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

Abstract

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.

State‐space Digital Pid Controller Design for Multivariable Analog Systems With Multiple Time Delays

“…Control of time-delay systems is an area of current research interest [1][2][3][4][5][6][7][8][9] due to the theoretical challenge, as well as the wide range of practical applications for such controllers. Delays are encountered in most real-world engineering systems, such as the turbojet engine, microwave oscillator, transmission lines, and chemical industrial processes.…”