On the relation between strict dissipativity and turnpike properties
Tài liệu tham khảo
Willems, 1972, Dissipative dynamical systems. I. General theory, Arch. Ration. Mech. Anal., 45, 321, 10.1007/BF00276493
Willems, 1972, Dissipative dynamical systems. II. Linear systems with quadratic supply rates, Arch. Ration. Mech. Anal., 45, 352, 10.1007/BF00276494
Byrnes, 1991, Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems, IEEE Trans. Automat. Control, 36, 1217
van der Schaft, 2000
Angeli, 2012, On average performance and stability of economic model predictive control, IEEE Trans. Automat. Control, 57, 1615, 10.1109/TAC.2011.2179349
Diehl, 2011, A Lyapunov function for economic optimizing model predictive control, IEEE Trans. Automat. Control, 56, 703, 10.1109/TAC.2010.2101291
Grüne, 2013, Economic receding horizon control without terminal constraints, Automatica, 49, 725, 10.1016/j.automatica.2012.12.003
Grüne, 2014, Asymptotic stability and transient optimality of economic MPC without terminal conditions, J. Proc. Control, 24, 1187, 10.1016/j.jprocont.2014.05.003
Müller, 2014
Müller, 2015, On necessity and robustness of dissipativity in economic model predictive control, IEEE Trans. Automat. Control, 60, 1671, 10.1109/TAC.2014.2361193
M.A. Müller, L. Grüne, F. Allgöwer, On the role of dissipativity in economic model predictive control, in Proceedings of the 5th IFAC Conference on Nonlinear Model Predictive Control — NMPC’15, Seville, Spain, 2015, pp. 110–116.
von Neumann, 1945, A model of general economic equilibrium, Rev. Econ. Stud., 13, 1, 10.2307/2296111
Dorfman, 1987
Anderson, 1987, Optimal control problems over large time intervals, Automatica, 23, 355, 10.1016/0005-1098(87)90008-2
T. Faulwasser, M. Korda, C.N. Jones, D. Bonvin, Turnpike and dissipativity properties in dynamic real-time optimization and economic MPC, in: Proceedings of the 53rd IEEE Conference on Decision and Control — CDC 2014, 2014, pp. 2734–2739.
Carlson, 1991
Zaslavski, 2014
Damm, 2014, An exponential turnpike theorem for dissipative discrete time optimal control problems, SIAM J. Control Optim., 52, 1935, 10.1137/120888934
Porretta, 2013, Long time versus steady state optimal control, SIAM J. Control Optim., 51, 4242, 10.1137/130907239
Willems, 1971, Least squares stationary optimal control and the algebraic Riccati equation, IEEE Trans. Automat. Control, 16, 621, 10.1109/TAC.1971.1099831
Byrnes, 1994, Losslessness, feedback equivalence, and the global stabilization of discrete-time nonlinear systems, IEEE Trans. Automat. Control, 39, 83, 10.1109/9.273341
Sontag, 1998
Munkres, 1975
M.A. Müller, D. Angeli, F. Allgöwer, On convergence of averagely constrained economic MPC and necessity of dissipativity for optimal steady-state operation, in: Proceedings of the American Control Conference — ACC 2013, Washington, DC, USA, 2013, pp. 3141–3146.
M.A. Müller, F. Allgöwer, Robustness of steady-state optimality in economic model predictive control, in: Proceedings of the 51st IEEE Conference on Decision and Control — CDC2012, Maui, Hawaii, 2012, pp. 1011–1016.