Global exponential stability of impulsive switched positive nonlinear systems with mode-dependent impulses

Kang, Yu; Zhang, Niankun; Chen, Guoyong

doi:10.1016/j.amc.2022.127515

Cited by 10 publications

(4 citation statements)

References 24 publications

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“…Based on ( 28), (29), and the results in [21], under the zero initial condition, when µ ∈ (0, 1], we have…”

Section: A Relaxed Stability Conditionsmentioning

confidence: 99%

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New Stability Criterion for Positive Impulsive Fuzzy Systems by Applying Polynomial Impulse-Time-Dependent Method

Wang,

Zheng,

Xie

et al. 2024

IEEE Trans. Cybern.

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“…Based on ( 28), (29), and the results in [21], under the zero initial condition, when µ ∈ (0, 1], we have…”

Section: A Relaxed Stability Conditionsmentioning

confidence: 99%

“…The stability and stabilization of impulsive systems is always a hot issue [25]- [29]. Many scholars are committed to Likui Wang is with the School of Artificial Intelligence, Hebei University of Technology, Tianjin 300401, China (e-mail: wlk0228@163.com).…”

Section: Introductionmentioning

confidence: 99%

New Stability Criterion for Positive Impulsive Fuzzy Systems by Applying Polynomial Impulse-Time-Dependent Method

Wang,

Zheng,

Xie

et al. 2024

IEEE Trans. Cybern.

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show abstract

“…) we can represent this perturbation model in the form (21). Since all subsystems are positive and we can use (29) to compute their real stability radii and get the upper bound in (45) as…”

Section: F I G U R Ementioning

confidence: 99%

“…In the meantime, for the class of positive or compartmental switched linear systems, besides traditional quadratic Lyapunov functions, a more restrictive notion of common linear copositive Lyapunov functions, as well as the comparison principle, are exploited effectively in the study of stability problems (see e.g., References 20–22 and also References 23–25 for time‐delay systems). Some recent development in stability problems for positive switched systems can be found, for instance, in References 26–29 and the references given therein. We would like to emphasize that the above references are all dedicated to the stability analysis of switched systems under arbitrary switching signals.…”

Section: Introductionmentioning

confidence: 99%

Robustness of exponential stability of a class of switched positive linear systems with time delays

Son,

Van Ngoc

2023

Intl J Robust & Nonlinear

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SummaryThis paper investigates the robustness of exponential stability of a class of positive switched systems described by linear functional differential equations (FDE) under arbitrary switching or average dwell time switching. We will measure the stability robustness of such a system (which is considered as a nominal system) subject to parameter affine perturbations of its constituent subsystems matrices, by introducing the notion of structured stability radius. Some formulas for computing this radius, as well as estimating its lower bounds and upper bounds, are established. In the case of switched linear systems with multiple discrete time‐delays or/and distributed time‐delays, the obtained results yield tractably computable formulas or bounds for the stability radius. The extension of the obtained results to non‐positive systems and the class of multi‐perturbations has been presented. Examples are given to illustrate the proposed method.

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Asynchronous nonfragile guaranteed performance control for singular switched positive systems: An event‐triggered mechanism

Wang,

Li,

et al. 2024

Intl J Robust & Nonlinear

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SummaryThis paper addresses the guaranteed performance control problem for a class of singular switched positive systems, where the switching signal is subject to a state‐dependent process. Firstly, the causality, regularity, positivity, and asymptotical stability of the considered systems are discussed. In order to prevent the occurrence of data collisions and reduce the consumption of communication resources, the event‐triggered (E‐T) mechanism is applied. This is one of the initial attempts to introduce the E‐T scheme for such special systems. Besides, an asynchronous nonfragile controller under the E‐T scheduling scheme is designed to make certain that the resulting closed‐loop systems are causal, regular, positive, asymptotically stable, and have a guaranteed performance value . Through the application of the co‐positive Lyapunov function method and the min‐projection strategy, the corresponding sufficient conditions are given in the form of linear programming (LP). Finally, the effectiveness of the controller proposed in this paper is verified via two simulation examples.

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Global exponential stability of impulsive switched positive nonlinear systems with mode-dependent impulses

Cited by 10 publications

References 24 publications

New Stability Criterion for Positive Impulsive Fuzzy Systems by Applying Polynomial Impulse-Time-Dependent Method

New Stability Criterion for Positive Impulsive Fuzzy Systems by Applying Polynomial Impulse-Time-Dependent Method

Robustness of exponential stability of a class of switched positive linear systems with time delays

Asynchronous nonfragile guaranteed performance control for singular switched positive systems: An event‐triggered mechanism

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