Input-to-state stability of the nonlinear singular systems via small-gain theorem

Jin, Zhenghong; Wang, Zhanxiu

doi:10.1016/j.amc.2021.126171

Cited by 12 publications

(3 citation statements)

References 29 publications

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“…To overcome this type of problem, we need generalized nonlinear singular systems to solve the problem. Very few authors have studied the nonlinear singular system models [6,[12][13][14][15] and the references therein. Moreover, The problem of sliding mode control with torpidity of a class of uncertain nonlinear SDSs had been discussed in [16].…”

Section: *Corresponding Authormentioning

confidence: 99%

Some stability results on non-linear singular differential systems with random impulsive moments

Vinodkumar,

Harinie,

Fečkan

et al. 2023

Int. J. Optim. Control, Theor. Appl. (IJOCTA)

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This paper studies the exponential stability for random impulsive non-linear singular differential systems. We established some new sufficient conditions for the proposed singular differential system by using the Lyapunov function method with random impulsive time points. Further, to validate the theoretical results' effectiveness, we finally gave two numerical examples that study with graphical illustration and an additional example involving matrices with complex entries, proving the results to be true in that case as well.

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Section: *Corresponding Authormentioning

confidence: 99%

Some stability results on non-linear singular differential systems with random impulsive moments

Vinodkumar,

Harinie,

Fečkan

et al. 2023

Int. J. Optim. Control, Theor. Appl. (IJOCTA)

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“…Singular systems, which are also known as implicit systems, descriptor systems, or semi-state systems, have been widely studied due to their significance in electrical circuits, networks, and other practical systems (Boukas, 2008; Jin and Wang, 2021; Tao et al, 2017). When singular systems cause abrupt changes in structure or parameters, they should be modeled as singular Markovian jump systems (SMJSs) to solve the problem.…”

Section: Introductionmentioning

confidence: 99%

Mixed dissipative filtering design for uncertain singular Markovian jump time-varying delay systems with nonlinear perturbations and generally uncertain transition rates

Bai

Zhou

2023

Transactions of the Institute of Measurement and Control

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This paper studies the dissipative filtering of uncertain singular time-varying delay Markovian jump systems (MJSs) with nonlinear perturbations and generally uncertain transition rates (GUTRs). We focus on the design of a mixed filter, which can include mode-dependent and mode-independent filters in a unified and simple structure. First, a new Lyapunov–Krasovskii functional is proposed through the delay-decomposition approach, and improved Wirtinger-based integral inequalities are used to obtain a sufficient condition to ensure the stochastic admissibility of the considered uncertain nonlinear singular time-varying delay MJSs with dissipative performance. Based on these ingredients, the explicit expression of the desired mixed filter is obtained. Finally, some numerical examples and the filter design of a two-loop circuit network reflect the less conservatism and effectiveness of the method in this article.

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“…In the field of research on uncertain nonlinear systems, everyone is aware of how frequently the adaptive control scheme is addressed for the system and proposed for the control algorithms [12]. A priori awareness of the input gain signs of agents as control directions of agents has been the primary presumption of adaptive/robust consensus procedures in the literature [13][14][15]. Distributed consensus techniques have been devised to address the MASs issue under the assumption that the uncertainty can be linearly quantified using an artificial neural network.…”

Section: Introductionmentioning

confidence: 99%

Event-Triggered Distributed Sliding Mode Control of Fractional-Order Nonlinear Multi-Agent Systems

Jiang

Gang

et al. 2023

Symmetry

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In this study, the state consensus problem is investigated for a class of nonlinear fractional-order multi-agent systems (FOMASs) by using a dynamics event-triggered sliding mode control approach. The main objective is to steer all agents to some bounded position based on their own information and the information of neighbor agent. Different from the existing results, both asymptotic consensus problem and Zeno-free behavior are ensured simultaneously. To reach this objective, a novel event-triggered sliding mode control approach is proposed, composed of distributed dynamic event-triggered schemes, event-triggered sliding mode controllers, and auxiliary switching functions. Moreover, to implement the distributed control scheme, the fractional-order adaptive law is also developed to tuning the coupling weight, which is addressed in distributed protocol. With the improved distributed control scheme, all signals in the fractional-order closed-loop systems are guaranteed to be consensus and bounded, and a novel approach is developed to avoid the Zeno behavior. Finally, the availability and the effectiveness of the above-mentioned approach are demonstrated by means of a numerical example.

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Input-to-state stability of the nonlinear singular systems via small-gain theorem

Cited by 12 publications

References 29 publications

Some stability results on non-linear singular differential systems with random impulsive moments

Some stability results on non-linear singular differential systems with random impulsive moments

Mixed dissipative filtering design for uncertain singular Markovian jump time-varying delay systems with nonlinear perturbations and generally uncertain transition rates

Event-Triggered Distributed Sliding Mode Control of Fractional-Order Nonlinear Multi-Agent Systems

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