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

ISSN Druckformat: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v31.i12.10
pages 1-15

Conditions of Technical Stability of Autonomous Control Systems with Variable Structure

Konstantin S. Matviychuk
Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

ABSTRAKT

The conditions of technical stability relative to a given measure for autonomous systems with variable structure, which are aimed to control neutral plants, are investigated. The control law has the meaning of all n — 1 derivatives with respect to a control as soon as n is the highest degree of a differential equation of motion. The consideration is focused on the case when n — 1 roots of a characteristic equation, which corresponds to initial linear equation, have negative real parts, and one root takes a zero value. The class of autonomous control systems of the third order with a variable structure has been analyzed by applying the obtained general criteria of technical stability.


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