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Solving fuzzy differential equations via differential inclusions
(Atlantis Press, 2015-01-01)
In this paper we present a procedure to obtaining the solution of a fuzzy differential equation via differential inclusions. This procedure is an alternative approach, based on optimal control tools, to obtaining a description ...
Description of the attainable sets of one-dimensional differential inclusions
(2014)
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 ...
Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions
(PERGAMON-ELSEVIER SCIENCE LTD, 2012-02)
The main objective of this paper is to provide new explicit criteria to characterize weak lower semicontinuous Lyapunov pairs or functions associated to first-order differential inclusions in Hilbert spaces. These inclusions ...
On the solvability of implicit differential inclusions
(2014)
In the paper, the set-valued covering mappings are studied. The statements on solvability, solution estimates, and well-posedness of inclusions with conditionally covering mappings are proved. The results obtained are ...
Fuzzy differential equations and the extension principle
(Elsevier Science IncNew YorkEUA, 2007)
Necessary conditions of optimality for state constrained infinite horizon differential inclusions
(2011-12-01)
This article presents and discusses necessary conditions of optimality for infinite horizon dynamic optimization problems with inequality state constraints and set inclusion constraints at both endpoints of the trajectory. ...
Necessary conditions of optimality for state constrained infinite horizon differential inclusions
(2011-12-01)
This article presents and discusses necessary conditions of optimality for infinite horizon dynamic optimization problems with inequality state constraints and set inclusion constraints at both endpoints of the trajectory. ...