Title :
Game-based control systems: A semi-tensor product formulation
Author :
Daizhan Cheng ; Yin Zhao
Author_Institution :
Inst. of Syst. Sci., Beijing, China
Abstract :
A class of control systems, which are emerged from dynamic games, are considered. Using semi-tensor product of matrices, the set of strategies can be described as a set of matrices. Then the dynamics of such systems can be converted from logical type dynamics into standard discrete-time dynamic systems. Hence, the classical techniques for control systems are applicable to such systems. Semi-tensor product formulation of such systems is investigated. Some related optimal control problems are also investigated.
Keywords :
discrete time systems; game theory; matrix algebra; optimal control; tensors; discrete-time dynamic system; dynamic games; game-based control system; logical type dynamics; optimal control problem; semitensor product formulation; Aerospace electronics; Control theory; Games; Nash equilibrium; Optimal control; Power system dynamics; Dynamic game; Nash equilibrium; optimal control; payoff function; semi-tensor product;
Conference_Titel :
Control Automation Robotics & Vision (ICARCV), 2012 12th International Conference on
Conference_Location :
Guangzhou
Print_ISBN :
978-1-4673-1871-6
Electronic_ISBN :
978-1-4673-1870-9
DOI :
10.1109/ICARCV.2012.6485403
