Hector Ramirez Estay

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— The conditions for structure preserving feedback of controlled contact system are studied. It is shown that only a constant feedback preserves the canonical contact form, hence a structure preserving feedback implies a contact system with respect to a new contact form. A necessary condition is stated as a matching equation in the feedback, the contact(More)
Conservative contact systems are defined with respect to an invariant Legendre submanifold and permit to endow thermodynamic systems with a geometric structure. Structure preserving feedback of controlled conservative contact systems involves to determine the existence of closed-loop invariant Legendre submanifolds. General results characterizing these(More)
— We show that a finite dimensional strictly passive linear controller exponentially stabilizes a large class of partial differential equations which are actuated through its boundaries on a one dimensional spatial domain. This is achieved by extending existing results on exponential stability of boundary control system with static boundary control to the(More)
In this paper it is shown that an input strictly passive linear finite dimensional port-Hamiltonian controller exponentially stabilizes a large class of boundary control systems. This follows since the finite dimensional controller dissipates the energy flowing through the boundaries of the infinite dimensional system. The assumptions on the controller is(More)