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A new approach for the robust stability of perturbed systems with a class of noncommensurate time delays

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3 Author(s)
Chien-Hua Lee ; Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan ; Li, T.S. ; Fan-Chu Kung,

In this paper, based on the Lyapunov stability theorem, matrix measure, and norm inequalities, a new approach for the robust stability of perturbed systems with a class of noncommensurate time delays is presented. Two classes of linear parametric perturbations are treated: (1) unstructured; and (2) highly structured perturbations. Several concise sufficient conditions, delay-dependent or delay-independent, are proposed to guarantee the asymptotic stability and positive stability degree of the perturbed multiple time-delay systems. Finally, two numerical examples are given to demonstrate the applications of these quantitative results

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:40 ,  Issue: 9 )