The successive parameterization method of control actions in boundary value optimal control problems for distributed parameter systems

Journal of Computer and Systems Sciences International - Tập 48 Số 3 - Trang 351-362 - 2009
Yu. E. Pleshivtseva1, É. Ya. Rapoport1
1Samara State Technical University , Samara , Russia ,

Tóm tắt

Từ khóa


Tài liệu tham khảo

N. N. Moiseev, Elements of the Theory of Optimal Systems (Nauka, Moscow, 1975) [in Russian].

R. P. Fedorenko, Approximate Solution of Optimal Control Problems (Nauka, Moscow, 1978) [in Russian].

F. P. Vasil’ev, Optimization Methods (Faktorial Press, Moscow, 2002) [in Russian].

A. G. Butkovskii, The Theory of Optimal Control of Systems with Distributed Parameters (Nauka, Moscow, 1965) [in Russian].

A. G. Butkovskii, Control Methods for Systems with Distributed Parameters (Nauka, Moscow, 1975) [in Russian].

E. Ya. Rapoport, Optimization of Processes of Induction Heating of Metals (Metallurgiya, Moscow, 1993) [in Russian].

E. Ya. Rapoport, Analysis and Synthesis of Control Systems with Distributed Parameters (Vysshaya Shkola, Moscow, 2005) [in Russian].

E. Ya. Rapoport, “Alternance Properties of Optimal Solutions and Computational Algorithms in Problems of Semi-infinite Optimization of Controlled Systems,” Izv. Ross. Akad. Nauk, Teor. Sist. Upr., No. 4, 84–95 (1996) [Comp. Syst. Sci. 35 (4), 581–591 (1996)].

E. Ya. Rapoport, Altrnance Method in Applied Optimization Problems (Nauka, Moscow, 2000) [in Russian].

E. Ya. Rapoport, “Altrnance Method in Problems of Semi-Infinite Optimization,” in Nonlinear Control Theory and Its Applications: Dynamics, Control, Optimization, Ed. by V. M. Matrosov, S. N. Vasil’eva, and A. I. Moskalenko (Fizmatlit, Moscow, 2003) [in Russian].

E. Ya. Rapoport, “To Development of Applied Control Theory,” Mekhatronika, Avtomatizatsiya, Upravlenie, No. 6, 2–14 (2004).

A. G. Butkovskii, Structural Theory of Distributed Systems (Nauka, Moscow, 1977) [in Russian].

E. Ya. Rapoport and Yu. E. Pleshivtseva, Optimal Control of Induction Heating Processes (CRC Press, Taylor & Francis Group, Voca Raton, London, New York, 2007).

Yu. E. Pleshivtseva, “Algorithms of Suboptimal Spatial—Temporal Control for a System with Distributed Parameters,” in Elements and Systems of Optimal Identification and Control of Technological Processes (TulGTU, Tula, 1994), pp. 80–91.

E. Ya. Rapoport, Structural Simulation of Objects and Systems with Distributed Parameters (Vysshaya Shkola, Moscow, 2003) [in Russian].

Yu. V. Egorov, “A Necessary Optimality Condition in the Banach Space,” Mat. sb. (new series) 64(106) (1), (1964).

S. Karlin and V. Stadden, Chebyshev Systems and Their Application in Analysis and Statistics (Nauka, Moscow, 1976) [in Russian].

L. Kollatts and V. Krabs, Approximation Theory. Chebyshev Approximations (Nauka, Moscow, 1978) [in Russian].

A. G. Butkovskii, S. A. Malyi, and Yu. N. Andreev, Optimal Control for Heating Metals (Metallurgiya, Moscow, 1981) [in Russian].

R. Gabasov and F. M. Kirillova, Singular Optimal Controls (Nauka, Moscow, 1973) [in Russian].