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Optimality of extremals for linear systems with quadratic costs

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Publication:1823457
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DOI10.1016/0022-247X(89)90030-9zbMath0681.49020MaRDI QIDQ1823457

Jacob Kogan, Velimir Jurdjevic

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

linear control systemsPontryagin maximum principleRiccati differential equationJacobi necessary conditionintegral quadratic cost functionals


Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15)


Related Items (3)

Geometrical and topological methods in optimal control theory ⋮ Linear quadratic optimal control problems with fixed terminal states and integral quadratic constraints ⋮ Structure of minimizers in linear-quadratic Bolza problems of optimal control



Cites Work

  • Intersections of extremals in linear-quadratic control problems
  • Quadratic control problems
  • Sufficiency and the Jacobi Condition in the Calculus of Variations
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