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Titlebook: Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena; International Confer W. Desch,F. Kappel,K. Kunisch Conference

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Uniform Stabilizability of Nonlinearly Coupled Kirchhoff Plate Equations,oven that by appropriately choosing feedback controls, the energy of the system decays at a uniform rate. This result extends previous results in a number of directions: (.) it does not require any geometric hypotheses to be imposed on the domain; (.) it allows for the presence of nonlinear coupling
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Boundary Temperature Control for Thermally Coupled Navier-Stokes Equations,rol is discussed. Well-posedness and existence of the optimal control for the finite-time horizon problem and optimal control problem for the stationary equations are established. Necessary optimality conditions are also obtained.
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Adaptive Estimation of Nonlinear Distributed Parameter Systems,stimator is constructed as an initial value problem for an infinite dimensional evolution equation. State convergence is established via a Lyapunov-like estimate. The finite dimensional notion of persistence of excitation is extended to the infinite dimensional case and used to establish parameter c
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On Feedback Controls for Dynamic Networks of Strings and Beams and their Numerical Simulation,f exact or approximate controllability fail. This is, in particular, the case for networks containing circuits. Generically, a residual motion settles in such circuits, even if all nodes are subject to controls. In those situations we resort to controls which direct the flux of energy. Using such co
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Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena978-3-0348-8530-0Series ISSN 0373-3149 Series E-ISSN 2296-6072
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Vom Fahrer zum Denker und Teilzeitlenkers invariant over optimally controlled trajectories, and that it vanishes when the terminal time is free. The method is that of approximation of the original control system by a sequence of “smoothed” control systems
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