Abstract
An upper estimate and an iterative “restriction” algorithm for the reachability set for determining the optimal control for a class of multistep control processes are designed.
Similar content being viewed by others
REFERENCES
Chernous'ko, F.L., Otsenivanie fazovogo sostoyaniya sistem. Metod ellipsoidov (Phase State of Systems: An Ellipsoidal Estimation Method), Moscow: Nauka, 1988.
Khrustalev, M.M., Exact Description of Reachability Sets and Conditions for the Global Optimality of a Dynamic System, Avtom. Telemekh., 1988, no. 5, pp. 62–70.
Gurman, V.I., Printsip rasshireniya v zadachakh upravleniya (Extension Principle in Control Problems), Moscow: Nauka, 1985.
Konstantinov, G.N., Normirovanie vozdeistvii na dinamicheskie sistemy (Normalization of Actions on Dynamic Systems), Irkutsk: Irkut. Gos. Univ., 1983.
Mikhalevich, I.S. and Volkovich, V.L., Vychislitel'nye metody issledovaniya i proektirovaniya slozhnykh sistem (Computer-Aided Research Methods and Design of Complicated Systems), Moscow: Nauka, 1982.
Krotov, V.F. and Gurman, V.I., Metody i zadachi optimal'nogo upravleniya (Optimal Control Methods and Problems), Moscow: Nauka, 1973.
Averbakh, I.L. and Tsurkov, V.L., Optimizatsiya v blochnykh zadachakh s tselochislennymi peremennymi (Optimization in Block Problems with Integral-Valued Variables), Moscow: Nauka, 1995.
Gendler, M.V. and Zaretskii, L.S., An Exact Algorithm for Solving Multivariate Resource Allocation Problem, Avtom. Telemekh., 1992, no. 6, pp. 138–145.
Sergeev, S.I., Computational Algorithms for the Travelling Salesman Problem. I, II, Avtom. Telemekh., 1994, no. 5, pp. 66–79; no. 6, pp. 106–114.
Balas, E. and Christofides, N., A Restricted Lagrangean Approach to the Travelling Salesman Problem, Math. Program., 1981, vol. 21, no. 1, pp. 19–46.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sergeev, S.I. Reachability Sets of a Class of Multistep Control Processes: Their Design. Automation and Remote Control 63, 919–925 (2002). https://doi.org/10.1023/A:1016117706044
Issue Date:
DOI: https://doi.org/10.1023/A:1016117706044