General decentralized stabilization of large-scale linear continuous and discrete time-delay systems

Abstract

We consider the general stabilization problem of linear time-invariant, large-scale multivariable decentralized systems with delays. We have established sufficient stabilization conditions for a general class of decentralized systems. Namely, in the continuous case the requirement is that the matrix measure of the closed-loop subsystem matrices can be made sufficiently negative by appropriate local feedback control, whereas in the discrete case the requirement is that the norm of the closed-loop subsystem matrices can be made arbitrarily small by feedback control.