Method of Tikhonov regularization in a problem of optimal control of a nonlinear parabolic system

Springer Science and Business Media LLC - Tập 30 - Trang 163-165 - 1989
S. Ya. Serovaiskii

Tài liệu tham khảo

A. N. Tikhonov, “Stability of the problem of minimization of functionals,” Zh. Vychisl. Mat. Mat. Fiz.,64, 28–34 (1964). F. P. Vasil'ev, Methods of Solution of Extremal Problems [in Russian], Nauka, Moscow (1981). T. Zolezzi, “A characterization of well-posed optimal control systems,” SIAM J. Contr. Optim.,19, No. 5, 604–616 (1981). Kh. Gaevskii, K. Greger, and K. Zakharias, Nonlinear Operator Equations and Operator Differential Equations [Russian translation], Mir, Moscow (1978). A. T. Luk'yanov and S. Ya. Serovaiskii, “The method of successive approximations in the problem of control of a nonlinear parabolic system,” Zh. Vychisl. Mat. Mat. Fiz.,24, No. 11, 1638–1648 (1984). S. Ya. Serovaiskii, “A comparative analysis of means of substantiation of necessary conditions for optimality in nonlinear systems,” Red. Zhurn. “Izv. vuzov Matematika,” VINITI deposition, October 31, 1983, No. 5896-83. F. L. Chernous'ko and V. B. Kolmanovskii, “Numerical and approximate methods of optimal control,” Mat. Anal., No. 14, 101–166, Moscow (1977). R. Gabasov and F. M. Kirillova, Singular Optimal Controls [in Russian], Nauka, Moscow (1979). A. N. Tikhonov and V. Ya. Arsenin, Methods of Solution of Ill-Posed Problems [in Russian], Nauka, Moscow (1979). J.-L. Lions, Optimal Control of Systems Described by Partial Differential Equations [Russian translation], Mir, Moscow (1972). S. Ya. Serovaiskii, “The problem of optimal control for an elliptic system with power nonlinearity,” Sib. Mat. Zh.,25, No. 1, 120–125 (1984).