Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 159, pp. 1-10.

Title: Exponential stability of  switched linear systems with
       time-varying delay

Authors: Vu N.  Phat  (Institute of Math., Hanoi, Vietnam)
         Satiracoo Pairote (Mahidol Univ., Thailand)

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.
 
Submitted September 5, 2007. Published November 21, 2007.
Math Subject Classifications: 34K20, 93C10, 34D10.
Key Words: Switched  system; time delay; exponential stability;
           Lyapunov equation.