| [1] Bemporad A, Heemels H, Schutter B. On hybrid systems and closed-loop MPC systems. IEEE T Automat Contr, 2002, 2(5):863-869[2] Antsaklis P J, Nerode A. Hybrid control systems:An introductory discussion to the special issue. IEEE T Automat Contr, 1998, 43(4):457-460[3] Schaft A J V D, Schumacher J M. Complementarity modelling of hybrid systems. IEEE T Automat Contr, 1998, 43(4):483-490[4] Bemporad A, Ferrari-Trecate G, Morari M. Observability and controllability of piecewise affine and hybrid systems. IEEE T Automat Contr, 2000, 45(10):1864-1876[5] Wu L, Zhang J, Ni M, et al. Asymptotic solution of singularly perturbed hybrid dynamical systems. Acta Math Sci, 2016, 36B(5):1457-1466[6] Ahmad B, Ntouyas S K, Tariboon J. A nonlocal hybrid boundary value problem of Caputo fractional integro-differential equations. Acta Math Sci, 2016, 36B(6):1631-1640[7] Aubin J P. Viability Theory. Boston:Birkhauser, 1991[8] Aubin J P, Lygeros J, Quincampoix M, et al. Impulse differential inclusions:A viability approach to hybrid systems. IEEE T Automat Contr, 2002, 47(1):2-20[9] Saint-Pierre P. Hybrid kernels and capture basins for impulse constrained systems. Hybrid Systems:Computation and Control. Springer Berlin Heidelberg, 2002:351-396[10] Krasovskii N N, Subbotin A I. Game-theoretical Control Problems. New York:Springer-Verlag, 1988[11] Leong C K, Huang W. A stochastic differential game of capitalism. J Math Econ, 2000, 46(4):552-561[12] Cardaliaguet P. A differential game with two players and one target. SIAM J Control Optim, 1996, 34(4):1441-1460[13] Cardaliaguet P, Quincampoix M, Saint-Pierre P. Some algorithms for differential game with two-players and one target. ESAIM:M2AN, 1994, 28(4):441-461[14] Chen Z, Gao Y. Determining the viable unbounded polyhedron under linear control systems. Asian J Control, 2014, 16(5):1561-1567[15] Lygeros J, Johansson K, Simić S, et al. Dynamical properties of hybrid automata. IEEE T Automat Contr, 2003, 48(1):2-17[16] Nandola N, Bhartiya S. A multiple model approach for predictive control of nonlinear hybrid systems. J Process Contr, 2008, 18(2):131-148[17] Hariprasad K, Bhartiya S, Gudi R. A gap metric based multiple model approach for nonlinear switched systems. J Process Contr, 2012, 22(9):1743-1754[18] Jimenez C, Quincampoix M, Xu Y. Differential games with incomplete information on a continuum of initial positions and without Isaacs condition. Dyn Games Appl, 2016, 6(1):1-15[19] Rockafellar R T. Convex Analysis. Princeton:Princeton University Press, 1970[20] Zhang C. Set-valued Analysis and Economic Application (in Chinese). Beijing:Science Press, 2008[21] Gao Y, Lggeros J, Quincampoix M. On the reachability problem of uncertain hybrid systems. IEEE T Automat Contr, 2007, 52(9):1572-1586[22] Clark F H, Ledyaev Yu S, Stern R J, et al. Nonsmooth Analysis and Control Theory. New York:SpringerVerlag, 1998[23] Gao Y. Viability criteria for differential inclusions. J Syst Sci Complex, 2011, 24(5):825-834[24] Demyanov V F, Rubinov A M. Constructive Nonsmooth Analysis. Frankfurt am Main:Peter Lang, 1995 |