Title :
Local Uniqueness for Nash Solutions of Multiparameter Singularly Perturbed Systems
Author :
Mukaidani, Hiroaki
Author_Institution :
Graduate Sch. of Educ., Hiroshima Univ.
Abstract :
In this brief, linear quadratic infinite-horizon Nash games for general multiparameter singularly perturbed systems are studied. The local uniqueness and the asymptotic structure of the solutions to the cross-coupled multiparameter algebraic Riccati equation (CMARE) are newly established. Utilizing the asymptotic structure of the solutions to the CMARE, the parameter-independent Nash strategy is established. A numerical example is given to demonstrate the efficiency and feasibility of the proposed analysis
Keywords :
Riccati equations; game theory; perturbation techniques; Nash games; Nash solutions; cross coupled algebraic Riccati equation; linear quadratic infinite-horizon; multiparameter singularly perturbed systems; Circuits; Control systems; Cost function; Feedback; Nash equilibrium; Power system reliability; Riccati equations; Vectors; Cross-coupled algebraic Riccati equation (CARE); Nash games; general multiparameter singularly perturbed systems (GMSPS); local uniqueness; parameter-independent Nash strategy;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2006.882211
