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Smith R.C., Demetriou M.A. — Research Directions in Distributed Parameter Systems
Smith R.C., Demetriou M.A. — Research Directions in Distributed Parameter Systems

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Название: Research Directions in Distributed Parameter Systems

Авторы: Smith R.C., Demetriou M.A.


Research Directions in Distributed Parameter Systems is composed of eleven chapters, written by experts in their respective fields, on topics ranging from control of the Navier-Stokes equations to nondestructive evaluation all of which are modeled by distributed parameters systems. Written by the plenary speakers for the Conference on Future Directions in Distributed Parameter Systems (October 2000), the volume addresses the state of the art, open questions, and important research directions in applications modeled by partial differential equations and delay systems, with the ultimate goal of passing along these perspectives to researchers in the field.
This book compiles a broad range of material, much of which is available only in research journals. Its goal is to disseminate to the research community the perspectives and challenges posed for a variety of current research applications. Topics include electromagnetic theory for dielectric and conductive materials, flow control, cardiovascular and respiratory models, homogenization and systems theory, optimal and geometric control, reduced-order models for large-scale systems, smart materials, and nondestructive evaluation and structural health monitoring for systems, including nuclear power plants. A unifying theme throughout the book focuses on the necessity of considering model development, numerical approximation, parameter estimation through inverse problem techniques, and control design in concert to achieve the stringent design criteria dictated by present applications.
Research Directions in Distributed Parameter Systems is intended for graduate students, academic and industrial research scientists, and program managers from funding agencies supporting research focused on distributed parameter systems.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2003

Количество страниц: 292

Добавлена в каталог: 31.10.2010

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Предметный указатель
$\varepsilon$-pseudospectrum      38 42
Anisotropic grids      82
Balanced truncations      101
Barkhausen effect      231
Boundary element methods      226
Burgers' equation abstract strong form      26
Burgers' equation abstract weak form      27
Burgers' equation Dirichlet boundary control      30
Burgers' equation distributed control      25
Burgers' equation instantaneous control      245
Burgers' equation Neumann boundary control      32
Cardiovascular-respiratory      201
Closed-loop dissipativity      243
Congestive heart failure      201
Controllability gramian      100
Coprime factorizations, left      96 105
Coprime factorizations, right      96
Corrector functions      61
Damage detection      170
Damping polarization      6
Damping viscous      20
Damping, delayed      160
Damping, structural      20
Denaturation rate      8
Dirichlet map      31
Eddy current testing (ECT)      219
Evolutionary programming      228
Feedback gain operators      23
Fenchel — Rockafellar duality      263
Frank — Starling mechanism      208
Frequency response function      171
Gap topology      96 107
Gap topology convergence of transfer functions      108
Ghidaglia and Temam framework      28
Graph topology      96
Hamilton — Jacobi — Bellman (HJB) equations      123 125 238 253
Hankel operator      100
health monitoring      see "Structural health monitoring"
Hilbert — Schmidt operator      36 247
Homogenization methods anisotropic grids      82
Homogenization methods multiple-scale      63
Homogenization methods perforated domains      73
Homogenization methods rubber-like materials      88
Homogenization methods Tartar's oscillating test functions      65
Homogenization methods truss-like structures      76 85
Homogenization methods two-scale convergence      67
Homogenization methods, periodic unfolding      68 71 86
Hysteresis      183 230
Input-output stability      112
Khoo model      205
Lame coefficients      83
Left-coprime factorization      96 105
Lorenz equation      38
LQG-balanced realization      103
LQG-balanced truncations      98
LQG-balanced truncations numerical computation      108
LQG-balanced truncations robust control design      112
Magnetic field      4
Max-plus basis expansions      133
Max-plus linearity      125
Max-plus martingales      131
Max-plus operations      123
Max-plus probability      130
Max-plus solutions      129
Max-plus stochastic calculus      130
Maxwell's equations      3 223
Medical risk      2
Medical therapy      12
Membrane kinetics      12
Method of snapshots      97 246
Models cardiovascular system      194
Models Grodin's four-compartment model      197
Models polarization      3
Models reactor pressure vessels      221
Models respiratory system      188
Models ventilation      193
Multiple-scale method      63
Navier — Stokes equations      238 258
Navier — Stokes equations approximate controllability      260
Navier — Stokes equations boundary control      258
Navier — Stokes equations instantaneous control      242
Navier — Stokes equations penalty argument      264
Navier — Stokes equations receding horizon control      242
Navier — Stokes equations, linearized      262
Neo-Hookian materials      89
Nondestructive evaluation      170
Nondestructive evaluation crack regions      224
Nondestructive evaluation material degradation      229
Nondestructive evaluation nano-scale flaws      232
Nondestructive evaluation quantitative nondestructive evaluation (QNDE)      219
Nonlinear elastomers      88
Nonlinear filtering      134
Nuclear power plants      219
Nuclear systems      98 102
Observability Gramian      100
Ohm's law      3
Periodic material      57
Periodic unfolding method      68 71 86
Periodic unfolding method perforated domains      73
Periodic unfolding operator      68
Piezoelectric materials damage detection      172 173
Piezoelectric materials homogenization issues      90
POD      see "Proper orthogonal decomposition"
Polarization model      3
Positive position feedback      175
Principle component analysis      97
Pritchard — Salamon (PS) realization      100
Pritchard — Salamon (PS) system      99
Proper orthogonal decomposition (POD)      21 97 246
Protein denaturation      8
Reduced basis method      249
Reduced-order models      97 246
Reference cell      56
Regulator equations      144 145 152
Regulator problem bounded inputs and outputs      142
Regulator problem error feedback      147
Regulator problem examples      152
Regulator problem state feedback      143
Regulator problem state feedback regular systems      151
Regulator problem state feedback well-posedness      144
Regulator problem systems with delays      155
Regulator problem unbounded inputs and outputs      150
Respiratory system control mechanisms      189
Respiratory system models      188
Respiratory system ventilatory control mechanisms      193
Riccati equations, state-dependent      252
Right-coprime factorization      96
Robust control design LQG-balanced truncation      112
Rubber-like materials      88
Self-healing      179
Semiconvex solutions      125
Sensors interferometric strain      175
Sensors, fiber optic      175
Structural health monitoring      170
Structural health monitoring crack-type damage      179
Structural health monitoring genetic algorithms      179
Superconducting quantum interference device (SQUID)      221 224
System Sensitivity      40
Tartar's oscillating test functions method      65
Thermal convection loop abstract model      37
Thermal convection loop control      34
Thermoacoustic effect      10
Tissue damage      8
Topologies gap      96 107
Topologies gap convergence of transfer functions      108
Topologies graph      96
Transmission zero      149
Trotter — Kato conditions      23
Trust region approach      249
Two-scale convergence method      67
Vanishing viscosity      127
Vibration suppression      174
Viscosity solutions      124
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