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A delay-range-dependent uniformly asymptotic stability criterion for a class of nonlinear singular systems. (English) Zbl 1218.93078
Summary: This paper investigates a class of nonlinear singular systems. Based on the Lyapunov functional method and the free-weighting matrix method, a uniformly asymptotic stability criterion in terms of only one simple Linear Matrix Inequality (LMI) is provided, which guarantees stability for such time-varying delay systems. This LMI can be easily solved by convex optimization techniques. Two examples are given to illustrate the effectiveness of the proposed main results. All these results are expected to be useful in the study of nonlinear singular systems.
##### MSC:
 93D20 Asymptotic stability of control systems 93C10 Nonlinear control systems 93C15 Control systems governed by ODE 34B16 Singular nonlinear boundary value problems for ODE
##### References:
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