Delay-dependent Stability Criteria of Linear Discrete Systems with Multiple Time Delay
نویسندگان
چکیده
This paper offers necessary and sufficient condition for delay-dependent asymptotic stability of linear discrete systems with multiple time delay. The criterion is derived by Lyapunov’s direct method and two matrix equations have been obtained: discrete Lyapunov matrix equation for nondelay systems and polynomial matrix equation. Obtained stability condition does not possess conservatism but require some numerical computations. However, if the dominant solvent of the polynomial matrix equation can be computed by Traub’s or Bernoulli’s algorithm, then smaller number of computations are obtained compared with a traditional stability procedure based on eigenvalues of matrix of augmented system. Numerical computations are performed to illustrate the results obtained.
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