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Existence results for impulsive hyperbolic differential inclusions [PDF]

Applicable Analysis, 2003
In this article we investigate the existence of solutions for second order impulsive hyperbolic differential inclusions in separable Banach spaces. By using suitable fixed point theorems, we study the case when the multi-valued map has convex and non-convex values.
M. Benchohra*, L. Gòrniewicz, S.K. Ntouyas‡, A. Quahab   +3 more
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Method of averaging for impulsive differential inclusions [PDF]

, 1998
Summary: The paper deals with impulsive differential inclusions in the Euclidean space. The main purpose is to justify the method of averaging in the case of bounded and asymptotically small impulses. The obtained results, which are based on an integral continuity condition, generalize the first Bogolyubov's theorem for the method of averaging.
Plotnikov, V., Ivanov, R., Kitanov, N.
openaire   +6 more sources

Controllability of Neutral Impulsive Differential Inclusions with Non-Local Conditions [PDF]

Applied Mathematics, 2011
In this short article, we have studied the controllability result for neutral impulsive differential inclusions with nonlocal conditions by using the fixed point theorem for condensing multi-valued map due to Martelli [1].
Dimplekumar Chalishajar
exaly   +2 more sources

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Existence for Impulsive Semilinear Functional Differential Inclusions

Qualitative Theory of Dynamical Systems, 2021
In this paper authors, investigate the existence of solutions for first-order impulsive semilinear functional differential inclusions in Banach spaces. Sufficient condition for the existence is obtained with the well-known Covitz and Nadler's fixed point theorem for multivalued contractions.
Yan Luo, Weibing Wang
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Detectability under impulse differential inclusions

2001 European Control Conference (ECC), 2001
This paper adapts to the case of impulse and hybrid control systems the results obtained by Aubin, Biechi & Pancanti on "detectability" of solutions of usual control systems. Measurements of the state, described by a detectability tube, that may be quantized, are gathered along time.
Jean-Pierre Aubin, George Haddad
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Topological Chaos for Differential Inclusions with Multivalued Impulses on Tori

International Journal of Bifurcation and Chaos, 2021
A multivalued version of the Ivanov inequality for the lower estimate of topological entropy of admissible maps is applied to differential inclusions with multivalued impulses on tori via the associated Poincaré translation operators along their trajectories.
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Viability and invariance kernels of impulse differential inclusions

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2002
Impulse differential inclusions provide a framework for modelling hybrid phenomena. In the context of impulse differential inclusions, verification for safety specifications and safe controller synthesis can be formulated as viability and invariance questions for appropriate sets of states.
Jean-Pierre Aubin, John Lygeros, Marc Quincampoix, Shankar Sastry 0001, Nicolas Seube   +4 more
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Impulsive Differential Inclusions

2013
Impulsive differential equations have been developed in modeling impulsive problems in physics, population dynamics, ecology, biotechnology, industrial robotics, pharmacokinetics, optimal control, etc. The questions of existence and stability of solutions for different classes of initial values problems for impulsive differential equations and ...
John R. Graef, Johnny Henderson, Abdelghani Ouahab   +2 more
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Impulsive differential inclusions on an unbounded domain

2015 3rd International Conference on Control, Engineering & Information Technology (CEIT), 2015
In this paper, we provide sufficient conditions for the existence of solutions of second order differential inclusions with initial conditions. Our results are obtained via application of the multi-valued version of Krasnoelskii type for the sum B+G; where B is linear or nonlinear operator and G is multi-valued operator.
Samia Youcefi, Abdelghani Ouahab
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Impulse Differential Inclusions Driven by Discrete Measures

2007
We consider systems modeled by a differential inclusion subject to impulsive, set valued state resets. We study existence of solutions for this class of systems and derive conditions for a set of states to be viable. From the point of view of hybrid systems, of central interest is the fact that the class of systems and the solution concept considered ...
John Lygeros, Marc Quincampoix, Tadeusz Rzezuchowski   +2 more
openaire   +1 more source