On the robust stability of neutral systems with time-varying delays
| Authors: | Peres Pedro L. D., University of Campinas, Brazil
Leite Valter J. S., UnED-Divinópolis - CEFET-MG, Brazil
Castelan Eugenio B., DAS-CTC-UFSC, Brazil
Tarbouriech Sophie, LAAS-CNRS, Toulouse, France |
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| Topic: | 2.2 Linear Control Systems |
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| Session: | Time-Delay Systems I |
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| Keywords: | Time-delay systems, neutral systems, robust stability, parameter-dependent quadratic functions, linear matrix inequalities |
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Abstract
Linear matrix inequality conditions are given for the robust stability of neutral systems with time-varying delays in the state vector. All the system matrices are supposed to be time-invariant, belonging to a known polytope. The robust stability is assured by means of a parameter-dependent Lyapunov-Krasovskii functional, independently of the size of the time-varying delays. A numerical example illustrates the results.
