Finite-time stability for discrete-time singular systems with time-delay and nonlinear perturbations

机译：具有时滞和非线性摄动的离散时间奇异系统的有限时间稳定性

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This paper is concerned with the problem of finite-time stability of a class of discrete-time singular system with time-delay and nonlinear perturbations. By using discrete Lyapunov function approach, new stability criterion is derived in terms of strict linear matrix inequality to guarantee the system to be regular, causal and finite-time stable. A numerical example is provided to illustrate the effectiveness of the proposed method.

机译：本文涉及一类具有时滞和非线性摄动的离散时间奇异系统的有限时间稳定性问题。通过使用离散李雅普诺夫函数方法，根据严格的线性矩阵不等式推导了新的稳定性判据，以保证系统是规则的，因果的和有限的时间稳定的。数值例子说明了所提方法的有效性。

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《International Conference on Systems and Control》|2015年|19-24|共6页
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Stojanovic Sreten B.; Debeljkovic Dragutin L. J.; Buzurovic Ivan M.;
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3. Finite-time stability for discrete-time system with time-varying delay and nonlinear perturbations [J] . Kang Wei, Zhong Shouming, Shi Kaibo, ISA Transactions . 2016,第Null期

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4. Finite-time stability for discrete-time singular systems with time-delay and nonlinear perturbations [C] . Stojanovic Sreten B., Debeljkovic Dragutin L. J., Buzurovic Ivan M. International Conference on Systems and Control . 2015

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5. SENSITIVITY ANALYSIS, IDENTIFICATION, AND MODEL REDUCTION TECHNIQUES FOR SPECIAL CLASSES OF COMPLEX SYSTEMS (SINGULAR PERTURBATION, DISCRETE-TIME, LINEARIZATION, TWO-TIME-SCALE SYSTEM) [D] . FU, SHEAU-WEI JOHNNY 1985

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6. Stability criteria on delay-dependent robust stability for uncertain neutral stochastic nonlinear systems with time-delay [O] . Tengyu Ma, Longsuo Li -1

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8. Finite-Time Stability of Linear Discrete-Time Systems [R] . Weiss, L., Lee, J. S. 1971

机译：线性离散时间系统的有限时间稳定性

Finite-time stability for discrete-time singular systems with time-delay and nonlinear perturbations

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