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Impulsive control problems

Authors: Ryszarda Rempała;

Impulsive control problems

Abstract

We consider a continuous time control system. The control involvs the state trajectory jump discontinuities in n interior times, called impulse moments. We deal with three kind of controls: (1°) The impuls moments are fixed. The parameters describing the jump are decision variables; (2°) Jump parameters are fixed. The moments are decision variables; (3°) Both the moments and the parameters are decision variables. In each case a maximum principle is stated. The paper shows that the proofs of the principle for cases (2°) and (3°) may be reduced to (1°). A simple proof in case (1°) is given.

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selected citations
These citations are derived from selected sources.
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!
0
Average
Average
Average
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