Stability of Large Scale Systems with Interval Coefficients

Abstract

Stability determination for large scale dynamic systems with interval coefficients is studied in this paper. The main method are comparison principle and vector Lyapunov function. For delay system with interval coefficients, stability criteria independent of delays are given and model aggregation of high-order system is accomplished in stability analysis. By these criteria, one can determine stability of a large scale system from an aggregation model irrespective of whether each isolate subsystem is stable or not-Obtained low-order aggregation models for large scale and interval systems are with certain coefficients instead of interval ones. Applications to three examples show that proposed stability criteria are explicit and helpful.