STABILIZATION, ESTIMATION AND ROBUSTNESS FOR DISCRETE LARGE-SCALE SYSTEMS WITH DELAYS

In this paper, we consider the problems of stabilization, estimation a nd robustness for a discrete large-scale system, which is composed of several low order time-delay perturbed subsystems. First, by using the Lyapunov stability theorem, we propose two sufficient conditions for each nominal subsystem, under which the state estimator and the stabil izing controller of the nominal system can be designed. Secondly, the nonlinear perturbation of each subsystem is considered, and two condit ions similar to the above for the estimator and the stabilizing contro ller design are set up again; moreover, the tolerable perturbation bou nd is also derived. This paper has three main features: (i) we need no t solve any Lyapunov equation or Riccati equation for the main results , (ii) the results are also applicable to the system without time-dela y and/or with linear perturbations and (iii) the so called ''matching condition'' for the interconnection matrices is not needed.