Controllability conditions of linear degenerate evolution systems View Full Text


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Article Info

DATE

1980-03

AUTHORS

A. Favini

ABSTRACT

Generalizations of well-known conditions for controllability of linear abstract autonomous systems defined on Banach spaces to the case where there is a closed non invertible operator at the derivative are established. Presence of this operator implies that suitable controllers must be chosen. If the operators entering in the equation satisfy certain hypotheses, approximate controllability by use of this class of controllers is expressed only in terms of the coefficients of the system. In particular, approximate controllability in finite time is then equivalent to approximate controllability, according to the usual definition, of a corresponding non degenerate system. This is the case, for example, when the concerned spaces are finite dimensional. Some applications to partial differential equations are given. More... »

PAGES

153-167

References to SciGraph publications

  • 1980-04. Controllability and stabilization for linear systems of algebraic and differential equations in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01442890

    DOI

    http://dx.doi.org/10.1007/bf01442890

    DIMENSIONS

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