Titlebook: Stabilization of Distributed Parameter Systems: Design Methods and Applications; Grigory Sklyar,Alexander Zuyev Conference proceedings 202

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Control Design for Linear Port-Hamiltonian Boundary Control Systems: An Overview,t is shown how to design a state-feedback control action able to shape the energy function to move its minimum at the desired equilibrium, and how to achieve asymptotic stability via damping injection. Secondly, general conditions that a linear regulator has to satisfy to have a well-posed and expon

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Existence of Optimal Stability Margin forWeakly Damped Beams,s of the beam, of deflections of the center line of the beam, and of both. In one of the cases considered, for some values of physical parameters of the beam the optimal stability margin phenomenon may be observed, which means that under some conditions there exists an optimal value of a damping coe

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Stabilization of Crystallization Models Governed by Hyperbolic Systems,th ordinary and integro-differential equations. The considered systems admit nonzero steady-state solutions with constant inputs. To stabilize these solutions, we present an approach for constructing control Lyapunov functionals based on quadratic forms in weighted ..-spaces. It is shown that the pr

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Control Design for Linear Port-Hamiltonian Boundary Control Systems: An Overview,y when the plant is in impedance or in scattering form. It is also shown how these techniques can be employed in the analysis of more general systems described by coupled PDEs and ODEs. As an example, the repetitive control scheme is studied, and conditions to have asymptotic tracking of generic periodic reference signals are presented.