A delay-range-dependent uniformly asymptotic stability criterion for a class of nonlinear singular systems

Ding, Yucai; Zhong, Shouming; Chen, Wufan

doi:10.1016/j.nonrwa.2010.09.009

Cited by 34 publications

(31 citation statements)

References 20 publications

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“…By comparing the stability criterion of Theorem 1 with that of [16,25,26] for the preceding system, we have Table I. Hence, for this example, the stability criterion we derived is less conservative than that reported in the aforementioned papers.…”

Section: Numerical Examplesmentioning

confidence: 76%

Observer-basedH_∞control for uncertain singular time-delay systems with actuator saturation

Yan

2015

Optim. Control Appl. Meth.

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SUMMARYIn this paper, the observer-based H 1 control problem for uncertain singular time-delay systems with actuator saturation is concerned. First, a delay-dependent linear matrix inequality (LMI) condition is obtained which, guarantees that the uncertain singular time-delay systems with actuator saturation are regular, impulse free, and asymptotically stable with H 1 performance condition. Then, with this condition, the estimation of stability region and the design method of observer-based H 1 controller are given by solving LMIs and convex optimization problem. Finally, some numerical examples are provided to demonstrate the merit of the obtained results.

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Section: Numerical Examplesmentioning

confidence: 76%

Observer-basedH_∞control for uncertain singular time-delay systems with actuator saturation

Yan

2015

Optim. Control Appl. Meth.

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“…In Table 1, 'm' denotes the delay-partitioning number. From Table 1, it is clear that the stability criterion proposed in Corollary 2 yields much less conservative results than the results [10][11][12][13]19,38] in the existing literature.…”

Section: Example 1 Consider the T-s Fuzzy Nonlinear Singular Time-delmentioning

confidence: 93%

“…In corollary 2, the delay-dependent stability conditions are derived by choosing proper LKF, which yields less conservative results than the existing results obtained in [10][11][12][13]19,38]. Here, the tuning parameter α plays an important role in the reduction in conservatism.…”

Section: Remarkmentioning

confidence: 99%

“…In fact, singular systems can be found in many applications such as electrical circuits, economic systems, moving robots and many other systems, because they can better describe physical systems than state-space systems, for details (see [2,[10][11][12][13]19,[37][38][39]). It should be pointed out that the stability problem of singular systems is much more complicated than state-space systems, because it requires considering not only stability, but also it required regularity and impulse-free conditions (for continuous systems).…”

Section: Introductionmentioning

confidence: 99%

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Robust Stability Analysis of Takagi–Sugeno Fuzzy Nonlinear Singular Systems with Time-Varying Delays Using Delay Decomposition Approach

Manivannan

Muralisankar

2015

Circuits Syst Signal Process

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This paper investigates the problem of robust stability analysis for TakagiSugeno fuzzy nonlinear singular systems with time-varying delays. The nonlinear functions are assumed to satisfy the Lipschitz conditions. By constructing LyapunovKrasovskii functional with different weighted matrices, sufficient delay-dependent asymptotic stability conditions are expressed in terms of linear matrix inequalities. Further, delay decomposition approach is used to derive less conservative results. The effectiveness of the derived theoretical result is shown through numerical examples.

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“…Many fundamental system theories developed for regular state-space system have been successfully extended to their counterparts for singular system, for example, controllability and observability [26], the Lyapunov stability [27,28], robust stability and stabilization [29,30], singular time-delay systems [31][32][33], and optimal control [34].…”

Section: Introductionmentioning

confidence: 99%

Exponential stability of hybrid switched nonlinear singular systems with time-varying delay

Zamani

Shafiee

Ibeas

2013

Journal of the Franklin Institute

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A delay-range-dependent uniformly asymptotic stability criterion for a class of nonlinear singular systems

Cited by 34 publications

References 20 publications

Observer-basedH_∞control for uncertain singular time-delay systems with actuator saturation

Observer-basedH_∞control for uncertain singular time-delay systems with actuator saturation

Robust Stability Analysis of Takagi–Sugeno Fuzzy Nonlinear Singular Systems with Time-Varying Delays Using Delay Decomposition Approach

Exponential stability of hybrid switched nonlinear singular systems with time-varying delay

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A delay-range-dependent uniformly asymptotic stability criterion for a class of nonlinear singular systems

Cited by 34 publications

References 20 publications

Observer-basedH∞control for uncertain singular time-delay systems with actuator saturation

Observer-basedH∞control for uncertain singular time-delay systems with actuator saturation

Robust Stability Analysis of Takagi–Sugeno Fuzzy Nonlinear Singular Systems with Time-Varying Delays Using Delay Decomposition Approach

Exponential stability of hybrid switched nonlinear singular systems with time-varying delay

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Observer-basedH_∞control for uncertain singular time-delay systems with actuator saturation

Observer-basedH_∞control for uncertain singular time-delay systems with actuator saturation