Nash games for multiparameter singularly perturbed systems with uncertain small singular perturbation parameters

Mukaidani Hiroaki

IEEE Transactions on Circuits and Systems II: Express Briefs

In this paper, the linear quadratic Nash games for infinite horizon multiparameter singularly perturbed systems with uncertain singular perturbation parameters are discussed. The main contribution is that a construction of high-order approximations to a strategy that guarantees a desired performance level on the basis of the successive approximation is proposed. It is newly shown that the proposed high-order approximate strategy improves the cost performance.

Generalized cross-coupled multiparameter algebraic Riccati equation (GCMARE)

Multiparameter singularly perturbed systems (MSPS)

Successive approximation

Uncertain small singular perturbation parameters

Information science [ 007 ]

eng

IEEE

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[ISSN] 1549-7747

[DOI] 10.1109/TCSII.2005.850779

[NCID] AA11900326

[DOI] http://dx.doi.org/10.1109/TCSII.2005.850779