Control and Boundary Analysis

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John Cagnol, Jean-Paul Zolesio
CRC Press, Mar 4, 2005 - Mathematics - 306 pages
This volume comprises selected papers from the 21st Conference on System Modeling and Optimization in Sophia Antipolis, France. It covers over three decades of studies involving partial differential systems and equations. Topics include: the modeling of continuous mechanics involving fixed boundary, control theory, shape optimization and moving bou

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Contents

OPERATORSPLITTING METHODS AND APPLICATIONS TO THE DIRECT NUMERICAL SIMULATION OF PARTICULATE FLOW AND TO ...
1
DYNAMICAL SHAPE SENSITIVITY
29
OPTIMAL CONTROL OF A STRUCTURAL ACOUSTIC MODEL WITH FLEXIBLE CURVED WALLS
37
NONLINEAR WAVE EQUATIONS WITH DEGENERATE DAMPING AND SOURCE TERMS
53
NUMERICAL MODELING OF PHASE CHANGE PROBLEMS
63
SHAPE OPTIMIZATION OF FREE AIRPOROUS MEDIA TRANSMISSION COEFFICIENT
73
THE UNIFORM FAT SEGMENT AND CUSP PROPERTIES IN SHAPE OPTIMIZATION
85
TOPOLOGY OPTIMIZATION FOR UNILATERAL PROBLEMS
97
EVOLUTION HEMIVARIATIONAL INEQUALITY WITH HYSTERESIS AND OPTIMAL CONTROL PROBLEM
157
ON THE MODELING AND CONTROL OF DELAMINATION PROCESSES
169
ON A SPECTRAL VARIATIONAL PROBLEM ARISING IN THE STUDY OF EARTHQUAKES
189
NODAL CONTROL OF CONSERVATION LAWS ON NETWORKS
201
INVARIANCE OF CLOSED SETS UNDER STOCHASTIC CONTROL SYSTEMS
217
UNIFORM STABILIZATION OF AN ANISOTROPIC SYSTEM OF THERMOELASTICITY
231
SEMIGROUP WELLPOSEDNESS OF A MULTILAYER MEADMARKUS PLATE WITH SHEAR DAMPING
243
SOLUTION OF ALGEBRAIC RICCATI EQUATIONS ARISING IN CONTROL OF PARTIAL DIFFERENTIAL EQUATIONS
257

SECOND ORDER LAGRANGE MULTIPLIER APPROXIMATION FOR CONSTRAINED SHAPE OPTIMIZATION PROBLEMS
107
MATHEMATICAL MODELS OF ACTIVE OBSTACLES IN ACOUSTIC SCATTERING
119
LOCAL NULL CONTROLLABILITY IN A STATE CONSTRAINED THERMOELASTIC CONTACT PROBLEM
131
ON SENSITIVITY OF OPTIMAL SOLUTIONS TO CONTROL PROBLEMS FOR HYPERBOLIC HEMIVARIATIONAL INEQUALITIES
145
STABILIZATION IN COMPUTING SADDLE POINTS
281
SECOND ORDER SUFFICIENT CONDITIONS FOR OPTIMAL CONTROL SUBJECT TO FIRST ORDER STATE CONSTRAINTS
293
Index
305
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Popular passages

Page 228 - Characterization of stochastic viability of any nonsmooth set involving its generalized contingent curvature, Stochastic Analysis and Applications.
Page 105 - J. Sokolowski and A. Zochowski. Optimality conditions for simultaneous topology and shape optimization. SIAM Journal on Control and Optimization, 42:1198-1221, 2003.
Page 304 - First and second order sufficient optimality conditions in mathematical programming and optimal control.
Page 53 - Let Q be a bounded domain in R™ with a smooth boundary F.
Page 60 - V. Barbu and Th. Precupanu. Convexity and optimization in Banach spaces. Editura Academiei, Bucharest, revised edition, 1978.
Page 242 - I. Lasiecka and D. Tataru. Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping.

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John Cagnol, Jean-Paul Zolesio

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