Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time

Zhao, Xudong; Zhang, Lixian; Shi, Peng; Liu, Ming

doi:10.1109/tac.2011.2178629

Cited by 993 publications

(517 citation statements)

References 24 publications

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“…Then, they obtain a MDADT method, which can reduces the conservative property of the ADT method. Inspired by the ideas in [29], we extend our results to obtain an improved MDADT method for a class of switched stochastic nonlinear systems which have quadratic stability property.…”

Section: Corollary 33mentioning

confidence: 91%

“…Therefore, it is necessary to develop an improved ADT method for the stability analysis of switched nonlinear systems with stable and unstable subsystems. On the other hand, as the authors in [29] pointed out the lower bound of ADT τ * a is independent of the system modes, thus it is probably still not anticipated. In order to solve this problem, they proposed a MDADT method to reduce the conservative property of the ADT method.…”

Section: Introductionmentioning

confidence: 94%

“…As the authors in [29] pointed out that the lower bound of ADT τ * a is independent of the system modes, and thus it is probably still not anticipated. Then, they obtain a MDADT method, which can reduces the conservative property of the ADT method.…”

Section: Corollary 33mentioning

confidence: 99%

See 2 more Smart Citations

Stability of switched stochastic nonlinear systems by an improved average dwell time method

Guo¹,

Sun²,

Zhao³

2017

J. Math. Computer Sci.

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This paper investigates the stability of switched stochastic continuous-time nonlinear systems in two cases:(1) all subsystems are global asymptotically exponentially stable in the mean (GASiM);(2) both GASiM subsystems and unstable subsystems coexist, and proposes a number of new results on the stability analysis.Firstly, an improved average dwell time (ADT) method is established for the stability of switched stochastic system by extending our previous dwell time method. Especially, an improved mode-dependent average dwell time (MDADT) method for the switched stochastic systems whose subsystems are quadratically stable in the mean is also obtained. Secondly, based on the improved ADT and MDADT methods, several new results on the stability analysis are provided. It should be pointed out that the obtained results have two advantages over the existing results, one is the conditions of the improved ADT method are simplified, the other is that the obtained lower bound of ADT (τ * a ) is also smaller than those obtained by other methods. Finally, two illustrative examples with simulation are given to show the correctness and the effectiveness of the proposed results.Keywords: Switched stochastic nonlinear system, stability in the mean, unstable subsystems, average dwell time, mode-dependent dwell time.2010 MSC: 93D20, 93E15.

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Section: Corollary 33mentioning

confidence: 91%

Section: Introductionmentioning

confidence: 94%

See 1 more Smart Citation

Stability of switched stochastic nonlinear systems by an improved average dwell time method

Guo¹,

Sun²,

Zhao³

2017

J. Math. Computer Sci.

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“…However, it has been recognized that the property in the ADT switching is still not anticipated, since the average time interval between any two consecutive switching is at least τ a , which is independent of the system mode. To release the restrictions of ADT to the switched control system, a mode-dependent ADT switching strategy is proposed by providing two mode-dependent parameters to ADT switching strategy [26].…”

Section: Introductionmentioning

confidence: 99%

Switching LPV control design with MDADT and its application to a morphing aircraft

You¹,

Li²,

Zhang³

et al. 2017

Kybernetika

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“…The switching signal coordinates the operation of the various subsystems to define which one to be activated during a certain interval. Switched systems have numerous applications in the control of mechanical systems, the automotive industry, aircraft, air traffic control, switching power converters, chemical processes, and other fields [5,19,20,[38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Positive $$L_1 $$ L 1 Observer Design for Positive Switched Systems

Xiang

Karimi

2014

Circuits Syst Signal Process

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This paper investigates the problem of L 1 observer design for positive switched systems. Firstly, a new kind of positive L 1 observer is proposed for positive switched linear delay-free systems with observable and unobservable subsystems. Based on the average dwell time approach, a sufficient condition is proposed to ensure the existence of the positive L 1 observer. Under the condition obtained, the estimated error converges to zero exponentially, and the L 1 -gain from the disturbance input to the estimated error is less than a prescribed level. Then the proposed design result is extended to positive switched systems with mixed time-varying delays, where the mixed time-varying delays are presented in the form of discrete delay and distributed delay. Finally, two numerical examples are given to demonstrate the feasibility of the obtained results.

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Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time

Cited by 993 publications

References 24 publications

Stability of switched stochastic nonlinear systems by an improved average dwell time method

Stability of switched stochastic nonlinear systems by an improved average dwell time method

Switching LPV control design with MDADT and its application to a morphing aircraft

Positive $$L_1 $$ L 1 Observer Design for Positive Switched Systems

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