EXPONENTIAL STABILITY OF SINGULARLY PERTURBED DISCRETE SYSTEMS WITH TIME-DELAY

Kyun-Sang Park; Jong-Tae Lim

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EXPONENTIAL STABILITY OF SINGULARLY PERTURBED DISCRETE SYSTEMS WITH TIME-DELAY

机译：时滞奇摄动离散系统的指数稳定性

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摘要

In this paper, the exponential stability of singularly perturbed discrete systems (SPDSs) with time-delay is investigated via the Lyapunov's direct method. In the previous results about the SPDS with time-delay, the asymptotic stability is obtained using the frequency-domain approach. However, we propose a composite Lyapunov function to show that the SPDS with time-delay is exponentially stable with the decay rate γ. In terms of the LMI, the sufficient condition for the exponential stability of the linear SPDS is presented. Moreover, based on the linear SPDS result, the exponential stability of the nonlinear SPDS with time-delay is also considered. Finally, numerical examples are given to validate the proposed results.

机译：本文通过Lyapunov直接法研究了具有时滞的奇摄动离散系统（SPDSs）的指数稳定性。在关于具有时滞的SPDS的先前结果中，使用频域方法获得了渐近稳定性。但是，我们提出了一个复合的Lyapunov函数，以证明具有时滞的SPDS在衰减率γ上是指数稳定的。根据LMI，提出了线性SPDS指数稳定性的充分条件。此外，基于线性SPDS结果，还考虑了具有时滞的非线性SPDS的指数稳定性。最后，通过数值算例验证了所提出的结果。

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来源
《International Journal of Innovative Computing Information and Control》 |2013年第2期|865-874|共10页
作者
Kyun-Sang Park; Jong-Tae Lim;
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作者单位

Department of Electrical Engineering Korea Advanced Institute of Science and Technology 373-1, Guseong-dong, Yuseong-gu, Daejeon 305-701, Korea;

Department of Electrical Engineering Korea Advanced Institute of Science and Technology 373-1, Guseong-dong, Yuseong-gu, Daejeon 305-701, Korea;

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正文语种 eng
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关键词
singularly perturbed system; discrete-time system; time-delay;

机译：奇摄动系统离散时间系统;延时;

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EXPONENTIAL STABILITY OF SINGULARLY PERTURBED DISCRETE SYSTEMS WITH TIME-DELAY

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