Stability Analysis of Large-Scale Time-Delay Systems Via Evolutionary Programming Algorithm

A sufficient condition for delay-independent asymptotic stability of large-scale time-delay systems is derived. An evolutionary programming approach is newly developed to decompose the system matrix such that our result can be further improved. For testing the system stability, we do not attempt to solve the Lyapunov or Riccati equation, but need only to check the eigenvalues of a Hamiltonian matrix to guarantee the solvability of an algebraic Riccati equation. The present method is simple and less conservative than those proposed in the literature.