Notice bibliographique

Notice

Type(s) de contenu et mode(s) de consultation : Texte noté : électronique

Auteur(s) : Schöps, Sebastian. Éditeur scientifique Voir les notices liées en tant qu'auteur

Titre(s) : Progress in Differential-Algebraic Equations [Texte électronique] : Deskriptor 2013

Titre d'ensemble : Progress in differential-algebraic equations

Édition : Online-Ausg

Publication : Berlin, Heidelberg : Springer Berlin Heidelberg, 2014

Description matérielle : Online-Ressource (1 online resource (211 p.))

Collection : Differential-Algebraic Equations Forum
EBL-Schweitzer

Note(s) : Description based upon print version of record
Preface; Contents; Part I Control; Lyapunov Matrix Equations for the Stability Analysis of Linear Time-Invariant Descriptor Systems; 1 Introduction; 2 General Reflections on the Generalized Lyapunov Matrix Equations; 2.1 Relation Between Solutions of the Lyapunov Matrix Equations; 2.2 Examples; Differentiator; Double Differentiator; 3 Asymptotic Stability; 3.1 Weierstrass Canonical Form; 3.2 First Approach; 3.3 Second Approach; 4 Mechanical Descriptor Systems; 4.1 First Approach; 4.2 Second Approach; 5 Comparisation of the Two Approaches; Conclusions; References ; Zero Dynamics and Stabilization for Linear DAEsNomenclature; 1 Introduction; 2 Some Control Theoretic Concepts; 3 Stable Zero Dynamics; 4 Stabilization; References; Design of Causal Observers for Nonlinear Descriptor Systems; 1 Introduction; 2 Properties of Descriptor Systems; 3 Coupled State-Space Representation; 4 Causal Observability and Observer Design; 5 Examples; 5.1 Three-Mass Oscillator; 5.2 Academic Nonlinear Example; Conclusion; References; Part II Simulation; Monitoring Singularities While Integrating DAEs; 1 Introduction; 2 Tractability; 3 Index-3 Decoupling ; 4 Automatic Differentiation (AD)5 Consistent Initialization and Integration with AD; 5.1 Index Determination; 5.2 Consistent Initialisation; 5.3 Integrating IVPs; 5.4 Nonlinear DAEs; 6 Diagnosis of Singular Points; 7 Examples; 7.1 Linear DAEs; 7.2 Nonlinear Examples; 8 Outlook; References; Modular Time Integration of Block-Structured Coupled Systems Without Algebraic Loops; 1 Co-simulation and Modular Time Integration; 2 Block-Structured Coupled Systems; 3 Local Error Analysis; 4 Convergence Analysis; 5 Summary; References ; Error Analysis and Error Estimates for Co-simulation in FMI for Model Exchange and Co-Simulation v2.01 Introduction; 2 Block Representation of Coupled Systems; 3 Convergence Analysis; 4 Local Error Estimates; 5 Numerical Test: Benchmark Quarter Car; Conclusions; References; A Unified (P)DAE Modeling Approach for Flow Networks; 1 Modeling of Flow Networks; 1.1 Network Topology Describing Equations ; 1.2 Network Element Modeling; Electric Circuits; Gas Networks; Water Networks; 2 Model Classes for Flow Networks; 2.1 Static Networks with Lumped Element Models ; 2.2 Static Networks with Switching Element Models2.3 Dynamic Networks with Lumped Element Models; 2.4 Dynamic Networks with Switching Element Models; 2.5 Dynamic Networks with Distributed Element Models; Conclusions; References; Part III Model Order Reduction; Index-Aware Model Order Reduction for Higher Index DAEs; 1 Introduction; 2 Limitation of Conventional MOR Methods; 3 Decoupling of Index-3 DAEs; 3.1 Index-3 Systems with a Differential Part; Index-3 Systems Without a Differential Part; 4 Generalized Index Aware Model Order Reduction Method ; 4.1 GIMOR Method for DAE Systems with Differential Part ; This book contains the proceedings of the 8th Workshop on Coupled Descriptor Systems held March 2013 in the Castle of Eringerfeld, Geseke in the neighborhood of Paderborn, Germany. It examines the wide range of current research topics in descriptor systems, including mathematical modeling, index analysis, wellposedness of problems, stiffness and different time-scales, cosimulation and splitting methods and convergence analysis. In addition, the book also presents applications from the automotive and circuit industries that show that descriptor systems provide challenging problems from the poi

Autre(s) auteur(s) : Bartel, Andreas. Fonction indéterminée Voir les notices liées en tant qu'auteur
Günther, Michael. Fonction indéterminée Voir les notices liées en tant qu'auteur
ter Maten, E. Jan W.. Fonction indéterminée Voir les notices liées en tant qu'auteur
Mueller, Peter C.. Fonction indéterminée Voir les notices liées en tant qu'auteur