Title | Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena [electronic resource] : International Conference in Vorau (Austria), July 18-24, 1993 / edited by W. Desch, F. Kappel, K. Kunisch |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1994 |

Connect to | http://dx.doi.org/10.1007/978-3-0348-8530-0 |

Descript | XIII, 402 p. online resource |

SUMMARY

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

CONTENT

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 Burgersโ{128}{153} equation -- Optimality conditions for boundary control problems of parabolic type -- Pontryaginโ{128}{153}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 SQPโ{128}{148}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

Mathematics
Applied mathematics
Engineering mathematics
Computer mathematics
Mathematics
Computational Mathematics and Numerical Analysis
Applications of Mathematics