IMPULSE–SLIDING REGIMES IN SYSTEMS WITH DELAY

Alexander N. Sesekin     (Krasovskii Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russian Federation)
Natalya I. Zhelonkina     (Krasovskii Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russian Federation)

Abstract


The paper is devoted to the formalization of a concept of impulse-sliding regimes generated by positional impulse controls for systems with delay. We define the notion of impulse-sliding trajectory as a limit of a sequence of Euler polygonal lines generated by a discrete approximation of the impulse position control. The equations describing the trajectory of impulse-sliding regime are received.


Keywords


Impulse position control, Systems with delay, Impulse-sliding regime, The Euler polygons

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References


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DOI: http://dx.doi.org/10.15826/umj.2016.2.012

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