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Null controllability of linear systems with control restraints

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1 Author(s)
Gifford, W.S. ; Bell Telephone Laboratories, Incorporated, Whippany, New Jersy

This paper provides some necessary conditions and some sufficient conditions for the null controllability of constant linear systems and a class of time-varying linear systems. The approach provides geometrical interpretations of the usual algebraic criteria and gives insight into the effects of restrained controls. The results show that controllability of a linear system imposes relationships among the cyclic subspaces (algebraic structure of the system), the eigenvalues, and the control restraint set.

Published in:

Decision and Control, 1971 IEEE Conference on

Date of Conference:

15-17 Dec. 1971