Improved mixed‐delay‐dependent asymptotic stability criteria for neutral systems

Ding, Liming; He, Yong; Wu, Min; Ning, Chongyang

doi:10.1049/iet-cta.2015.0022

Cited by 29 publications

(12 citation statements)

References 34 publications

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“…With different cases, we can obtain different maximum time delay h by using Matlab toolbox as listed in Table 1, compared with some existing references. From Table 1, we can see that the results in [2] and [1] are close to our results. However, the maximum of h using Theorem 3.1 is nearly close to analytical bounds, which shows our approach is less conservative than the existing results.…”

Section: Numerical Examplesupporting

confidence: 83%

“…Various interesting methods have been introduced to obtain delay-dependent stability conditions for neutral delay systems, such as model transformation approach [8], delay partitioning technique [2], discretized Lyapunov functional method [11], free-weighting matrix approach [9,12], and integral inequality method [1]. With the help of these approaches, improved delay-dependent stability conditions have been presented gradually, such as [3,11,15] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

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Improved conditions for neutral delay systems with novel inequalities

Xiong¹,

Cheng²,

Liu³

et al. 2017

J. Nonlinear Sci. Appl.

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This paper studies the stability problem of a class of neutral delay systems. It firstly establishes two novel integral inequalities, which are better than the same type inequalities found in the literature. Then it derives, by using the new inequalities and the Lyapunov functional method, some sufficient delay-dependent conditions for asymptotic stability of the neutral delay systems. Three numerical examples are provided to illustrate the advantage and effectiveness of the obtained results.

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Section: Numerical Examplesupporting

confidence: 83%

Section: Introductionmentioning

confidence: 99%

Improved conditions for neutral delay systems with novel inequalities

Xiong¹,

Cheng²,

Liu³

et al. 2017

J. Nonlinear Sci. Appl.

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“…It is known to all that neutral systems can model all kinds of engineering systems; see, for example, heat exchangers, population ecology, repetitive control, distributed networks containing lossless transmission lines, and robots in contact with rigid environments . Therefore, much attention has been reported to investigating neutral systems in the past few years …”

Section: Introductionmentioning

confidence: 99%

Stochastic stability and extended dissipativity analysis for uncertain neutral systems with semi‐Markovian jumping parameters via novel free matrix–based integral inequality

Xiong

Cao

et al. 2019

Intl J Robust & Nonlinear

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Summary This paper investigates the issues of stochastic stability and extended dissipativity analysis for uncertain neutral systems with semi‐Markovian jumping parameters. A new criterion about the stochastic stability and extended dissipativity of uncertain neutral systems with semi‐Markovian jumping parameters is obtained based on the new Lyapunov‐Krasovskii functionals together with the introduced novel free matrix–based integral inequality. The major contribution of this study is that the stochastic stability and extended dissipativity concept for uncertain neutral systems with semi‐Markovian jumping parameters can be developed to simultaneously analyze the solutions of the L2 − L∞ performance, H∞ action, passivity behavior, and false(scriptQ,scriptS,scriptRfalse)−γ dissipativity by selecting different weighting matrices. Finally, several interesting numerical examples are provided to show the effectiveness and less conservatism of the proposed method.

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“…[5][6][7]11,14,[16][17][18][19][20][21][22][23][24][25][26][27][28][29]33], and the references therein). [5][6][7]11,14,[16][17][18][19][20][21][22][23][24][25][26][27][28][29]33], and the references therein).…”

Section: Introductionunclassified

“…In recent years, researchers have mainly studied two kinds of time-delay systems, namely, retarded and neutral (see e.g. [5][6][7]11,14,[16][17][18][19][20][21][22][23][24][25][26][27][28][29]33], and the references therein). The former type had been restricted to single delay.…”

Section: Introductionmentioning

confidence: 99%

New Augmented Lyapunov‐Krasovskii Functional for Stability Analysis of Systems with Additive Time‐Varying Delays

Ding¹,

He²,

Wu³

et al. 2017

Asian Journal of Control

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This paper is concerned with stability analysis for continuous-time systems with additive time-varying delays in the Lyapunov-Krasovskii(L-K) framework. Firstly, in view of the relationships between the upper bounds of the two time-varying delays, a new augmented L-K functional is constructed by using the information of the two upper bounds. Secondly, the free-matrix-based integral inequality is used to estimate the derivative of the constructed L-K functional. Thirdly, a less conservative criterion is derived to assess stability. Finally, a numerical example is presented to demonstrate the effectiveness of the criterion.

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Improved mixed‐delay‐dependent asymptotic stability criteria for neutral systems

Cited by 29 publications

References 34 publications

Improved conditions for neutral delay systems with novel inequalities

Improved conditions for neutral delay systems with novel inequalities

Stochastic stability and extended dissipativity analysis for uncertain neutral systems with semi‐Markovian jumping parameters via novel free matrix–based integral inequality

New Augmented Lyapunov‐Krasovskii Functional for Stability Analysis of Systems with Additive Time‐Varying Delays

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