IJPAM: Volume 58, No. 3 (2010)
EXPONENTIAL STABILITY OF
SWITCHED LINEAR SYSTEMS
SWITCHED LINEAR SYSTEMS
K. Ratchagit
Department of Mathematics
Faculty of Science
Maejo University
Chiang Mai, 50290, THAILAND
e-mail: kreangkri@mju.ac.th
Department of Mathematics
Faculty of Science
Maejo University
Chiang Mai, 50290, THAILAND
e-mail: kreangkri@mju.ac.th
Abstract.We use a Lyapunov-Krasovskii functional approach to establish the
exponential stability of linear systems with time-varying 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.
Received: December 25, 2009
AMS Subject Classification: 34K20, 93C10, 34D10
Key Words and Phrases: switched system, time delay, exponential stability, Lyapunov equation
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 58
Issue: 3