DocumentCode
3126157
Title
Power Series Solution of the Hamilton-Jacobi-Bellman Equation for Descriptor Systems
Author
Sjöberg, Johan ; Glad, Torkel
Author_Institution
Division of Automatic Control, Department of Electrical Engineering, Linkopings universitet, SE-581 83 Linköping, SWEDEN. johans@isy.liu.se
fYear
2005
fDate
12-15 Dec. 2005
Firstpage
6869
Lastpage
6874
Abstract
Optimal control problems for a class of nonlinear descriptor systems are considered. It is shown that they possess a well-defined analytical feedback solution in a neighborhood of the origin, provided stabilizability and some other regularity conditions are satisfied. Explicit formulas for the series expansions of the cost function and control law are given.
Keywords
Automatic control; Control systems; Cost function; Feedback; Integral equations; Jacobian matrices; Nonlinear control systems; Nonlinear equations; Optimal control; State-space methods;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN
0-7803-9567-0
Type
conf
DOI
10.1109/CDC.2005.1583267
Filename
1583267
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