Results 221 to 230 of about 572 (257)

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
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Impulse differential inclusions: a viability approach to hybrid systems

IEEE Transactions on Automatic Control, 2002
Impulse differential inclusions are introduced as a framework for modeling hybrid phenomena. Connections to standard problems in the area of hybrid systems are discussed. Conditions are derived that allow one to determine whether a set of states is viable or invariant under the action of an impulse differential inclusion.
Jean-Pierre Aubin, John Lygeros, Marc Quincampoix, Shankar Sastry 0001, Nicolas Seube   +4 more
openaire   +1 more source

Impulsive functional differential inclusions and fuzzy population models

Fuzzy Sets and Systems, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mengshu Guo, Xiaoping Xue 0001, Ronglu Li   +2 more
openaire   +2 more sources

Exponential Formula for Impulsive Differential Inclusions

2010
This paper studies the graph of the reachable set of a differential inclusion with non-fixed time impulses Using approximation in L1–metric, we derive exponential characterization of the reachable set.
openaire   +1 more source

On Impulsive Hyperbolic Differential Inclusions with Nonlocal Initial Conditions

Journal of Optimization Theory and Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang, Y.-K., Nieto, J. J., Li, W.-S.
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Identification of the Impulse Differential Inclusion for the Behavior of a Mechatronic System

IFAC Proceedings Volumes, 2012
Abstract In this paper we define the tolerancing of mechatronic system. We define the differential inclusion as a mathematical tool to solve this problem. We introduce the impulse differential inclusion as a tool to model hybrid phenomena. We carry out an identification of impulse differential inclusion of a mechatronic system.
Zerelli, M., Soriano, Thierry
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Detectability through measurements under impulse differential inclusions

Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2004
This paper adapts to the case of impulse and hybrid control systems the results obtained by Aubin, Bicchi & Pancanti on "detectability" of solutions of usual control systems. Measurements of the state, described by a informational tube, that may be quantized, are gathered along time, The detector associates at each time with any state ,satisfying the ...
Jean-Pierre Aubin, George Haddad
openaire   +1 more source

Impulsive functional Differential Inclusions on Unbounded Domain

2020 2nd International Conference on Mathematics and Information Technology (ICMIT), 2020
In this work, we present some results of existence of solutions and topological structure of some class of impulsive Cauchy problem of differential inclusions on Unbounded Domain.
Bahya Roummani, Abdelghani Ouahab
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Periodic solutions for impulsive differential inclusions with state dependent impulses

Topological Methods in Nonlinear Analysis
The paper investigates some qualitative properties of solutions to differential inclusions with state-dependent impulses. The first main objective is to prove that the mapping which assigns a set of solutions to the Cauchy problem for a given initial point is upper semicontinuous.
Grzegorz Gabor, Sebastian Ruszkowski
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Existence for Semilinear Impulsive Differential Inclusions Without Compactness

Journal of Dynamical and Control Systems, 2020
The author proves existence of mild solutions to the first-order semilinear impulsive differential inclusion with nonlocal condition \[\begin{aligned} x^{\prime}(t)\in A(t)x(t)+F(t,x(t)),\ t\in J^{\prime},\\ \Delta x\left( t_{k}\right) =I_{k}\left( x\left( t_{k}\right) \right),\ k=1,2,\dots,m,\\ x(0)=g(x) \end{aligned}\] in a reflexive Banach space \(X\
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