Journal of Automation and Information Sciences
Выходит 12 номеров в год
ISSN Печать: 1064-2315
ISSN Онлайн: 2163-9337
SJR:
0.173
SNIP:
0.588
CiteScore™::
2
Indexed in
Analysis of the Stability in Large of a Sampled-Data System with Nonlinear Continuous Part by Considering an Approximate Nonlinear Model
Том 32,
Выпуск 2, 2000,
pp. 1-15
DOI: 10.1615/JAutomatInfScien.v32.i2.10
Краткое описание
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.
Ключевые слова: sampled-data system, stability in the large, nonlinear system, asymptotic stability, equilibrium.
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Index, Volume 52, 2020