This paper considers the stability of hybrid dynamic systems in the sense of Lyapunov. Necessary and su$cient conditions are derived which require only the Lyapunov function to be nonincreasing only along one subsequence of the `switchinga.
Stability of a class of hybrid computer models of dynamical systems
✍ Scribed by J.R. Amyot; G.A. Camiré
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 394 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0378-4754
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✦ Synopsis
Hybrid computer programming automation research is giving rise to a renewed interest in standard hybrid programming configurations. The stability of implementations whereby only time integrations and first-order prediction compensation are performed in the analog section is examined as a function of: (1) the damping ratio 5 of any one of the conceptual model's second-order eigenvalues, and (2) the normalized sampling rate R, expressed in samples per cycle of its natural undamped frequency. Stability boundaries in the (c,R) plane indicate a great dependence of stability on 5 and the existence of an optimum value of compensation factor, also a function of 5. Suboptimal values of compensation and corresponding lower bounds of R are tabulated for specific ranges of 5.
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