The Time-Optimal Problems for Controlled Fuzzy R-Solutions

Plotnikov, A. V.; Komleva, Tatyana A.; Molchanyuk, Irina V.

doi:10.4236/ica.2011.22018

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2013

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“…In the second, the obtained result is useful for constructing the ε-optimal piecewise constant controls for optimal control fuzzy system (fuzzy Mayer problem [25], fuzzy time-optimal problem [29,30,31,32] and other).…”

Section: Discussionmentioning

confidence: 99%

Piecewise Constant Controlled Linear Fuzzy Differential Inclusions

Плотников¹,

Komleva²

2013

ujam

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In this article we consider the some properties of the fuzzy R-solution of the controlled linear fuzzy differential inclusions. Also, many engineering systems use piecewise constant controls. However the majority of results of the theory of optimum control are received for measurable controls. In the given paper we introduce the algorithm of replacement of measurable control on piecewise constant control so that the corresponding fuzzy R-solutions of linear fuzzy systems would be close (with necessary accuracy)

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Section: Discussionmentioning

confidence: 99%