New delay-dependent robust stability criteria for uncertain neutral systems with mixed delays

Lu, Renquan; Wu, Haiyi; Bai, Jianjun

doi:10.1016/j.jfranklin.2013.11.001

Cited by 110 publications

(90 citation statements)

References 35 publications

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“…where V 1 (t), V 4 (t), V 5 (t), V 6 (t) and V 7 (t) are given in (21). From Theorem 1, we have the following corollary.…”

Section: By Using Lemma 3 Lmismentioning

confidence: 83%

“…Remark 2 Noted that the term V 6 (t) in L-K functional (21) was newly proposed in Theorem 1 compared with the L-K functional used in [7,9,44]. By introducing the H-dependent term V 6 (t), the constraint conditions of the matrices in the L-K functional have been relaxed.…”

Section: Corollarymentioning

confidence: 99%

“…In [12,28,36], H ∞ synchronization for delayed chaotic neural networks and mechanical systems with external disturbance have been presented, while H ∞ synchronization for Lur'e system has been studied in [10]. The problem of H ∞ filtering for time-delay systems has been investigated in [20,22,[30][31][32], whereas stability and stabilization of time-delay systems with disturbances have given in [13,16,19,21]. Recently, the problem of synchronization for identical chaotic Lur'e systems with external disturbance and uncertainties using sampled-data H ∞ controller has been discussed in [7].…”

mentioning

confidence: 99%

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Sampled-Data $$H_{\infty }$$ H ∞ Synchronization of Chaotic Lur’e Systems with Time Delay

Cao

Sivasamy

Rakkiyappan

2015

Circuits Syst Signal Process

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This paper deals with the problem of robust H ∞ synchronization of chaotic Lur'e systems with time-varying delays via sampled-data control. In order to make full use of the information about sampling intervals, nonlinear functions and time-varying delays, an improved Lyapunov-Krasovskii (L-K) functional is introduced. Based on reciprocal convex combination technique, sufficient conditions are derived in terms of linear matrix inequalities (LMIs) to ensure the asymptotic synchronization of the considered Lur'e system with a guaranteed H ∞ performance. By solving the obtained LMIs, the required sampled-data control gain matrix is obtained, which assures the asymptotic stability of the error system and reduces the effect of external disturbance according to H ∞ norm. Finally, the effectiveness and less conservatism of the proposed method are verified through numerical simulations of the Chua's circuit and neural networks.

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“…where V 1 (t), V 4 (t), V 5 (t), V 6 (t) and V 7 (t) are given in (21). From Theorem 1, we have the following corollary.…”

Section: By Using Lemma 3 Lmismentioning

confidence: 83%

Section: Corollarymentioning

confidence: 99%

mentioning

confidence: 99%

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Sampled-Data $$H_{\infty }$$ H ∞ Synchronization of Chaotic Lur’e Systems with Time Delay

Cao

Sivasamy

Rakkiyappan

2015

Circuits Syst Signal Process

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show abstract

“…Combining the parameterized model transformation method with a free-weighting matrices technique, Wu et al obtained some stability conditions and an approach for stabilizing neutral systems in [3]. For neutral type systems with mixed delays and time-varying structured uncertainties, some new delay-dependent robust stability criteria were presented in [4].…”

Section: Introductionmentioning

confidence: 99%

Absolute stability of general neutral Lurie indirect control systems with unbounded coefficients

2017

J. Nonlinear Funct. Anal.

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Abstract. The absolute stability problem of neutral Lurie indirect control systems with unbounded coefficients is investigated in this paper. By choosing a suitable Lyapunov-Krasovskii functional, several absolute stability criteria for neutral Lurie systems with single nonlinearity are obtained. Furthermore, the derived results are extended to multiple nonlinearities. The criteria proposed in this paper are particularly useful for neutral Lurie indirect control systems with unbounded coefficients. Our results are also applicable to such systems with bounded or constant coefficients. Numerical simulations demonstrate the effectiveness of the proposed approach.

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“…In the past two decades, a great deal of attention have been drawn to the delay-dependent stability problem of neutral dynamical systems (see, e.g., [1]- [31]). Various important methods have been introduced, such as model transformation approach [4], delay partitioning technique [11], discretized Lyapunov functional method [12], free-weighting matrix approach [5], and descriptor system approach [17].…”

Section: Introductionmentioning

confidence: 99%

Novel Stability Criterion for Neutral Systems with Mixed Time-Delay

Xiong¹,

Li²,

Wu³

et al. 2016

Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling

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Abstract-The aim of this paper is to improve stability condition for neutral systems with mixed time-delay. By introducing a novel integral inequality based on the optimization theory, and constructing the novel Lyapunov functionals, an improved delaydependent stability criterion is established. It is shown that the integral inequality obtained in this paper can be utilized to get less conservative delay-dependent stability condition for neutral systems. A numerical example is provided to demonstrate the theoretical result.

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New delay-dependent robust stability criteria for uncertain neutral systems with mixed delays

Cited by 110 publications

References 35 publications

Sampled-Data $$H_{\infty }$$ H ∞ Synchronization of Chaotic Lur’e Systems with Time Delay

Sampled-Data $$H_{\infty }$$ H ∞ Synchronization of Chaotic Lur’e Systems with Time Delay

Absolute stability of general neutral Lurie indirect control systems with unbounded coefficients

Novel Stability Criterion for Neutral Systems with Mixed Time-Delay

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