Optimal control by direct inversion of a positive-definite operator in a Hilbert space

Vidyasagar, M. (1971) Optimal control by direct inversion of a positive-definite operator in a Hilbert space Journal of Optimization Theory and Applications, 7 (3). pp. 173-177. ISSN 0022-3239

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Official URL: http://www.springerlink.com/content/v656u76524262k...

Related URL: http://dx.doi.org/10.1007/BF00932475

Abstract

A well-known perturbation theorem for linear operators is used to provide a series expansion for the inverse of a positive-definite operator in a Hilbert space. With this expansion, feasible computational procedures are obtained for solving some optimal control problems with quadratic cost functionals. The methods presented here are compared to alternate methods available in the literature.

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Deposited On:22 Aug 2011 12:28
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