Connective Stability Analysis for a Class of Large-Scale Systems Based on the Inclusion Principle

Abstract

AbstractBased on the inclusion principle, a judging method of connective stability is presented for a class of linear interconnected large-scale systems. First, the system is decomposed into a group of subsystems. Through stability analysis and judgment of each subsystem, a group of judgment matrices are obtained. After being permuted and corrected, these judgment matrices can be composed an extended judgment matrix. According to the constraints conditions of inclusion principle, it can be contracted into a judgment matrix. If the judgment matrix is diagonally dominant and an M-matrix, then the system is connective stable. Parameters of judgment matrices are derived from each subsystem, which are easy to be obtained. Finally, it takes an example to show that the method is of the validity.KeywordsInclusion principleConnective stabilityLinear interconnected large-scale systemsM-matrix