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Robust Exponential Stability for LPD Discrete-Time System with Interval Time-Varying Delay (2012)

Kanit Mukdasai

Hindawi

In: Journal of Applied Mathematics

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Publication Date: 2012-08-29

Description: This paper investigates the problem of robust exponential stability for uncertain linear-parameter dependent (LPD) discrete-time system with delay. The delay is of an interval type, which means that both lower and upper bounds for the time-varying delay are available. The uncertainty under consideration is norm-bounded uncertainty. Based on combination of the linear matrix inequality (LMI) technique and the use of suitable Lyapunov-Krasovskii functional, new sufficient conditions for the robust exponential stability are obtained in terms of LMI. Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.

Print ISSN: 1110-757X

Electronic ISSN: 1687-0042

Topics: Mathematics

Published by Hindawi

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