Nonautonomous regulator problem in Hilbert spaces View Full Text


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Article Info

DATE

1980-03

AUTHORS

L. Pandolfi

ABSTRACT

In this paper, we study the quadratic optimal control problem on the half linet≥to, for nonautonomous control processes in Hilbert spaces. We prove that the quadratic optimal control problem has a solution if, and only if, an associated Riccati equation has a positive solution fort≥to. The optimal control is given in feedback form. If a detectability assumption holds, then we prove that the optimal control is a stabilizing feedback control when the associated Riccati equation has a positive solution which is bounded fort≥to. More... »

PAGES

471-484

References to SciGraph publications

  • 1975-09. Remarks on the algebraic Riccati equation in Hilbert space in APPLIED MATHEMATICS & OPTIMIZATION
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf00935498

    DOI

    http://dx.doi.org/10.1007/bf00935498

    DIMENSIONS

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