Robust Exponential Stabilization Results for Impulsive Neutral Time-Delay Systems with Sector-Bounded Nonlinearity

Balasubramaniam, P.; Krishnasamy, R.

doi:10.1007/s00034-014-9771-z

Cited by 14 publications

(6 citation statements)

References 34 publications

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“…Yang and Wang obtained delay‐dependent conditions for the stability analysis and H ∞ control for a class of nonlinear time delay system with control inputs and disturbances. Balasubramaniam and Krishnasamy obtained a new set of sufficient delay‐dependent conditions in terms of linear matrix inequalities (LMIs) by constructing suitable Lyapunov–Krasovskii functional for the robust exponential stabilization of nonlinear neutral systems with time‐varying delays under impulsive control.…”

Section: Introductionmentioning

confidence: 99%

Dissipative sampled‐data control of uncertain nonlinear systems with time‐varying delays

et al. 2015

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This article investigates the delay‐dependent robust dissipative sampled‐data control problem for a class of uncertain nonlinear systems with both differentiable and non‐differentiable time‐varying delays. The main purpose of this article is to design a retarded robust control law such that the resulting closed‐loop system is strictly (Q, S, R)‐dissipative. By introducing a suitable Lyapunov–Krasovskii functional and using free weighting matrix approach, some sufficient conditions for the solvability of the addressed problem are derived in terms of linear matrix inequalities. From the obtained dissipative result, we deduce four cases namely, H∞ performance, passivity performance, mixed H∞, and passivity performance and sector bounded performance of the considered system. From the obtained result, it is concluded that based on the passivity performance it is possible to obtain the controller with less control effort, and also the minimum H∞ performance and the maximum allowable delay for achieving stabilization conditions can be obtained via the mixed H∞ and passivity control law. Finally, simulation studies based on aircraft control system are performed to verify the effectiveness of the proposed strategy. © 2015 Wiley Periodicals, Inc. Complexity 21: 142–154, 2016

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Section: Introductionmentioning

confidence: 99%

Dissipative sampled‐data control of uncertain nonlinear systems with time‐varying delays

et al. 2015

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“…From system (51), we derive the following corollary. Corollary 1 For given positive scalars

δ_{0}, σ_{1}, σ_{2}, μ_{1} < 1, μ_{2} < 1, η

, system (51) is globally exponentially stable in the mean‐square sense, if there exist positive definite matrices

X, {\overset{false\leftrightarrow}{Q}}_{j} false(j = 1, 2, \dots, 6 false),

{\overset{false\leftrightarrow}{Z}}_{m} false(m = 1, 2, 3 false)

{\overset{false\leftrightarrow}{R}}_{s} false(s = 1, 2, 3, 4 false)

, for any matrices

{\overset{false\leftrightarrow}{S}}_{p} false(p = 1, 2, \dots, 10 false), Y

and

{\hat{Π}}_{1}, {\hat{Π}}_{2}, {\hat{Π}}_{3}

with appropriate dimensions such that the conditions (44), (45), (47)–(50) in Theorem 2 is held. Remark 5 It should be pointed out that in the previous literature authors in [4, 7, 12, 34] investigated the problems of impulsive systems with various stability criteria. The stability analysis of different dynamical systems is addressed in [21, 22, 25, 35] through sampled‐data control.…”

Section: Resultsmentioning

confidence: 99%

“…Time delays can cause instability, bifurcation and chaotic attractors. Therefore, the stability of the impulsive system with time delays has received considerable attention [4, 5, 12]. The problem of robust exponential stabilisation is addressed in [12], for non‐linear neutral systems with time‐varying delays under impulsive control and the non‐linear function is assumed to satisfy the sector‐bounded condition which includes Lipschitz condition as a special case.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, the stability of the impulsive system with time delays has received considerable attention [4, 5, 12]. The problem of robust exponential stabilisation is addressed in [12], for non‐linear neutral systems with time‐varying delays under impulsive control and the non‐linear function is assumed to satisfy the sector‐bounded condition which includes Lipschitz condition as a special case. Recently, by utilising the Lyapunov function, Dynkin formula and Razumikhin technique, the exponential stability is analysed for the impulsive stochastic differential systems with time delays and Markovian jumping parameters [4].…”

Section: Introductionmentioning

confidence: 99%

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Exponential stability of impulsive systems with random delays under sampled‐data control

Subramanian

Muthukumar

Zhu

2017

IET Control Theory & Applications

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“…First, the time‐varying delay of a switched system is assumed to vary in an interval which the lower bound is not restricted to zero. Although the authors of [30] have also considered the time‐varying delay systems with a non‐zero lower bound, this paper is different from that of [30] where the finite‐time stabilisation of switched systems are investigated in this paper. The range of time‐varying delay was considered from zero to an upper bound in the previous results [23–28].…”

Section: Introductionmentioning

confidence: 99%

LMI‐based criteria for robust finite‐time stabilisation of switched systems with interval time‐varying delay

Moradi

Jahed‐Motlagh

Yazdi

2017

IET Control Theory & Applications

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Robust Exponential Stabilization Results for Impulsive Neutral Time-Delay Systems with Sector-Bounded Nonlinearity

Cited by 14 publications

References 34 publications

Dissipative sampled‐data control of uncertain nonlinear systems with time‐varying delays

Dissipative sampled‐data control of uncertain nonlinear systems with time‐varying delays

Exponential stability of impulsive systems with random delays under sampled‐data control

LMI‐based criteria for robust finite‐time stabilisation of switched systems with interval time‐varying delay

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