Abstract
The mathematical model of dynamical force and moment control on the boundary of an isotropic rectangular elastic plate is formulated as an abstract evolutionary equation via the Friedrichs extension of the coupled symmetric and coercively accretive differential operator. By the approach of infinite dimensional LaSalle invariance principle combined with the spectrum analysis, it is shown in Theorem 1 that the boundary damping feedback of velocity and angular velocity can strongly stabilize the evolutionary system. Consequently in Theorem 2 it is proved that the concerned dynamical boundary control system is approximately controllable.
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© 1988 Springer-Verlag
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You, Y. (1988). Dynamical boundary control of two-dimensional petrovsky system: Vibrating rectangular plate. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0042241
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DOI: https://doi.org/10.1007/BFb0042241
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