Description of the attainable sets of one-dimensional differential inclusions
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Data
2014
Autores
Chalco-Cano, Yurilev
Oliveira, Valeriano Antunes de [UNESP]
Silva, Geraldo Nunes [UNESP]
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Resumo
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.
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Palavras-chave
Attainable Sets, Differential Inclusions, Dynamic Control Systems
Como citar
Journal of Optimization Theory and Applications, v. 164, n. 1, p. 138-153, 2014.