Passivity-based control for Hopfield neural networks using convex representation

Ji, D. H.; Koo, J. H.; Won, Sangchul; Lee, Sang Moon; Park, Ju H.

doi:10.1016/j.amc.2010.12.100

Cited by 60 publications

(13 citation statements)

References 22 publications

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“…Also, when N D 3.0, we are getting min D 1.2331, and the exponential decay rate is obtained as D 0.0288; then from (20), we have jjx.t/jj 6 4.0239e 0.0288t jj jj. Also, the state responses of the considered neural networks are presented in Figure 3 ( 20,10). Figure 3(b) represents the time response of the state vector x.t/ of the closed-loop system.…”

Section: Example 42 Consider the Neural Network (3) With The Followmentioning

confidence: 99%

Robust exponential stability and H_∞ control for switched neutral‐type neural networks

Mathiyalagan

Sakthivel

Anthoni

2012

Adaptive Control & Signal

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In this paper, we consider the problem of robust exponential stability for a class of uncertain switched delayed neutral-type neural networks with an H 1 performance level > 0. Further, the result is extended to design an H 1 control law to ensure the robust exponential stabilization of the closed-loop neural networks about its equilibrium point with the guaranteed H 1 performance level , for all norm bounded parameter uncertainties. On the basis of a new set of Lyapunov-Krasovskii functional, linear matrix inequality technique, and average dwell time approach, a set of novel sufficient conditions is derived for the existence of H 1 performance and as well as existence of H 1 control problem. The obtained results are derived in the form of convex optimization problems, which can be solved easily by the standard Matlab control toolbox. Numerical examples with simulation results are provided to illustrate the effectiveness of the proposed method.

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Section: Example 42 Consider the Neural Network (3) With The Followmentioning

confidence: 99%

Robust exponential stability and H_∞ control for switched neutral‐type neural networks

Mathiyalagan

Sakthivel

Anthoni

2012

Adaptive Control & Signal

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“…At the same time, passivity analysis approach has been used in control problems [25][26][27]. In [22,24], the authors investigated the passivity for neural networks of neutral type with time-varying delays in the leakage term by constructing proper Lyapunov-Krasovskii functional.…”

Section: Introductionmentioning

confidence: 99%

Delay-dependent passivity analysis of impulsive neural networks with time-varying delays

Jian

2015

Neurocomputing

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“…Recently, the stability results of time-delay neural networks have been presented in [30][31][32][33][34][35][36]. In addition, many results on passivity of neural networks with time-delay have been proposed [37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

New Results on Passivity Analysis for Uncertain Neural Networks with Time-Varying Delay

Shao

Karimi

et al. 2014

Abstract and Applied Analysis

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The paper investigates the stability and passivity analysis problems for a class of uncertain neural networks with time-delay via delta operator approach. Both the parameter uncertainty and the generalized activation functions are considered in this paper. By constructing an appropriate Lyapunov-Krasovskii functional, some new stability and passivity conditions are obtained in terms of linear matrix inequalities (LMIs). The main characteristic of this paper is to obtain novel stability and passivity analysis criteria for uncertain neural networks with time-delay in the delta operator system framework. A numerical example is presented to demonstrate the effectiveness of the proposed results.

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Passivity-based control for Hopfield neural networks using convex representation

Cited by 60 publications

References 22 publications

Robust exponential stability and H_∞ control for switched neutral‐type neural networks

Robust exponential stability and H_∞ control for switched neutral‐type neural networks

Delay-dependent passivity analysis of impulsive neural networks with time-varying delays

New Results on Passivity Analysis for Uncertain Neural Networks with Time-Varying Delay

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Passivity-based control for Hopfield neural networks using convex representation

Cited by 60 publications

References 22 publications

Robust exponential stability and H ∞ control for switched neutral‐type neural networks

Robust exponential stability and H ∞ control for switched neutral‐type neural networks

Delay-dependent passivity analysis of impulsive neural networks with time-varying delays

New Results on Passivity Analysis for Uncertain Neural Networks with Time-Varying Delay

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Robust exponential stability and H_∞ control for switched neutral‐type neural networks

Robust exponential stability and H_∞ control for switched neutral‐type neural networks