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Global stabilization of linear discrete-time systems with bounded feedback

✍ Scribed by Yudi Yang; Eduardo D. Sontag; Hector J. Sussmann

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
649 KB
Volume
30
Category
Article
ISSN
0167-6911

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✦ Synopsis

This paper deals with the problem of global stabilization of linear discrete time systems by means of bounded feedback laws. The main result proved is an analog of one proved for the continuous time case by the authors, and shows that such stabilization is possible if and only if the system is stabilizable with arbitrary controls and the transition matrix has spectral radius less than or equal to one. The proof provides in principle an algorithm for the construction of such feedback laws, which can be implemented either as cascades or as parallel connections ("single hidden layer neural networks") of simple saturation functions. @ 1997 Elsevier Science B.V.

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