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Krishnan Balachandran, Rathinasamy Sakthivel (2000)
Kybernetika
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Sufficient conditions for controllability of semilinear functional integrodifferential systems in a Banach space are established. The results are obtained by using the Schaefer fixed-point theorem.
Mouffak Benchohra, Lech Górniewicz, Sotiris K. Ntouyas (2001)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper, we shall establish sufficient conditions for the controllability on semi-infinite intervals for first and second order functional differential inclusions in Banach spaces. We shall rely on a fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem. Moreover, by using the fixed point index arguments the implicit case is treated.
Vitali C. Dannon, Athanassios G. Kartsatos (1987)
Annales Polonici Mathematici
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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...
L. Górniewicz, S. K. Ntouyas, D. O'Regan (2006)
Annales Polonici Mathematici
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We prove controllability results for first and second order semilinear differential inclusions in Banach spaces with nonlocal conditions.
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.
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...
Jerzy Klamka (1996)
Kybernetika
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