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.
Stability Analysis of Large-Scale Time-Delay Systems Via Evolutionary Programming Algorithm
Contributed by the Dynamic Systems and Control Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS. Manuscript received by the Dynamics Systems and Control Division October 31, 1999. Associate Editor: P. Voulgaris.
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Yan , J., Tsai and , J. S., and Sheen , I. E. (October 31, 1999). "Stability Analysis of Large-Scale Time-Delay Systems Via Evolutionary Programming Algorithm ." ASME. J. Dyn. Sys., Meas., Control. June 2001; 123(2): 293–296. https://doi.org/10.1115/1.1367267
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