JNCA: H_{\infty} cheap control for a class of linear systems with state delays



	Volume 10, Number 2, August 2009, pp. 235-259
Valery Y. Glizer
Key words:
Time delay system, infinite horizon H _∞ control, cheap control, singular perturbation
Mathematices Subject Classification: 34K35, 93C23, 93C41, 93C70


	Abstract:
	An infinite horizon H _∞cheap control problem with a given performance level for a linear system with point-wise and distributed state delays is considered. By a proper transformation of the control variable, this problem is converted to an H _∞ control problem for a singularly perturbed system with state delays. For the latter problem, considered in the sequel as an original one, two methods of asymptotic analysis and solution are proposed.

H _∞cheap control for a class of linear systems with state delays