new delay-range-dependent robust exponential stability criteria of uncertain impulsive switched linear systems with mixed interval nondifferentiable time-varying delays and nonlinear perturbations
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ID: 180609
2015
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Abstract
We investigate the problem of robust exponential stability analysis for uncertain impulsive switched linear systems with time-varying delays and nonlinear perturbations. The time delays are continuous functions belonging to the given interval delays, which mean that the lower and upper bounds for the time-varying delays are available, but the delay functions are not necessary to be differentiable. The uncertainties under consideration are nonlinear time-varying parameter uncertainties and norm-bounded uncertainties, respectively. Based on the combination of mixed model transformation, Halanay inequality, utilization of zero equations, decomposition technique of coefficient matrices, and a common Lyapunov functional, new delay-range-dependent robust exponential stability criteria are established for the systems in terms of linear matrix inequalities (LMIs). A numerical example is presented to illustrate the effectiveness of the proposed method.
| Reference Key |
niamsup2015discretenew
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|---|---|
| Authors | ;Piyapong Niamsup;Narongsak Yotha;Kanit Mukdasai |
| Journal | Journal of the American Heart Association |
| Year | 2015 |
| DOI |
10.1155/2015/406420
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