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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Abstract 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.
AbstractList 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.
Author Banks, S.P.
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10.1016/0167-6911(85)90030-1
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Issue 2
Keywords Distributed systems
Bilinear-quadratic control problem
Optimal control
Bilinear system
Cost function
Quadratic control
Tensor calculus
Power serie
Distributed parameter system
Convergence
Language English
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References Greub (BIB5) 1978
Banks (BIB2) 1983; 315
Banks, Yew (BIB3) 1985; 5
Banks (BIB1) 1983
Dunford, Schwartz (BIB4) 1963
Banks (10.1016/0167-6911(87)90025-9_BIB3) 1985; 5
Greub (10.1016/0167-6911(87)90025-9_BIB5) 1978
Banks (10.1016/0167-6911(87)90025-9_BIB1) 1983
Banks (10.1016/0167-6911(87)90025-9_BIB2) 1983; 315
Dunford (10.1016/0167-6911(87)90025-9_BIB4) 1963
References_xml – year: 1978
  ident: BIB5
  article-title: Multilinear Algebra
– year: 1983
  ident: BIB1
  article-title: State-Space and Frequency-Domain Methods in the Control of Distributed Parameter Systems
– volume: 315
  start-page: 435
  year: 1983
  end-page: 451
  ident: BIB2
  article-title: Receding horizon control for distributed systems
  publication-title: J. Franklin Inst.
– year: 1963
  ident: BIB4
  article-title: Linear Operators II
– volume: 5
  start-page: 327
  year: 1985
  end-page: 333
  ident: BIB3
  article-title: On a class of suboptimal controls for infinite-dimensional bilinear systems
  publication-title: Systems Control Lett.
– year: 1963
  ident: 10.1016/0167-6911(87)90025-9_BIB4
– volume: 315
  start-page: 435
  year: 1983
  ident: 10.1016/0167-6911(87)90025-9_BIB2
  article-title: Receding horizon control for distributed systems
  publication-title: J. Franklin Inst.
  doi: 10.1016/0016-0032(83)90062-5
– year: 1983
  ident: 10.1016/0167-6911(87)90025-9_BIB1
– volume: 5
  start-page: 327
  year: 1985
  ident: 10.1016/0167-6911(87)90025-9_BIB3
  article-title: On a class of suboptimal controls for infinite-dimensional bilinear systems
  publication-title: Systems Control Lett.
  doi: 10.1016/0167-6911(85)90030-1
– year: 1978
  ident: 10.1016/0167-6911(87)90025-9_BIB5
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Snippet 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...
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StartPage 183
SubjectTerms Applied sciences
Bilinear-quadratic control problem
Computer science; control theory; systems
Control theory. Systems
Distributed systems
Exact sciences and technology
Optimal control
Title Optimal control of distributed bilinear systems
URI https://dx.doi.org/10.1016/0167-6911(87)90025-9
Volume 9
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