Buch, Englisch, 526 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 951 g
Reihe: Systems Engineering
Buch, Englisch, 526 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 951 g
Reihe: Systems Engineering
ISBN: 978-0-8493-1687-6
Verlag: CRC Press
This second edition comprehensively presents important tools of linear systems theory, including differential and difference equations, Laplace and Z transforms, and more.
Linear Systems Theory discusses:
- Nonlinear and linear systems in the state space form and through the transfer function method
- Stability, including marginal stability, asymptotical stability, global asymptotical stability, uniform stability, uniform exponential stability, and BIBO stability
- Controllability
- Observability
- Canonical forms
- System realizations and minimal realizations, including state space approach and transfer function realizations
- System design
- Kalman filters
- Nonnegative systems
- Adaptive control
- Neural networks
The book focuses mainly on applications in electrical engineering, but it provides examples for most branches of engineering, economics, and social sciences.
What's New in the Second Edition?
- Case studies drawn mainly from electrical and mechanical engineering applications, replacing many of the longer case studies
- Expanded explanations of both linear and nonlinear systems as well as new problem sets at the end of each chapter
- Illustrative examples in all the chapters
- An introduction and analysis of new stability concepts
- An expanded chapter on neural networks, analyzing advances that have occurred in that field since the first edition
Although more mainstream than its predecessor, this revision maintains the rigorous mathematical approach of the first edition, providing fast, efficient development of the material.
Linear Systems Theory enables its reader to develop his or her capabilities for modeling dynamic phenomena, examining their properties, and applying them to real-life situations.
Zielgruppe
Professional
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
- Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
- Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie
Weitere Infos & Material
IntroductionMathematical BackgroundIntroductionMetric Spaces and Contraction Mapping TheoryVectors and MatricesMathematics of Dynamic ProcessesSolution of Ordinary Differential EquationsSolution of Difference EquationsCharacterization of SystemsThe Concept of Dynamic SystemsEquilibrium and LinearizationContinuous Linear SystemsDiscrete SystemsApplicationsStability AnalysisThe Elements of the Lyapunov Stability TheoryBIBO StabilityApplicationsControllabilityContinuous SystemsDiscrete SystemsApplicationsObservabilityContinuous SystemsDiscrete SystemsDualityApplicationsCanonical FormsDiagonal and Jordan FormsControllability Canonical FormsObservability Canonical FormsApplicationsRealizationRealizability of Weighting PatternsRealizability of Transfer FunctionsApplicationsEstimation and DesignThe Eigenvalue Placement TheoremObserversReduced-Order ObserversThe Eigenvalue Separation TheoremApplicationsAdvanced TopicsNonnegative SystemsThe Kalman-Bucy FilterAdaptive Control SystemsNeural NetworksBibliographyIndex
