A Delay-dependent Condition for the Exponential Stability of Switched Linear Systems with Time-varying Delay

Kreangkri Ratchagit


We use a Lyapunov-Krasovskii functional approach to establish the exponential stability of linear systems with timevarying
delay. Our delay-dependent condition allows to compute simultaneously the two bounds that characterize the
exponential stability rate of the solution. A simple procedure for constructing switching rule is also presented.

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DOI: https://doi.org/10.5539/jmr.v2n3p120

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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