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Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN 印刷: 1064-2315
ISSN オンライン: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v31.i7-9.370
pages 1-7

Interval Stability of a Nonlinear Control System with a Small Delay

Denis Ya. Khusainov
Kiev National Taras Shevchenko University, Kiev
Evgeniy O. Tsytritskiy
Kiev Taras Shevchenko University, Ukraine

要約

We find the conditions of interval (robust) stability of a nonlinear control system with a single delay. We find sufficient condition of interval stability of nonlinear systems, the coefficients of linear part changing in fixed boundaries and the nonlinear control function being situated in a given sector. Simultaneously we use the second Lyapunov method with the function which is defined as follows: "a square form plus an integral from the non-linearity". Estimating a total derivative, we consider that the previous history is in the domain which is limited by the level surface of a Lyapunov function.


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