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A series solution to the nash strategy for large scale interconnected systems |
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| Authors: | Ü. Özgüner W.R. Perkins |
| Affiliation: | 1. Dept. of Engr. and Arch., Istanbul Technical University, Besiktas, Istanbul, Turkey.;2. Coordinated Science Laboratory and Department of Electrical Engineering, University of Illinois, Urbana, IL 61801, U.S.A. |
| Abstract: | Optimum control of a linear large scale dynamic system is formulated as a game problem using individual subsystem quadratic cost functions and an overall Nash solution strategy. Computational complexities of the exact solution for large systems is overcome by parametric series solution based on ?-coupling. Computational virtues of this approach are noted, and the relation of the approximate and exact solutions is examined. |
| Keywords: | Computational methods differential games large-scale systems optimal control perturbation techniques |
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