Stability Analysis of A Class of Hybrid Stochastic Retarded Systems Under Asynchronous Switching

Kang, Yu; Zhai, Di‐Hua; Liu, Shuai; Zhao, Yun‐Bo; Zhao, Ping

doi:10.1109/tac.2014.2305931

Cited by 121 publications

(42 citation statements)

References 42 publications

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Section: Stability Analysis Under Extended Asynchronous Switchingmentioning

confidence: 98%

“…This complicates the system and is different from the normal asynchronous case in [27]. 2) The system in this paper is deterministic switched system while the system in [27] is Markovian switching. 3) Kang et al [27] considered only the detection delay while this paper considered both nonzero detection delay and false alarm.…”

Section: Stability Analysis Under Extended Asynchronous Switchingmentioning

confidence: 98%

“…2) The system in this paper is deterministic switched system while the system in [27] is Markovian switching. 3) Kang et al [27] considered only the detection delay while this paper considered both nonzero detection delay and false alarm. The inclusion of false alarm makes the extended asynchronous switching model in this paper more practical.…”

Section: Stability Analysis Under Extended Asynchronous Switchingmentioning

confidence: 99%

“…Compared to the conventional asynchronous switching, the developed extended asynchronous switching in this paper can better reflect the actual situation in practical switched system control. In addition, it was shown in [27] that the nonzero detection delay can make a closed-loop system unstable. Therefore, the existence of false alarm will inevitably further decrease the control performance.…”

mentioning

confidence: 99%

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On Input-to-State Stability of Switched Stochastic Nonlinear Systems Under Extended Asynchronous Switching

Kang

Zhai

Liu

et al. 2016

IEEE Trans. Cybern.

Self Cite

115

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An extended asynchronous switching model is investigated for a class of switched stochastic nonlinear retarded systems in the presence of both detection delay and false alarm, where the extended asynchronous switching is described by two independent and exponentially distributed stochastic processes, and further simplified as Markovian. Based on the Razumikhin-type theorem incorporated with average dwell-time approach, the sufficient criteria for global asymptotic stability in probability and stochastic input-to-state stability are given, whose importance and effectiveness are finally verified by numerical examples.

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Section: Stability Analysis Under Extended Asynchronous Switchingmentioning

confidence: 98%

Section: Stability Analysis Under Extended Asynchronous Switchingmentioning

confidence: 98%

Section: Stability Analysis Under Extended Asynchronous Switchingmentioning

confidence: 99%

mentioning

confidence: 99%

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On Input-to-State Stability of Switched Stochastic Nonlinear Systems Under Extended Asynchronous Switching

Kang

Zhai

Liu

et al. 2016

IEEE Trans. Cybern.

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115

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“…In addition, the randomly switching system can be used to model the system affected by random structural changes. It is known that the randomly switched system serves as a suitable modelling paradigm and has wide applications to diverse areas such as economic systems, manufacturing systems, communication systems and biological systems affected by random delays and component failures [1][2][3][4][5].…”

Section: Introductionmentioning

confidence: 99%

Stability Analysis for Continuous-Time Switched Systems With Stochastic Switching Signals

Tang

Cao

et al. 2018

IEEE Trans. Automat. Contr.

161

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Abstract-This paper is concerned with the stability problem of randomly switched systems. By using the probability analysis method, the almost surely globally asymptotical stability and almost surely exponential stability are investigated for switched systems with semi-Markovian switching, Markovian switching and renewal process switching signals, respectively. Two examples are presented to demonstrate the effectiveness of the proposed results, in which an example of consensus of multi-agent systems with nonlinear dynamics is taken into account.

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Sliding Mode Control for an Inhomogeneous Heat Equation with Global Constraint

Zhang

2017

Asian Journal of Control

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In this paper, an inhomogeneous heat equation with distributed load is controlled, on the basis of an infinite dimensional generalization of sliding-mode control method. The control law is designed so that: (i) the temperature can track a desired reference signal, and (ii) the temperature can remain in a constrained region. We show that, with the designed control, the tracking error is bounded stable without violation of the constraint. The stability is proved under the designed control law. Numerical simulations are given to illustrate the effectiveness of the designed control law.

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Stability Analysis of A Class of Hybrid Stochastic Retarded Systems Under Asynchronous Switching

Cited by 121 publications

References 42 publications

On Input-to-State Stability of Switched Stochastic Nonlinear Systems Under Extended Asynchronous Switching

On Input-to-State Stability of Switched Stochastic Nonlinear Systems Under Extended Asynchronous Switching

Stability Analysis for Continuous-Time Switched Systems With Stochastic Switching Signals

Sliding Mode Control for an Inhomogeneous Heat Equation with Global Constraint

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