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Consistent approximations of the zeno behaviour in affine-type switched dynamic systems

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Date
2016
Author
Azhmyakov V.

Citación

       
TY - GEN T1 - Consistent approximations of the zeno behaviour in affine-type switched dynamic systems AU - Azhmyakov V. Y1 - 2016 UR - http://hdl.handle.net/11407/2860 PB - Hindawi Publishing Corporation AB - ER - @misc{11407_2860, author = {Azhmyakov V.}, title = {Consistent approximations of the zeno behaviour in affine-type switched dynamic systems}, year = {2016}, abstract = {}, url = {http://hdl.handle.net/11407/2860} }RT Generic T1 Consistent approximations of the zeno behaviour in affine-type switched dynamic systems A1 Azhmyakov V. YR 2016 LK http://hdl.handle.net/11407/2860 PB Hindawi Publishing Corporation AB OL Spanish (121)
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Abstract
This paper proposes a new theoretic approach to a specific interaction of continuous and discrete dynamics in switched control systems known as a Zeno behaviour. We study executions of switched control systems with affine structure that admit infinitely many discrete transitions on a finite time interval. Although the real world processes do not present the corresponding behaviour, mathematical models of many engineering systems may be Zeno due to the used formal abstraction. We propose two useful approximative approaches to the Zeno dynamics, namely, an analytic technique and a variational description of this phenomenon. A generic trajectory associated with the Zeno dynamics can finally be characterized as a result of a specific projection or/and an optimization procedure applied to the original dynamic model. The obtained analytic and variational techniques provide an effective methodology for constructive approximations of the general Zeno-type behaviour. We also discuss shortly some possible applications of the proposed approximation schemes.
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http://hdl.handle.net/11407/2860
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