[1] Bellman R E, Glicksberg I, Gross O A. On the “bang-bang” control problem. Quart Appl Math, 1956, 14: 11–18
[2] Bellman R E. Dynamic Programming. Princeton: Princeton University Press, 1957
[3] Boltyanski V G, Gamkrelidze R V, Pontryagin L S. On the theory of optimal processes. Dokl Akad Nauk SSSR, 1956, 110: 7–10
[4] Boltyanskii V G. Sufficient conditions for optimality and the justification of the dynamic programming method. SIAM J Control, 1966, 4: 326–361
[5] Cannarsa P, Cˇarjâ O. On the Bellman equation for the minimum time problem in infinite dimensions. SIAM J Contr Opt, 2004, 43: 532–548
[6] Cˇarjâ O. The minimal time function in infinite dimension. SIAM J Contr Opt, 1993, 31: 1103–1114
[7] Cˇarjâ O. On the minimum time function and the minimum energy problem; a nonlinear case. Syst Contr Lett, 2006, 55: 543–548
[8] Cˇarjâ O, Lazu A. On the minimal time null controllability of the heat equation. Discrete Contin Dyn Syst, Proc 7th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 2009: 143–150
[9] Fattorini H O. Time-optimal control of solutions of operational differential equations. SIAM J Contr, 1964, 2: 54–59
[10] Fattorini H O. The maximum principle in infinite dimension. Discrete Contin Dyn Syst, 2000, 6: 557–574
[11] Fattorini H O. Time optimality and the maximum principle in infinite dimension. Optimization, 2001, 50: 361–385
[12] Fattorini H O. A survey of the time optimal problem and the norm optimal problem in infinite dimension. Cubo Mat Educational, 2001, 3: 147–169
[13] Fattorini H O. Existence of singular extremals and singular functionals in reachable spaces. J Evolution Equations, 2001, 1: 325–347
[14] Fattorini H O. Vanishing of the costate in Pontryagin’s maximum principle and singular time optimal controls. J Evolution Equations, 2004, 4: 99–123
[15] Fattorini H O. Sufficiency of the maximum principle for time optimality. Cubo: A Mathematical Journal, 2005, 7: 27–37
[16] Fattorini H O. Smoothness of the costate and the target in the time and norm optimal problems. Optimization, 2006, 55: 19–36
[17] Fattorini H O. Infinite Dimensional Linear Control Systems. North-Holland Mathematical Studies 201. Amsterdam: Elsevier, 2005
[18] Fattorini H O. Linear control systems in sequence spaces//Amann H, et al eds. Funct Anal Evol Equ. The G¨unter Lumer Volume. Springer, 2007: 273–290
[19] Fattorini H O. Regular and strongly regular time and norm optimal controls. Cubo: A Mathematical Journal, 2008, 10: 77–92
[20] Fattorini H O. Time and norm optimality of weakly singular controls//Progress in Nonlinear Differential Equations and Their Applications 60 (Parabolic Problems: Herbert Amann Festschrift). Basel AG: Springer, 2011: 233–249
[21] Fattorini H O. Strongly regular time and norm optimal controls. To appear in Dynamics of Continuous, Discrete and Impulsive Systems.
[22] Frankowska H. Value function in optimal control, parts 1, 2. ICTP Lect Notes, 8. Abdus Salam Int Cent Theoret Phys, Trieste, 2002: 516–653
[23] Lin P, Wang G. Blowup time optimal control for ordinary differential equations. SIAM J Contr Optim, 2011, 49: 73–105
[24] Pontryagin L S, Boltyanski V G, Gamkrelidze R V, Mischenko E F. The Mathematical Theory of Optimal Processes. Moscow: Gostejizdat, 1961; English translation, New York: Wiley, 1962 |