Stability of mode-dependent linear switched singular systems with stable and unstable subsystems

Wei, Jumei; Zhi, Huimin; Li, Kai; Mu, Xiaomin

doi:10.1016/j.jfranklin.2019.02.014

Cited by 33 publications

(25 citation statements)

References 30 publications

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“…Then the closed-loop system with stabilizing controllers K p = Y p X −1 p is GUES for each signal having DADT (23).…”

Section: B Discrete-time Casementioning

confidence: 99%

Stability Analysis of Switched Systems Under Φ-Dependent Average Dwell Time Approach

Zhai

2020

IEEE Access

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The concept of the -dependent average dwell time ( DADT) is presented for both continuous-time and discrete-time switched systems. Some new stability criteria for switched systems are obtained under the DADT approach, which depends on the choice of the classification function . The relationships among the classic ADT approach, the mode-dependent ADT approach and the proposed one are also discussed, which shows that those existing approaches can be unified to the new one. More concretely, stability results based on ADT/MDADT schemes can be regarded as some special cases of our results with specific functions . The obtained switching design by the new approach is more flexible and practical. At last, a numerical example with some comparisons among the differences in the selection of is included to explain the validity and advantages of the new technique.INDEX TERMS Switched systems, stability, stable subsystems, -dependent average dwell time.

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“…Then the closed-loop system with stabilizing controllers K p = Y p X −1 p is GUES for each signal having DADT (23).…”

Section: B Discrete-time Casementioning

confidence: 99%

Stability Analysis of Switched Systems Under Φ-Dependent Average Dwell Time Approach

Zhai

2020

IEEE Access

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“…Many scholars give some investigations on impulsive switched singular systems, for example, [20,21]. On the other hand, it is a hot topic for switched systems with unstable subsystems in the real world [13,22] and [23]. But there are few investigations about impulsive switched singular systems with partial subsystems unstable, which motives us to study.…”

Section: Introductionmentioning

confidence: 99%

Stabilization and control of switched singular systems with impulse under a new average dwell time strategy

2021

Asian Journal of Control

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In this paper, we extend the Φ‐dependent average dwell time approach to impulsive switched singular systems with stable and unstable subsystems and discuss its stability problem. Under the improved Φ‐dependent average dwell time and multiple discontinuous Lyapunov functions approaches, some new stability criteria of impulsive switched singular systems are obtained. In particular, average dwell time and mode‐dependent dwell time approaches that are discussed in many works can also be unified to our approach. And based on the new approach, stability results of some special switched systems are given. Finally, a numerical example is discussed to illustrate the merits of the method.

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“…In many actual circumstances, however, both stable and unstable subsystems may be contained in a switched system, the fast-slow switching scheme is often used to deal with stability of such systems. Based on fast-slow switching scheme and MLF and mode-dependent ADT approach, stability of linear switched systems [9], singular switched systems [10], linear and nonlinear delayed switched systems [11,12] is solved.…”

Section: Introductionmentioning

confidence: 99%

Stability Analysis of Fractional Switched Systems With Stable and Unstable Subsystems

Yang

Liu

et al. 2021

Preprint

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This article addresses stability of fractional switched systems (FSSs) with stable and unstable subsystems. First, several algebraic conditions are presented to guarantee asymptotic stability by applying multiple Lyapunov function (MLF) method, dwell time technique and fast-slow switching mechanism. Then, some stability conditions which have less conservation are also provided by utilizing average dwell time (ADT) technique and the property of Mittag-Leffler function. In addition, sufficient conditions on asymptotic stability of delayed FSSs are obtained by virtue of fractional Razumikhin technique. Finally, several examples are given to reveal that the conclusions obtained are valid.

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Stability of mode-dependent linear switched singular systems with stable and unstable subsystems

Cited by 33 publications

References 30 publications

Stability Analysis of Switched Systems Under Φ-Dependent Average Dwell Time Approach

Stability Analysis of Switched Systems Under Φ-Dependent Average Dwell Time Approach

Stabilization and control of switched singular systems with impulse under a new average dwell time strategy

Stability Analysis of Fractional Switched Systems With Stable and Unstable Subsystems

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