ON THE ROBUSTNESS OF STABILITY FOR UNCERTAIN LARGE-SCALE SYSTEMS SUBJECTED TO MULTIPLE TIME DELAYS

The robustness problem of stability for large-scale uncertain systems with a class of multiple time delays is addressed in this paper. By ap plying the complex Lyapunov stability theorem, the matrix measure tech niques, and norm inequalities, a new approach for solving a general ca se of the above problem is proposed. Several robust stability conditio ns, delay-dependent or delay-independent, are derived to guarantee the asymptotic stability and exponential stability of the uncertain large -scale time-delay systems. Moreover, these obtained results can also b e applied to the stabilization design.