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Asymptotic stability of linear state-delayed neutral systems with polytope type uncertainties. (English) Zbl 1205.34093
Summary: A class of linear state-delayed neutral systems with polytope type uncertainties is studied. Using an improved Lyapunov Krasovskii parameter-dependent functional and linear matrix inequality (LMI) technology, new delay-dependent sufficient conditions for the asymptotic stability of the system are first established in terms of Mondie-Kharitonov type LMI conditions.

MSC:
34K20 Stability theory of functional-differential equations
34K06 Linear functional-differential equations
34K40 Neutral functional-differential equations
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