Minimal time crisis versus minimum time to reach a viability kernel: A case study in the prey-predator model
暂无分享,去创建一个
[1] Noël Bonneuil,et al. Viable populations in a prey–predator system , 1997 .
[2] Frédéric Grognard,et al. Positive Control for Global Stabilization of Predator-Prey Systems , 2013, NOLCOS.
[3] L. Doyen,et al. Scale of Viability and Minimal Time of Crisis , 1997 .
[4] Hyunjoong Kim,et al. Functional Analysis I , 2017 .
[5] B. Goh,et al. Management and analysis of biological populations , 1982 .
[6] P. V. Prostyakov. Construction of the reachability set of the Lotka-Volterra system , 2006 .
[7] Marc Quincampoix,et al. Differential inclusions and target problems , 1992 .
[8] Singiresu S. Rao,et al. Optimization Theory and Applications , 1980, IEEE Transactions on Systems, Man, and Cybernetics.
[9] Lucas Reijnders,et al. Sustainable Management of Natural Resources , 2004 .
[10] P. Olver. Nonlinear Systems , 2013 .
[11] D. Aeyels,et al. Accessibility properties of controlled Lotka-Volterra systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).
[12] Jean-Pierre Aubin,et al. Viability theory , 1991 .
[13] Vladimir Borisov,et al. Theory of Chattering Control , 1994 .
[14] Jean-Pierre Aubin,et al. Viability Theory: New Directions , 2011 .
[15] M. L. Chambers. The Mathematical Theory of Optimal Processes , 1965 .
[16] Victor M. Becerra,et al. Optimal control , 2008, Scholarpedia.
[17] Alain Rapaport,et al. About Moreau-Yosida regularization of the minimal time crisis problem , 2016 .
[18] F. Clarke. Functional Analysis, Calculus of Variations and Optimal Control , 2013 .
[19] Lamberto Cesari,et al. Optimization-Theory And Applications , 1983 .
[20] Lisa Werner,et al. Sustainable Management Of Natural Resources Mathematical Models And Methods , 2016 .
[21] Emmanuel Tr'elat,et al. Planar tilting maneuver of a spacecraft: singular arcs in the minimum time problem and chattering , 2015, 1504.06219.
[22] Thomas L. Vincent,et al. Optimal Control of a Prey-Predator System* , 1974 .
[23] Jean-Luc Gouzé,et al. Optimal feedback strategies for bacterial growth with degradation, recycling, and effect of temperature , 2018 .
[24] J. Ball. OPTIMIZATION—THEORY AND APPLICATIONS Problems with Ordinary Differential Equations (Applications of Mathematics, 17) , 1984 .
[25] Alain Rapaport,et al. About the minimal time crisis problem , 2017 .
[26] Mauro Garavello,et al. Hybrid Necessary Principle , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.
[27] Narcisa C. Apreutesei,et al. An optimal control problem for a prey-predator system with a general functional response , 2009, Appl. Math. Lett..
[28] Eugenius Kaszkurewicz,et al. Threshold policies control for predator-prey systems using a control Liapunov function approach. , 2005, Theoretical population biology.
[29] Alain Rapaport,et al. Characterization of Barriers of Differential Games , 1998 .
[30] Frédéric Grognard. Feedback stabilization of predator-prey systems for impulsive biological control , 2014 .
[31] A. Ibañez. Optimal control of the Lotka–Volterra system: turnpike property and numerical simulations , 2017, Journal of biological dynamics.
[32] Yu. S. Ledyaev,et al. Nonsmooth analysis and control theory , 1998 .
[33] Eladio Ocaña Anaya,et al. Ecosystem Viable Yields , 2011, Environmental Modeling & Assessment.
[34] Robert M. May,et al. Maximum sustainable yields in systems subject to harvesting at more than one trophic level , 1980 .
[35] Frédéric Grognard,et al. Global stability and optimisation of a general impulsive biological control model. , 2008, Mathematical biosciences.
[36] Holger Wacker,et al. The economics of harvesting predator-prey systems , 1995 .
[37] J. F. Bonnans,et al. A domain control approach to state-constrained control problems , 1988 .
[38] Emmanuel Trélat,et al. Convergence Results for Smooth Regularizations of Hybrid Nonlinear Optimal Control Problems , 2011, SIAM J. Control. Optim..