On stability analysis of random impulsive and switching neural networks

Jiao, Ticao; Park, Ju H.; Zong, Guangdeng; Zhao, Yanlei; Du, Qinjun

doi:10.1016/j.neucom.2019.03.039

Cited by 15 publications

(8 citation statements)

References 43 publications

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“…One is the stochastic impulsive intensity, that is, the impulses are modeled as a stochastic difference equation. For example, the impulses in [19,20] contained the random variable sequence so that the impulsive intensity was random. The other is the stochastic impulsive density, that is, the number of impulses is a random variable or the impulses occur at random moments.…”

Section: Introductionmentioning

confidence: 99%

Improved noise‐to‐state stability criteria of random nonlinear systems with stochastic impulses

Feng

Park

Zhang

2020

IET Control Theory & Appl

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This paper considers noise‐to‐state stability for random non‐linear systems with stochastic impulses. The impulsive random non‐linear systems contain three random characteristics: the second‐moment processes in continuous dynamics, the sequence of random variables in discrete dynamics, and the number of stochastic impulses obeyed a renewal process. Firstly, the improved criteria of noise‐to‐state stability are established for random non‐linear systems subject to unstable stochastic impulses based on the uniformly asymptotically stable function. Secondly, improved Lyapunov approaches of NSS with unstable stochastic continuous dynamics are accomplished by the uniformly exponentially stable function. Finally, two numerical examples are used to illustrate the feasibility of the proposed methods.

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Section: Introductionmentioning

confidence: 99%

Improved noise‐to‐state stability criteria of random nonlinear systems with stochastic impulses

Feng

Park

Zhang

2020

IET Control Theory & Appl

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“…In recent years, increasing attention has been paid to the analysis and synthesis of impulsive switched systems due to their significance both in theory and applications [3,4]. There are many cases where impulsive control and switched control could achieve better results, and many significant results have been obtained for the stability analysis and controller design of impulsive switched systems (previous studies [5‐11] and references therein). The input‐to‐state stability of switched nonlinear input delay systems under asynchronous switching was investigated in Wang et al [5].…”

Section: Introductionmentioning

confidence: 99%

“…Wang et al [10] investigated switched neutral systems with all unstable subsystems. Global asymptotic stability and noise‐to‐state stability analyses of random impulsive switched neural network was investigated in Jiao et al [11].…”

Section: Introductionmentioning

confidence: 99%

Regional stability analysis of impulsive switched nonlinear systems with multiple equilibrium points

Wang

Feng

2020

Asian Journal of Control

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This paper addresses the regional stability problem for impulsive switched nonlinear systems (ISNSs) whose subsystems have more than one equilibrium point, that is, multiple equilibrium points (MEPs) coexist. Meanwhile, we derive analytical results and sufficient conditions about the regional stability. Through investigating the dynamical behavior of ISNSs with MEPs, the multiple Lyapunov functions (MLFs) method is established for the regional stability. It is shown that main results obtained in this paper not only guarantee the regional stability of ISNSs with MEPs under arbitrary switching signals but also provide a new method to determine the corresponding stable regions for the regional stability. Numerical simulations are given to illustrate and verify advantages of our proposed results.

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“…[30,28,38,19,25]. Note that the constraint on the activation functions in (10) is weaker than those imposed in [22,17,33,12,7].…”

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confidence: 99%

“…ADT describes a type of switching signal for which despite sometimes the distance between two consecutive switching instants may be less than T a , the average length between consecutive switching instants is at least T a . It is noteworthy that, in the light of (12), chatter bound N c should be greater than 0 for any switched system.…”

mentioning

confidence: 99%

Fault-tolerant anti-synchronization control for chaotic switched neural networks with time delay and reaction diffusion

Zhou¹,

Liu²,

Park³

et al. 2021

Discrete &Amp; Continuous Dynamical Systems - S

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This paper is concerned with the issue of fault-tolerant anti-synchronization control for chaotic switched neural networks with time delay and reaction-diffusion terms under the drive-response scheme, where the response system is assumed to be disturbed by stochastic noise. Both arbitrary switching signal and average dwell-time limited switching signal are taken into account. With the aid of the Lyapunov-Krasovskii functional approach and combining with the generalized Itô formula, sufficient conditions on the mean-square exponential stability for the anti-synchronization error system are presented. Then, by utilizing some decoupling methods, constructive design strategies on the desired fault-tolerant anti-synchronization controller are proposed. Finally, an example is given to demonstrate the effectiveness of our design strategies.

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On stability analysis of random impulsive and switching neural networks

Cited by 15 publications

References 43 publications

Improved noise‐to‐state stability criteria of random nonlinear systems with stochastic impulses

Improved noise‐to‐state stability criteria of random nonlinear systems with stochastic impulses

Regional stability analysis of impulsive switched nonlinear systems with multiple equilibrium points

Fault-tolerant anti-synchronization control for chaotic switched neural networks with time delay and reaction diffusion

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