×

Robust bibo stabilization of linear large-scale systems with nonlinear delay perturbations. (English) Zbl 0876.93079

The problem of robust bounded-input bounded-output stabilization for a linear large-scale system made of several subsystems with nonlinear and statedelay perturbations is considered. Applying a stabilizing local state feedback to each subsystem, sufficient conditions for the robust bounded-input bounded-output stabilization of the system are presented by proposing a new Lyapunov-type theorem and combining with the matrix Riccati equation. The conditions obtained are given by means of positive definite matrices or a set of scalar inequalities. An example is given to demonstrate the validity of the obtained results.

MSC:

93D15 Stabilization of systems by feedback
93A15 Large-scale systems
93D21 Adaptive or robust stabilization