Description of the Attainable Sets of One-Dimensional Differential Inclusions

Yurilev Chalco-Cano (), Valeriano A. Oliveira () and Geraldo N. Silva ()
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Yurilev Chalco-Cano: Universidad de Tarapacá
Valeriano A. Oliveira: UNESP - Univ. Estadual Paulista, Department of Applied Mathematics
Geraldo N. Silva: UNESP - Univ. Estadual Paulista, Department of Applied Mathematics

Journal of Optimization Theory and Applications, 2015, vol. 164, issue 1, No 7, 138-153

Abstract: Abstract The role played by the attainable set of a differential inclusion, in the study of dynamic control systems and fuzzy differential equations, is widely acknowledged. A procedure for estimating the attainable set is rather complicated compared to the numerical methods for differential equations. This article addresses an alternative approach, based on an optimal control tool, to obtain a description of the attainable sets of differential inclusions. In particular, we obtain an exact delineation of the attainable set for a large class of nonlinear differential inclusions.

Keywords: Attainable sets; Differential inclusions; Dynamic control systems; 93B03; 34A60; 49K15 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10957-014-0563-1

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