Stability Of Dynamical Systems: A Constructive Approach

Abstract

A set A of n × n complex matrices is stable if for every neighborhood of the origin U ⊂ Cn there exists another neighborhood of the origin V, such that for each M ∊ A' (the set of finite products of matrices in A), MV ⊆ U. Matrix and Liapunov stability are related. © 1979 IEEE