Journal of Mathematics Research
A Delay-dependent Condition for the Exponential Stability of Switched Linear Systems with Time-varying Delay
Abstract
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.
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.
This work is licensed under a Creative Commons Attribution 3.0 License.
Journal of Mathematics Research ISSN 1916-9795 (Print) ISSN 1916-9809 (Online)
Copyright © Canadian Center of Science and Education
To make sure that you can receive messages from us, please add the 'ccsenet.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.