Criteria for asymptotic stability of a class of neutral systems via a LMI approach

Chen, J.D.; Lien, Chang‐Hua; Fan, Kuo-Kuang; Chou, Jyh–Horng

doi:10.1049/ip-cta:20010772

Cited by 79 publications

(58 citation statements)

References 14 publications

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“…Then, the matrix H of the RFDF can be found by computing product of the involved crossing terms (see for instance [6], [14] and [20]). It can be easily seen that results of this paper is quite different from existing results in [1] and [5] in the following perspectives: a) the structures in [1] and [5] consider, respectively, a retarded time-delay systems (with a constant discrete delay) and a delay-free linear parameter-varying system and in compare to our case do not center on mixed time-delays, i.e., the results in [1] and [5] can not be directly applied to the systems with different neutral and discrete delays and nonlinear perturbations.…”

Section: T T H T T T T H T T T H T T H T T T T T D T T T T T T T T T mentioning

confidence: 99%

A linear matrix inequality approach to robust fault detection filter design of linear systems with mixed time-varying delays and nonlinear perturbations

Karimi

Zapateiro

Luo

2010

Journal of the Franklin Institute

123

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Abstract:In this paper, the problem of robust fault detection filter (RFDF) design for a class of linear systems with some nonlinear perturbations and mixed neutral and discrete time-varying delays is investigated. By using a descriptor technique, Lyapunov-Krasovskii functional and a suitable change of variables, new required sufficient conditions are established in terms of delay-dependent linear matrix inequalities (LMIs) to synthesize the residual generation scheme. Based on Luenberger type observers, the explicit expression of the filters is derived for the fault such that both asymptotic stability and a prescribed level of disturbance attenuation are satisfied for all admissible nonlinear perturbations. A numerical example is provided to demonstrate the effectiveness and the applicability of the proposed method.

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Section: T T H T T T T H T T T H T T H T T T T T D T T T T T T T T T mentioning

confidence: 99%

A linear matrix inequality approach to robust fault detection filter design of linear systems with mixed time-varying delays and nonlinear perturbations

Karimi

Zapateiro

Luo

2010

Journal of the Franklin Institute

123

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“…This neutral system was considered in References [10,11,12,16,20,21]. The results on the maximum allowed % h h are compared in Table I (figures are as reported in corresponding papers).…”

Section: Examplementioning

confidence: 99%

“…Consider the following uncertain neutral system: [10] 0.5658 Fridman [11] 0.74 Lien and Chen [12] 0.8844 Park [13] 1.3955 Han [20] 1.5758 He et al [16] 1.6527 Fridman and Shaked [5] 1.7191 Theorem 1 1.7220 where A; A 1 and C are given in (29) and the uncertain matrices DAðtÞ and DA 1 ðtÞ satisfy…”

Section: Examplementioning

confidence: 99%

“…Practical examples of neutral delay-differential systems can be found in the distributed networks containing lossless transmission lines [8], population ecology [9], processes including steam or water pipes, heat exchanges [2], and other areas [1,3,4]. Both delaydependent and delay-independent stability results for neutral systems have been proposed via various approaches [10][11][12][13][14]. When parameter uncertainties appear in neutral systems, the problem of robust stability analysis have been studied [5,15,16,17].…”

Section: Introductionmentioning

confidence: 99%

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Further results on delay-dependent robust stability conditions of uncertain neutral systems

Lam

Zou

2005

Int. J. Robust Nonlinear Control

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SUMMARYThis paper deals with the problem of robust stability analysis for uncertain neutral systems. In terms of a linear matrix inequality (LMI), an improved delay-dependent asymptotic stability criterion is developed without using bounding techniques on the related cross product terms. Based on this, a new delaydependent LMI condition for robust stability is obtained. Numerical examples are provided to show that the proposed results significantly improve the allowed upper bounds of the delay size over some existing ones in the literature.

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“…Due to its profound and practical background, much attention has been focused on the problems of stability analysis for neutral time-delay system from mathematics and control communities [1][2][3][4][5][6][7]. Using Lyapunov method, Park [1] presented new sufficient conditions for the stability of the systems in terms of linear matrix inequality (LMI) which can be easily solved by various convex optimization algorithms.…”

Section: Introductionmentioning

confidence: 99%

Stability of neutral-type descriptor systems with multiple time-varying delays

Zhao

2012

Adv Differ Equ

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This article deals with the problem of stability of descriptor neutral systems with multiple delays. Using Lyapunov functional and free-weighting matrix method, a delay-dependent stability criterion is obtained and formulated in the form of linear matrix inequalities, which can easily be checked by utilizing Matlab linear matrix inequality toolbox. Finally, a numerical example is presented to illustrate the effectiveness of the method.

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Criteria for asymptotic stability of a class of neutral systems via a LMI approach

Cited by 79 publications

References 14 publications

A linear matrix inequality approach to robust fault detection filter design of linear systems with mixed time-varying delays and nonlinear perturbations

A linear matrix inequality approach to robust fault detection filter design of linear systems with mixed time-varying delays and nonlinear perturbations

Further results on delay-dependent robust stability conditions of uncertain neutral systems

Stability of neutral-type descriptor systems with multiple time-varying delays

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