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J. Warga (1972)
Optimal control of differential and functional equations
E. Gilbert (1976)
Optimal periodic control: A general theory of necessary conditions1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes
J. Massera, J. Schaffer (1966)
Linear differential equations and function spaces
F. Clarke (1983)
Optimization And Nonsmooth Analysis
Differential Equations, Vol. 41, No. 3, 2005, pp. 325–339. Translated from Differentsial'nye Uravneniya, Vol. 41, No. 3, 2005, pp. 312–324. Original Russian Text Copyright c 2005 by Ivanov. ORDINARY DIFFERENTIAL EQUATIONS Optimal Control of Almost Periodic Motions Under Constraints: I A. G. Ivanov Institute of Mathematics and Computer Science at Udmurt State University, Izhevsk, Russia Received December 2, 2002 In a number of optimal control problems (e.g., see [1, 2] and the bibliography therein), admis- sible controls w(), that is, measurable functions essentially bounded on a given time interval are represented in the form w()= (v();u()) in order to take account of geometric constraints on the control and mixed constrains (which are important in applications) simultaneously. As was mentioned, e.g., in [3, 4], in optimal control problems, it is of interest from the practical viewpoint to consider controls of the form (q;u()), where q belongs to a given set Q R and u : R ! U, U 2 comp (R ), is a measurable !-periodic function. In the present paper, we continue the research initiated in [5{7]. We give necessary extremum conditions for an almost periodic optimal control problem under constraints on the means, with admissible controls
Differential Equations – Springer Journals
Published: May 26, 2005
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