Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena: Volume 118 (International Series of Numerical Mathematics)

Wolfgang Desch

ISBN 10: 3034896662 / ISBN 13: 9783034896665

Editore: Springer 1994-09-01, 1994

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Codice articolo 6666-IUK-9783034896665

Dati bibliografici

• Titolo: Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena: Volume 118 (International Series of Numerical Mathematics)
• Editore: Springer 1994-09-01
• Data di pubblicazione: 1994
• Lingua: Inglese
• ISBN 10: 3034896662
• ISBN 13: 9783034896665
• Rilegatura: Paperback
• Condizione: New

Descrizione articolo

Riassunto

22 papers on control of nonlinear partial differential equations highlight the area from a broad variety of viewpoints. They comprise theoretical considerations such as optimality conditions, relaxation, or stabilizability theorems, as well as the development and evaluation of new algorithms. A significant part of the volume is devoted to applications in engineering, continuum mechanics and population biology.

Contenuti

A semigroup formulation of a nonlinear size-structured distributed rate population model.- Damage detection and characterization in smart material structures.- Optimality conditions for non-qualified parabolic control problems.- Convergence of trajectories for a controlled viscous Burgers’ equation.- Optimality conditions for boundary control problems of parabolic type.- Pontryagin’s principle for optimal control problems governed by semilinear elliptic equations.- Invariance of the Hamiltonian in control problems for semilinear parabolic distributed parameter systems.- Rate distribution modeling for structured heterogeneous populations.- A model for a two-layered plate with interfacial slip.- Numerical solution of a constrained control problem for a phase field model.- Uniform stabilizability of nonlinearly coupled Kirchhoff plate equations.- Boundary temperature control for thermally coupled Navier-Stokes equations.- Adaptive estimation of nonlinear distributed parameter systems.- Decay estimates for the wave equation with internal damping.- On the controllability of the rotation of a flexible arm.- Modeling and controllability of interconnected elastic membranes.- On feedback controls for dynamic networks of strings and beams and their numerical simulation.- Various relaxations in optimal control of distributed parameter systems.- Convergence of an SQP—method for a class of nonlinear parabolic boundary control problems.- Conditional stability in determination of densities of heat sources in a bounded domain.- Boundary stabilization of the Korteweg-de Vries equation.- Controllability of the linear system of thermoelasticity: Dirichlet-Neumann boundary conditions.