2016
DOI: 10.1515/phys-2016-0026
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A time-delay equation: well-posedness to optimal control

Abstract: Abstract:In this paper, well-posedness, controllability and optimal control for a time-delay beam equation are studied. The equation of motion is modeled as a timedelayed distributed parameter system(DPS) and includes Heaviside functions and their spatial derivatives due to the finite size of piezoelectric patch actuators used to suppress the excessive vibrations based on displacement and moment conditions. The optimal control problem is defined with the performance index including a weighted quadratic functio… Show more

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