Constructing the reachability set for a control problem with phase constraints

Computational Mathematics and Modeling - Tập 18 - Trang 453-455 - 2007
O. N. Bobyleva

Tóm tắt

A method is proposed for describing the reachability set in a phase-constrained control problem. Sufficient conditions are obtained when the reachability set in a phase-constrained control problem is the intersection of two sets: the reachability set for the corresponding problem without phase constraints and the set of phase constraints.

Tài liệu tham khảo

L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, Mathematical Theory of Optimal Processes [in Russian], Fizmatgiz, Moscow (1961). V. G. Boltyanskii, Mathematical Methods of Optimal Control [in Russian], Nauka, Moscow (1966). A. V. Arutyunov, Extremum Conditions. Abnormal and Degenerate Problems [in Russian], Faktorial, Moscow (1997). A. D. Ioffe and V. M. Tikhomirov, Theory of Extremum Problems [in Russian], Nauka, Moscow (1974). E. B. Lee and L. Markus, Foundations of Optimal Control Theory [Russian translation], Nauka, Moscow (1972). V. M. Alekseev, V. M. Tikhomirov, and S. V. Fomin, Optimal Control [in Russian], Nauka, Moscow (1979). L. C. Young, Lectures on Calculus of Variations and Optimal Control Theory [Russian translation], Mir, Moscow (1974). O. N. Bobyleva, “Reachability sets of controlled systems in problems with phase constraints,” Different. Uravnen., 38,No. 11, 1563–1564 (2002).