نتایج جستجو برای: lyapunov stability criteria

تعداد نتایج: 560271  

Journal: :IEEE Trans. Automat. Contr. 2003
Romeu Reginatto Alexandre S. Bazanella

The influence of the rotor time constant mismatch on the global stability of induction motors under indirect field oriented control (IFOC) is analyzed. A test for global stability is provided, based on necessary and sufficient conditions for the existence of quadratic Lyapunov functions for IFOC drives. This test yields robustness margins with respect to rotor time constant mismatches. A typica...

2012
Lianglin Xiong Xiuyong Ding Shouming Zhong

In this paper, the problem of asymptotical stability of neutral systems with nonlinear perturbations is investigated. Based on a class of novel augment Lyapunov functionals which contain freeweighting matrices, some new delay-dependent asymptotical stability criteria are formulated in terms of linear matrix inequalities (LMIs) by using new inequality analysis technique. Numerical examples are g...

2009
ZHANG Yan HE Yong WU Min

This paper is concerned with the stability analysis for uncertain stochastic systems with interval time-varying delay. Improved delay-dependent robust stability criteria of uncertain stochastic systems with interval time-varying delay are proposed without ignoring any terms by considering the relationship among the time-varying delay, its upper bound, and their difference, and using both Itô′s ...

Journal: :J. Applied Mathematics 2012
Weihua Mao Feiqi Deng Anhua Wan

This paper discusses the mean-square exponential stability of uncertain neutral linear stochastic systems with interval time-varying delays. A new augmented Lyapunov-Krasovskii functional LKF has been constructed to derive improved delay-dependent robust mean-square exponential stability criteria, which are forms of linear matrix inequalities LMIs . By free-weight matrices method, the usual res...

2008
Zhenwei Liu Huaguang Zhang Derong Liu

The global exponential stability of the neural networks is investigated for a new fuzzy cellular neural networks with time-varying delays. A novel delay-dependent stability criterion is derived based on Lyapunov stability theory and the linear matrix inequality. By transforming the fuzzy logic terms with time-delay, our criteria are less conservative than existing results. Two examples are prov...

2012
Changchun Shen Shouming Zhong

Abstract—This paper investigates the robust stability of uncertain neutral system with time-varying delay. By using Lyapunov method and linear matrix inequality technology, new delay-dependent stability criteria are obtained and formulated in terms of linear matrix inequalities (LMIs), which can be easy to check the robust stability of the considered systems. Numerical examples are given to ind...

2012
O. M. Kwon

This study is concerned with the stability problem for uncertain discrete-time systems with interval time-varying delays. By construction of an augmented Lyapunov–Krasovskii’s functional and utilisation of new zero equalities, improved delay-dependent criteria for the stability of the systems are derived for guaranteeing the asymptotic stability of the concerned systems. The effectiveness and t...

2002
Ju H. Park

In this paper, asymptotic stability for neutral delay–differential systems with mixed multiple time-varying delay arguments is investigated. Based on the Lyapunov method, two new stability criteria in terms of linear matrix inequalities (LMIs) are presented to guarantee the stability for the systems. The LMIs can be easily solved by various convex optimization algorithms. Three numerical exampl...

2010
Lixian Zhang Bin Jiang

In this paper, the problems of stability for continuous and discrete-time polytopic uncertain switched linear systems with average dwell time switching are investigated. Firstly, the exponential stability result of general continuous-time switched systems using a discontinuous piecewise Lyapunov function approach is revisited, and the discretetime counterpart is then presented by the following ...

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