On the minimum time function and the minimum energy problem; a nonlinear case
Tài liệu tham khảo
Albano, 2000, Regularity results for the minimum time function of a class of semilinear evolution equations of parabolic type, SIAM J. Control Optim., 38, 916, 10.1137/S0363012998335176
Azé, 2000, Fast controls and minimum time, Control Cybernet., 29, 887
Barbu, 1983, Optimal feedback controls for a class of nonlinear distributed parameter systems, SIAM J. Control Optim., 21, 871, 10.1137/0321053
V. Barbu, Analysis and Control of Nonlinear Infinite-dimensional Systems, Mathematics in Science and Engineering, vol. 190, Academic Press, Boston, 1993.
Cannarsa, 2004, On the Bellman equation for the minimum time problem in infinite dimensions, SIAM J. Control Optim., 43, 532, 10.1137/S0363012902419011
Fattorini, 1964, Time-optimal control of solutions of operational differential equations, SIAM J. Control, 2, 54
Fattorini, 1996
Fattorini, 2000, The maximum principle in infinite dimension, Discrete Contin. Dynam. Systems, 6, 557, 10.3934/dcds.2000.6.557
Gozzi, 1999, Regularity of the minimum time function and minimum energy problems: the linear case, SIAM J. Control Optim., 37, 1195, 10.1137/S0363012996312763
Krabs, 1985, On time-minimal distributed control of vibrating systems governed by an abstract wave equation, Appl. Math. Optim., 3, 137, 10.1007/BF01442203
Krabs, 1989, On time-minimal distributed control of vibrations, Appl. Math. Optim., 19, 65, 10.1007/BF01448192