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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Imprimer: 1064-2315
ISSN En ligne: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v32.i2.10
pages 1-15

Analysis of the Stability in Large of a Sampled-Data System with Nonlinear Continuous Part by Considering an Approximate Nonlinear Model

Andrey A. Korshunov
St. Petersburg State University
Anatoliy I. Korshunov
A.S. Popov Higher Navy School of Radioelectronics, St. Petersburg

RÉSUMÉ

The stability is analyzed for an approximate analytical model with the same stable state as the initial system has. This is reasoned by the fact that the difference equation for the analyzed system cannot be expressed analytically. The asymptotic stability domain of the model, which contains the corresponding domain of the system, is calculated by use of a convex Lyapunov function. Selection of a required subdomain is made by comparison of the approximation error and the distance between respective level surfaces of the Lyapunov function and its image resulted from mapping it by the approximating model. An application example is given.


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