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Hybrid systems. --- Dynamic systems, Hybrid --- Hybrid dynamic systems --- System theory
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This book focuses on the observability of hybrid systems. It enables the reader to determine whether and how a hybrid system's state can be reconstructed from sometimes necessarily partial information. By explaining how available measurements can be used to deduce past and future behaviours of a system, the authors extend this study of observability to embrace the properties of diagnosability and predictability.H-systemsshows how continuous and discrete dynamics and their interaction affect the observability of this general class of hybrid systems and demonstrates that hybrid characteristics are not simply generalizations of well-known aspects of traditional dynamics. The authors identify conditions for state reconstruction, prediction and diagnosis of the occurrence of possibly faulty states. The formal approach to proving those properties for hybrid systems is accompanied by simple illustrative examples. For readers who are interested in the use of state estimation for controller design, the book also provides design methods for hybrid state observers and covers their application in some industrial cases.The book's tutorial approach to the various forms of observability of hybrid systems helps to make H-systemsof interest to academic researchers and graduate students working in control and to practitioners using control in an industrial environment.
Hybrid systems. --- Dynamic systems, Hybrid --- Hybrid dynamic systems --- System theory
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This thesis is concerned with intention recognition for a humanoid robot and investigates how the challenges of uncertain and incomplete observations, a high degree of detail of the used models, and real-time inference may be addressed by modeling the human rationale as hybrid, dynamic Bayesian networks and performing inference with these models. The key focus lies on the automatic identification of the employed nonlinear stochastic dependencies and the situation-specific inference.
Intention Recognition --- Dynamic Systems --- (Conditional) Density Estimation --- Regularization --- Human-Robot-Cooperation
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This work introduces a new specification and verification approach for dynamic systems. The introduced approach is able to provide type II error free results by definition, i.e. there are no hidden faults in the verification result. The approach is based on Kaucher interval arithmetic to enclose the measurement in a bounded error sense. The developed methods are proven mathematically to provide a reliable verification for a wide class of safety critical systems.
Electrical engineering --- Verifikation --- Dynamische Systeme --- Intervall Arithmetik --- Diagnose --- Bounded Error --- Verification --- Dynamic Systems --- Interval Arithmetic --- Diagnosis
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Mechanics, Analytic. --- Celestial mechanics --- 517.987 --- 517.987 Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Mechanics, Analytic --- Mécanique analytique --- Mécanique céleste
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This book provides the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbits structure. The third and fourth parts develop in depth the theories of low-dimensional dynamical systems and hyperbolic dynamical systems. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up. Scientists and engineers working in applied dynamics, nonlinear science, and chaos will also find many fresh insights in this concrete and clear presentation. It contains more than four hundred systematic exercises.
Differentiable dynamical systems. --- Dynamique différentiable. --- 517.938 --- Theory of dynamic systems --- Dynamic systems --- 517.938 Theory of dynamic systems --- Differentiable dynamical systems --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Differential geometry. Global analysis --- Dynamique différentiable --- Topological dynamics. --- Dynamique topologique. --- Systèmes dynamiques. --- Dynamique différentiable. --- Systèmes dynamiques.
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System identification --- Systèmes, Identification des --- System identification. --- Systèmes, Identification des --- EXPERIMENTAL DATA --- MATHEMATICAL MODELS --- SIGNALS --- Dynamic systems --- Monograph --- Mathematical models. --- Models, Mathematical --- Simulation methods --- Systèmes, Théorie des
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