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.

Alternate checking criteria for reachable controllability of rectangular descriptor systems

Vikas Kumar Mishra, Nutan Kumar Tomar (2017)

Kybernetika

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Contrary to state space systems, there are different notions of controllability for linear time invariant descriptor systems due to the non smooth inputs and inconsistent initial conditions. A comprehensive study of different notions of controllability for linear descriptor systems is performed. Also, it is proved that reachable controllability for general linear time invariant descriptor system is equivalent to the controllability of some matrix pair under an assumption milder than...

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...