi¹,

Tang²,

Liu

et al. 2017

Optim Control Appl Methods

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Summary This paper investigates the problem of robust performance analysis for Lurie nonlinear control system with parameter uncertainties and interval time‐varying delays. Based on an augmented Lyapunov‐Krasovskii functional including multiple integral terms, new delay‐dependent robust stability criteria are derived by proposing a novel secondary delay‐partition approach. Moreover, to obtain less conservative stability conditions, an optimized integral inequality is developed by introducing an adjustable parameter ς1. Finally, 5 numerical simulation examples are given to illustrate the effectiveness and advantages of the proposed results.

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“…Therefore, the issue of stability analysis for TDSs has become a popular subject of research for their extensive applications in practical systems, such as H ∞ out tracking control system [36], markovian jump system [32], H ∞ filtering [4], reliable passive control for singular systems [28], dissipativity analysis [38], neural networks [22,23], and other scientific areas.…”

Section: Introductionmentioning

confidence: 99%

Novel delay-dependent robust stability criteria for neutral-type time-varying uncertain Lurie nonlinear control system with mixed time delays

Shi¹,

Wei²,

Zhong³

et al. 2017

J. Nonlinear Sci. Appl.

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This study examines the problem of robust stability analysis of neutral-type time-varying uncertain Lurie nonlinear control system with mixed time delays. Firstly, by discretizing the time-delay interval into non-uniformly multiple subintervals and decomposing the corresponding integral intervals to estimate the bounds of integral terms more exactly, less conservative stability criteria are derived. Secondly, based on the above delay-partitioning method, a newly augmented Lyapunov-Krasovkii functional is constructed. Thirdly, by taking full advantage of Wirtinger's integral inequality, which can provide tighter upper bound than Jensen's inequality, novel delay-dependent robust stability conditions are obtained in terms of linear matrix inequalities. Finally, several numerical examples are presented to illustrate the effectiveness and advantages of the theoretical results.

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H∞ filtering for a class of discrete-time singular Markovian jump systems with time-varying delays

Cited by 77 publications

References 28 publications

Estimation and Synthesis of Reachable Set for Singular Markovian Jump Systems

Estimation and Synthesis of Reachable Set for Singular Markovian Jump Systems

Secondary delay‐partition approach on robust performance analysis for uncertain time‐varying Lurie nonlinear control system

Novel delay-dependent robust stability criteria for neutral-type time-varying uncertain Lurie nonlinear control system with mixed time delays

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