Controllability, penalty and stiffness
Jacques-Louis Lions (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Jacques-Louis Lions (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Bopeng Rao (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider the exact controllability of a hybrid system consisting of an elastic beam, clamped at one end and attached at the other end to a rigid antenna. Such a system is governed by one partial differential equation and two ordinary differential equations. Using the HUM method, we prove that the hybrid system is exactly controllable in an arbitrarily short time in the usual energy space.
S. Guerrero, O. Yu. Imanuvilov (2007)
Annales de l'I.H.P. Analyse non linéaire
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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...
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.