Representation of the Attainable Set for Lipschitzian Differential Inclusions

Epi-Lipschitzian reachable sets of differential inclusions

The reachable sets of a differential inclusion have nonsmooth topological boundaries in general. The main result of this paper is that under the well–known assumptions of Filippov’s existence theorem (about solutions of differential inclusions), every epi-Lipschitzian initial compact set K ⊂ RN preserves this regularity for a short time, i.e. θF (t, K) is also epi-Lipschitzian for all small t >...

Description of the Attainable Sets of One-Dimensional Differential Inclusions

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 descript...

THE FULL AVERAGING OF FUZZY DIFFERENTIAL INCLUSIONS

In this paper the substantiation of the method of full averaging for fuzzy differential inclusions is considered. These results generalize the results of [17, 20] for differential inclusions with Hukuhara derivative and of [18] for fuzzy differential equations.

Improving the Solution of Fuzzy Differential Inclusions

Stability of discrete approximations for optimal control of one-sided Lipschitzian Differential Inclusions

where H is a Hilbert space, and where F : T ×H → H is a set-valued mapping with nonempty compact values (some results hold also with no compactness assumption). It is well known that the differential inclusion description under consideration is important for its own sake and covers many other conventional and nonconventional models involving dynamical systems in finite and infinite dimensions. ...