Differential inclusions with free time
Annales de l'I.H.P. Analyse non linéaire, Tome 5 (1988) no. 6, pp. 573-593.
@article{AIHPC_1988__5_6_573_0,
     author = {Loewen, Philip D. and Clarke, Frank H. and Vinter, Richard B.},
     title = {Differential inclusions with free time},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {573--593},
     publisher = {Gauthier-Villars},
     volume = {5},
     number = {6},
     year = {1988},
     mrnumber = {978672},
     zbl = {0672.49019},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_1988__5_6_573_0/}
}
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Loewen, Philip D.; Clarke, Frank H.; Vinter, Richard B. Differential inclusions with free time. Annales de l'I.H.P. Analyse non linéaire, Tome 5 (1988) no. 6, pp. 573-593. http://www.numdam.org/item/AIHPC_1988__5_6_573_0/

[1] L.D. Berkovitz, Optimal Control Theory, Springer Verlag, New York, 1974. | MR | Zbl

[2] F.H. Clarke, Optimization and Nonsmooth Analysis, New York, Wiley-Interscience, 1983. | MR | Zbl

[3] F.H. Clarke, Perturbed Optimal Control Probelms, I.E.E.E. Trans. Auto. Control, Vol. AC-31, 1986, pp. 535-542. | MR | Zbl

[4] F.H. Clarke and P.D. Loewen, The Value Function in Optimal Control: Sensitivity, Controllability, and Time-Optimality, S.I.A.M. J. Control Optim., Vol. 24, 1986, pp. 243-263. | MR | Zbl

[5] F.H. Clarke and P.D. Loewen, State Constraints in Optimal Control: a Case Study in Proximal Normal Analysis, S.I.A.M. J. Control Optim., Vol. 25, 1987, pp. 1440- 1456. | MR | Zbl

[6] F.H. Clarke and R.B. Vinter, Optimal Multiprocesses, S.I.A.M. J. Control Optim. (to appear). | MR | Zbl

[7] F.H. Clarke and R.B. Vinter, Applications of Optimal Multiprocesses, S.I.A.M. J. Control Optim. (to appear). | MR | Zbl

[8] R.V. Gamkrelidze, On Some Extremal Problems in the Theory of Differential Equations with Applications to the Theory of Optimal Control, S.I.A.M. J. Control, Vol. 3, 1965, pp. 106-128. | MR | Zbl

[9] A.D. Ioffe and V.M. Tikhomirov, Theory of Extremal Probelms, Amsterdam, North Holland, 1979. | Zbl

[10] P.D. Loewen, The Proximal Subgradient Formula in Banach Space, Canadian Math. Bulletin, to appear. | MR | Zbl

[11] L.S. Pontryagin, V.G. Boltyanskii, R.V. Gamkrelidze and E.F. Mischenko, The Mathematical Theory of Optimal Processes, Trans. K. N. TRIROGOFF and L. W. NEUSTADT Eds., Wiley, New York, 1962. | MR | Zbl

[12] R.T. Rockafellar, Proximal Subgradients, Marginal Values, and Augmented Lagrangians in Nonconvex Optimization, Math. of Oper. Res., Vol. 6, 1982, pp. 427-437. | MR | Zbl

[13] R.T. Rockafellar, Extensions of Subgradient Calculus with Applications to Optimization, Nonlinear Analysis, Vol. 9, 1985, pp. 665-698. | MR | Zbl

[14] R.B. Vinter and G. Pappas, A Maximum Principle for Non-Smooth Optimal Control Problems with State Constraints, J.M.A.A., Vol. 89, 1982, pp. 212-232. | MR | Zbl

[15] J. Warga, Optimal Control of Differential and Functional Equations, New York, Academic Press, 1972. | MR | Zbl