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On delay-dependent stability for linear neutral systems. (English) Zbl 1011.93062
Summary: This paper focuses on the problem of uniform asymptotic stability of a class of linear neutral systems. Sufficient conditions for delay-dependent stability are given in terms of the existence of solutions of some linear matrix inequalities. Furthermore, the proposed technique extends to neutral systems the results obtained for delay-difference equations using model transformations. Illustrative examples are included.
MSC:
93C23Systems governed by functional-differential equations
34K40Neutral functional-differential equations
15A39Linear inequalities of matrices
93D20Asymptotic stability of control systems