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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  0, Vol. 7 Issue (101): 237-244    DOI: 10.1631/jzus.2006.AS0237
Computer & Information Science     
Stability analysis of neutral-type nonlinear delayed systems: An LMI approach
Liu Mei-Qin
School of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
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Abstract  The problems of determining the global asymptotic stability and global exponential stability for a class of norm-bounded nonlinear neutral differential systems with constant or time-varying delays are investigated in this work. Lyapunov method was used to derive some useful criteria of the systems’ global asymptotic stability and global exponential stability. The stability conditions are formulated as linear matrix inequalities (LMIs) which can be easily solved by various convex optimization algorithms. Moreover, for the exponentially stable system, the exponential convergence rates of the system’s states can be estimated by some parameters of the LMIs. Numerical examples are given to illustrate the application of the proposed method.

Key words： Convergence rate      Generalized eigenvalue problem      Linear matrix inequality (LMI)      Nonlinear neutral system      Stability      Time delay     
Received: 02 November 2005     
CLC:  O175.14  
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Liu Mei-Qin. Stability analysis of neutral-type nonlinear delayed systems: An LMI approach. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 0, 7(101): 237-244.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2006.AS0237     OR     http://www.zjujournals.com/xueshu/zjus-a/Y0/V7/I101/237

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[1] Mo Jia-qi. Quasilinear singularly perturbed problem with boundary perturbation[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2004, 5(9): 1144-1147.
[2] Liu Mei-Qin. Stability analysis of neutral-type nonlinear delayed systems: An LMI approach[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(Supplement2): 237-244.