On Impulsive Hyperbolic Differential Inclusions with Nonlocal Initial Conditions
Journal of Optimization Theory and Applications, 2008zbMATH 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, 2012Abstract 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., 2004This 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
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Impulsive functional Differential Inclusions on Unbounded Domain
2020 2nd International Conference on Mathematics and Information Technology (ICMIT), 2020In 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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Exponential Formula for Impulsive Differential Inclusions
2010This 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.
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Existence for Semilinear Impulsive Differential Inclusions Without Compactness
Journal of Dynamical and Control Systems, 2020The 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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Existence results for impulsive hyperbolic differential inclusions
Applicable Analysis, 2003In 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* +3 more
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Periodic solutions for impulsive differential inclusions with state dependent impulses
Topological Methods in Nonlinear AnalysisThe 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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Necessary conditions of optimality for impulsive differential inclusions
Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), 2002In this paper, we address a class of optimal control problems with dynamic constraints are specified by a differential inclusion, the control variables are in the space of positive Borel measures and the state trajectories are considered to be in the space of /spl Rscr//sup n/-valued functions of bounded variation.
F.L. Pereira, G.N. Silva, R.B. Vinter
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Periodic solutions to impulsive differential inclusions with constraints
Nonlinear Analysis: Theory, Methods & Applications, 2006Using a Lefschetz-type fixed-point theorem for set-valued maps, the authors prove the existence of a periodic solution to the following impulsive state constraints problem \[ \begin{cases} u'(t)\in F(t,u(t)) & \text{a.e. } \text{\(t\in [0,T]\setminus\{t_1,\ldots,t_n\},\)}\\ u(t_{k}^{+})\in \psi_k(u(t_k)) & \text{for any }k\in \{1,\ldots,n\},\\ u(t)\in ...
Kryszewski, Wojciech +1 more
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