Article ID Journal Published Year Pages File Type
697127 Automatica 2011 4 Pages PDF
Abstract

A novel criterion for the global asymptotic stability of discrete-time systems in a state–space realization using saturation arithmetic was previously given by Liu and Michel. In their approach, as in most (or probably all) existing approaches, the matrix P is assumed to be symmetric. In this communique, it is shown that their approach is such as to be extended to allow the use of an unsymmetric matrix P. Taking note of this, a more general form of their criterion is presented. A modified form of the criterion is also presented. Examples show the effectiveness of the generalized approach. To the best of author’s knowledge, this communique is the first report of exploiting an unsymmetric P to obtain a stability condition with reduced conservatism.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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