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IMA Journal of Mathematical Control and Information 1986 3(2-3):237-253; doi:10.1093/imamci/3.2-3.237
© 1986 by Institute of Mathematics and its Applications
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Continuous Stabilizers and High-Gain Feedback

EDUARDO D. SONTAG

Department of Mathematics, Rutgers University New Brunswick, NJ 08903, U.S.A.

A controller is shown to exist, universal for the family of all systems of fixed dimension n with m controls, which stabilizes those systems that are stabilizable whenever certain gains are large enough. The controller parameters are polynomial functions of the entries of the plant. As a consequence, a result is proved on polynomial stabilization of families of systems.


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