Optimal control of distributed bilinear systems

The optimal control problem for a bilinear distributed parameter system subject to a quadratic cost functional is solved. It is shown that the optimal control is given by a convergent power series in the state with tensor coefficients.

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Bibliographic Details
Published inSystems & control letters Vol. 9; no. 2; pp. 183 - 189
Main Author Banks, S.P.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.08.1987
Elsevier
Subjects
Applied sciences
Bilinear-quadratic control problem
Computer science; control theory; systems
Control theory. Systems
Distributed systems
Exact sciences and technology
Optimal control
Distributed systems
Bilinear-quadratic control problem
Optimal control
Bilinear system
Cost function
Quadratic control
Tensor calculus
Power serie
Distributed parameter system
Convergence
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Summary:The optimal control problem for a bilinear distributed parameter system subject to a quadratic cost functional is solved. It is shown that the optimal control is given by a convergent power series in the state with tensor coefficients.
ISSN:0167-6911
1872-7956
DOI:10.1016/0167-6911(87)90025-9