JNCA: Infinite horizon cheap control problem for a class of systems with state delays



	Volume 10, Number 2, August 2009, pp. 199-223
Valery Y. Glizer
Key words:
Time delay system, infinite horizon optimal control, cheap control, singular perturbation
Mathematices Subject Classification: 34K35, 93C23, 93C70

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	Abstract:
	An infinite horizon quadratic cheap control of a linear system with point-wise and distributed time delays in the state variable is considered. This optimalcontrol problem is transformed to an optimal control problem of a singularly perturbed system with state delays. The resulting problem is considered in the sequel as an original one. Two methods of suboptimal solution of this problem are proposed.

Infinite horizon cheap control problem for a class of systems with state delays