Passivity-based control for uncertain stochastic jumping systems with mode-dependent round-trip time delays

Shen, Hao; Xu, Shengyuan; Lu, Junwei; Zhou, Jianping

doi:10.1016/j.jfranklin.2011.11.011

Cited by 126 publications

(57 citation statements)

References 22 publications

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“…And the existence of time delays is the sources of poor performance and instability. Hence, many researchers have been paid much effort on the stability of delayed dynamical systems [16,17,22,23,25,26,[31][32][33][34][35]37,[41][42][43][44]46]. Moreover, almost all existing physical and engineering systems unavoidably include uncertainties due to inaccurate modeling, component aging, measurement errors, exterior conditions, or parameter variations [45].…”

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confidence: 99%

Robust Delay-Dependent Stability Criteria for Time-Varying Delayed Lur’e Systems of Neutral Type

Liu

Lee

Kwon

et al. 2014

Circuits Syst Signal Process

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This paper deals with the problem of the robust delay-dependent stability of uncertain Lur'e systems with neutral-type time-varying delays. By constructing a set of Lyapunov-Krasovskii functional, less conservative robust stability criteria are derived in terms of linear matrix inequalities. The contribution in reduced conservation of the proposed stability criteria relies on the reciprocally convex method and Wirtinger inequality, which provides tighter upper bound than Jensen inequality. Three numerical examples are provided to show the effectiveness of the proposed method.

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mentioning

confidence: 99%

Robust Delay-Dependent Stability Criteria for Time-Varying Delayed Lur’e Systems of Neutral Type

Liu

Lee

Kwon

et al. 2014

Circuits Syst Signal Process

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“…Finally, a numerical example is employed to demonstrate the effectiveness of our propose approach. Possible research topics in the future is to cope with the non-fragile finite-time l 2 −l ∞ state estimation problem for more complex Markov jump systems [3,17] and multi-agent systems [29].…”

Section: Discussionmentioning

confidence: 99%

Non-fragile finite-timel2−l∞state estimation for discrete-time Markov jump neural networks with unreliable communication links

Shen

Chen

et al. 2015

Applied Mathematics and Computation

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“…Finally, a numerical example illustrates the effectiveness of the proposed method. In our further work, we will extend the proposed results to switched nonlinear systems or switched systems with Markov jump framework [30][31][32]. …”

Section: Discussionmentioning

confidence: 99%

Finite-time H ∞ control for switched systems with time-varying delay using delta operator approach

Qin

Xiang

Karimi

2014

Int. J. Control Autom. Syst.

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Finite-time H ∞ control for switched systems with time-varying delay using delta operator approach is investigated in this paper. Firstly, by using the average dwell time approach and delta operator theory, sufficient conditions for H ∞ finite-time boundedness of the underlying systems are derived. Then a state feedback controller is proposed such that the resulting closed-loop system is H ∞ finitetime bounded. All the obtained results are formulated in terms of linear matrix inequalities (LMIs). Finally, an example is presented to show the validity of the proposed results.

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Passivity-based control for uncertain stochastic jumping systems with mode-dependent round-trip time delays

Cited by 126 publications

References 22 publications

Robust Delay-Dependent Stability Criteria for Time-Varying Delayed Lur’e Systems of Neutral Type

Robust Delay-Dependent Stability Criteria for Time-Varying Delayed Lur’e Systems of Neutral Type

Non-fragile finite-timel2−l∞state estimation for discrete-time Markov jump neural networks with unreliable communication links

Finite-time H ∞ control for switched systems with time-varying delay using delta operator approach

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