Displaying similar documents to “Controllability on infinite time horizon for first and second order functional differential inclusions in Banach spaces”

Controllability for some partial functional integrodifferential equations with nonlocal conditions in Banach spaces

Khalil Ezzinbi, Guy Degla, Patrice Ndambomve (2015)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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This work concerns the study of the controllability of some partial functional integrodifferential equation with nonlocal initial conditions in Banach spaces. It gives sufficient conditions that ensure the controllability of the system by supposing that its linear homogeneous part admits a resolvent operator in the sense of Grimmer, and by making use of the measure of noncompactness and the Mönch fixed-point theorem. As a result, we obtain a generalization of the work of Y.K. Chang,...

Controllability of functional differential systems of Sobolev type in Banach spaces

Krishnan Balachandran, Jerald P. Dauer (1998)

Kybernetika

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Sufficient conditions for controllability of partial functional differential systems of Sobolev type in Banach spaces are established. The results are obtained using compact semigroups and the Schauder fixed point theorem. An example is provided to illustrate the results.

Controllability of evolution equations and inclusions driven by vector measures

N.U. Ahmed (2004)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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In this paper, we consider the question of controllability of a class of linear and semilinear evolution equations on Hilbert space with measures as controls. We present necessary and sufficient conditions for weak and exact (strong) controllability of a linear system. Using this result we prove that exact controllability of the linear system implies exact controllability of a perturbed semilinear system. Controllability problem for the semilinear system is formulated as a fixed point...

Simultaneous controllability in sharp time for two elastic strings

Sergei Avdonin, Marius Tucsnak (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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We study the simultaneously reachable subspace for two strings controlled from a common endpoint. We give necessary and sufficient conditions for simultaneous spectral and approximate controllability. Moreover we prove the lack of simultaneous exact controllability and we study the space of simultaneously reachable states as a function of the position of the joint. For each type of controllability result we give the sharp controllability time.

Schauder's fixed-point theorem in approximate controllability problems

Artur Babiarz, Jerzy Klamka, Michał Niezabitowski (2016)

International Journal of Applied Mathematics and Computer Science

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The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces. The presented investigation focuses on obtaining sufficient conditions for approximate controllability of various types of dynamic systems using Schauder's fixed-point theorem. We describe the results of approximate controllability for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions,...