Separation in Stability Analysis of Piecewise Linear Systems in Discrete Time

摘要

Stability analysis of piecewise linear systems, without affine terms, consists of the problem of finding maximal stabilizing sets of switching paths among possible system coefficients and that of obtaining a sequence of state-space partitions in the order of increasing refinement. Exploiting the fact that these two problems can be solved separately, one can find subsets of the state space such that the piecewise linear system restricted to these sets is uniformly exponentially stable.