Local uniqueness for Nash solutions of multiparameter singularly perturbed systems
IEEE Transactions on Circuits and Systems II: Express Briefs Volume 53 Issue 10
Page 1103-1107
published_at 2006-10
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| File | |
| Title ( eng ) |
Local uniqueness for Nash solutions of multiparameter singularly perturbed systems
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| Creator | |
| Source Title |
IEEE Transactions on Circuits and Systems II: Express Briefs
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| Volume | 53 |
| Issue | 10 |
| Start Page | 1103 |
| End Page | 1107 |
| 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.
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| Keywords |
Cross-coupled algebraic Riccati equation
CARE
general multiparameter singularly perturbed systems
GMSPS
local uniqueness
Nash games
parameter-independent Nash strategy
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| NDC |
Information science [ 007 ]
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
IEEE
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| Date of Issued | 2006-10 |
| Rights |
Copyright (c) 2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
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| Publish Type | Version of Record |
| Access Rights | open access |
| Source Identifier |
[ISSN] 1057-7130
[DOI] 10.1109/TCSII.2006.882211
[NCID] AA11900326
[DOI] http://dx.doi.org/10.1109/TCSII.2006.882211
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