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Zero-state observability and stability of discrete-time nonlinear systems

✍ Scribed by Wei Lin; Christopher I. Byrnes

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 674 KB
Volume: 31
Category: Article
ISSN: 0005-1098
DOI: 10.1016/0005-1098(94)00088-z

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✦ Synopsis

This paper studies discrete-time invariant autonomous systems

We investigate the problem of when asymptotic stability of I: can be characterized by means of zero-state observability of 2 and square summability of the output function h(x,). The relationship among observability, square summable series and stability of discrete-time autonomous systems is exposed. The main result developed in this paper unifies a series of stability theorems recently proposed in the literature, and generalizes Morse's Lemma [Morse, A. S. (1990). Towards a unified theory of parameter adaptive control tunability. IEEE Trans. Autom. Contr., 35, 1002-1012.1 in two directions: from continuous-time linear systems to their discrete counterparts and from linear systems to nonlinear systems.

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