Optimal control of hybrid dynamical systems with hysteresis

1999 ◽  
Author(s):  
Benoit Cebron ◽  
Manuela Sechilariu ◽  
Jacques Burger
Keyword(s):  
Optimal Control ◽  
Dynamical Systems ◽  
Hybrid Dynamical Systems

Optimal Control of Switching Surfaces in Hybrid Dynamical Systems

2005 ◽  
Vol 15 (4) ◽  
pp. 433-448 ◽  
Author(s):  
M. Boccadoro ◽  
Y. Wardi ◽  
M. Egerstedt ◽  
E. Verriest
Keyword(s):  
Optimal Control ◽  
Dynamical Systems ◽  
Hybrid Dynamical Systems

scholarly journals OPTIMAL CONTROL PROBLEMS FOR GENERAL GLOBAL HYBRID DYNAMICAL SYSTEMS WITH MATRIX COST FUNCTIONAL

2010 ◽  
Vol 51 (3) ◽  
pp. 331-349
Author(s):  
RUI GAO ◽  
XINZHI LIU
Keyword(s):  
Optimal Control ◽  
Dynamical Systems ◽  
Minimum Principle ◽  
Necessary Condition ◽  
Continuous Systems ◽  
Hybrid Dynamical Systems ◽  
Cost Functional ◽  
Discrete Time Systems ◽  
Special Cases ◽  
Time Systems

AbstractThis paper considers an optimal control problem for a class of controlled hybrid dynamical systems (HDSs) with prescribed switchings. By using Ekeland’s variational principle and a matrix cost functional, a minimum principle for HDSs is derived, which provides a necessary condition of the aforementioned problem. The results given in this paper include both pure continuous systems and pure discrete-time systems as special cases.

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