Title: A brief summary on the control recovery of time-varying K-G systems

Authors: Iwan Pranoto

Addresses: Department of Mathematics, Institut Teknologi Bandung, Jl. Ganesha 10, Bandung 40132, Indonesia

Abstract: In this paper, a technique to partially recover internal control on a distributed parameter system is reported. The system is described by a Klein-Gordon partial differential equation with a time-varying parameter of any dimension. We would like to recover the internal control applied to the system if we know some limited information about the output. This method requires one to construct a linear functional and it is shown here that the construction is possible if some distributed parameter system is exact controllable. Sufficient conditions for the exact controllability are related to the existence of some inequality.

Keywords: partial differential equations; Klein-Gordon; inequality; controllability; control recovery; time-varying K-G systems; distributed parameter systems.

DOI: 10.1504/IJMIC.2009.028872

International Journal of Modelling, Identification and Control, 2009 Vol.8 No.1, pp.32 - 37

Published online: 09 Oct 2009 *

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