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Preprint . 2009
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Article . 2011
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Avoidance Control on Time Scales

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 20 Apr 2010Embargo end date: 01 Jan 2009 English Publisher:Springer Science and Business Media LLCJournal:Journal of Optimization Theory and Applications, volume 145, pages 527-542 (issn: 0022-3239, eissn: 1573-2878, Copyright policy )
Authors: Pawłuszewicz, E.; Torres, D.F.M.;

doi: 10.1007/s10957-010-9694-1 , 10.48550/arxiv.0910.3308

arXiv: http://arxiv.org/abs/0910.3308

handle: 10773/4117

Avoidance Control on Time Scales

Abstract

We consider dynamic systems on time scales under the control of two agents. One of the agents desires to keep the state of the system out of a given set regardless of the other agent's actions. Leitmann's avoidance conditions are proved to be valid for dynamic systems evolving on an arbitrary time scale.

Revised edition in JOTA format. To appear in J. Optim. Theory Appl. 145 (2010), no. 3. In Press

Related Organizations
Keywords

Linear control systems, 93C55, Time scales, 93C05, 93C70, Optimization and Control (math.OC), Avoidance, FOS: Mathematics, 34N05; 93C05; 93C55; 93C70, 34N05, Mathematics - Optimization and Control

  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 17
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
17
Average
Top 10%
Top 10%
Green
bronze