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Preface ix
Errata xv
Introduction: Stability, Complexity, Reliability 1
Competition 2
Structure 5
Stability 9
Comparison Principle 15
Connective Stability 17
Cooperation 20
Decomposition 24
Aggregation 32
Decentralization 42
Synthesis 49
References 58
Analysis: Connective Stability 63
Structural Perturbations 65
Connective Stability 68
Differential Inequalities 74
Vector Liapunov Functions 81
Large-Scale Dynamic Systems 88
Partial Connective Stability 113
Connective Instability 126
Regions of Connective Stability 132
References 138
Synthesis: Decentralized Control 145
Reachability, Vulnerability, and Condensations 147
Decentralization 165
Stabilization 171
Estimation 192
Optimization 199
References 214
Economics:Competitive Equilibrium 219
Commodities and Prices: Demand Functions 222
A Dynamic Model 225
Connective Stability: Linear Case 228
Connective Stability: Nonlinear Case 234
Nonstationary Models: Moving Equilibrium 241
A Stochastic Model 250
Discrete Models 254
Composite Commodities: A Hierarchic Model 260
References 263
Ecology: Multispecies Communities 269
Linear Constant Models 271
Nonlinear Models: Linearization 276
Nonlinear Matrix Models 279
Stability Regions 285
Lotka-Volterra Model 287
Instability 294
Environmental Fluctuations 297
Stochastic Models: Stability 302
Stochastic Models: Instability 312
Hierarchic Models 315
References 322
Engineering: Spacecraft Control Systems 327
Large Space Telescope: A Model 328
Bilinear Systems: Local Stabilization 335
Stabilization of LST 338
Optimal Control of LST 340
Maximization of Structural Parameters 343
Stabilization of the Skylab 352
References 361
Engineering: Power Systems 363
Transient Stability 364
A Model and Decomposition 366
Subsystem Analysis 369
Stability Region 374
Three-Machine System 378
Automatic Generation Control 379
A Decentralized Model 381
Regulator Design 384
References 390
Matrices 394
References 406
Index 409
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Jeff Astin
reviewed Large-Scale Dynamic Systems: Stability and Structure on October 29, 2020
Large-Scale Dynamic Systems
J523.8Oxl
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Add Large-Scale Dynamic Systems: Stability and Structure, This unique interdisciplinary approach examines the intricate relationships among the stability and structures of massive dynamic systems. Its definitions of large systems in terms of their interconnected subsystems offer a computationally attractive appr, Large-Scale Dynamic Systems: Stability and Structure to the inventory that you are selling on WonderClubX
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Add Large-Scale Dynamic Systems: Stability and Structure, This unique interdisciplinary approach examines the intricate relationships among the stability and structures of massive dynamic systems. Its definitions of large systems in terms of their interconnected subsystems offer a computationally attractive appr, Large-Scale Dynamic Systems: Stability and Structure to your collection on WonderClub |