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This volume details the analysis of continuous- and discrete-time dynamical systems described by differential and difference equations. The theory is developed for general nonlinear systems and specialized for the class of Hamiltonian systems.
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“The book Symmetries and semi-invariants in the analysis of nonlinear systems deals with some useful techniques to analyze the qualitative behavior of both continuous and discrete finite-dimensional dynamical systems. ... It is written very clearly, is basically self-contained, and a large number of exercises and examples are included. In summary, the book is highly recommended for all who work in dynamical systems, especially when the concept of symmetry plays an essential role.” (Isaac A. García, Mathematical Reviews, January, 2014)
Antonio Tornambè is a professor and Laura Menini is an associate professor, both in the area "Automatica", which covers both control Theory and robotics. Both of them have been involved in research in those fields generally and, of particular relevance to this book, they have worked on observer design for nonlinear systems (possibly subject to impulsive effects), on stabilization and tracking by state feedback for nonlinear systems, on modeling and control of mechanical systems (possibly subject to impacts), and on control of Hamiltonian systems. They also have wide experience of teaching and their main motivation for writing this book is that of collecting some recent results on the analysis of nonlinear systems, most of them hitherto unpublished, in the mathematical framework that allows both their rigorous derivation and a deep understanding of their meaning and their applicability.
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- EditoreSpringer
- Data di pubblicazione2014
- ISBN 10 1447162412
- ISBN 13 9781447162414
- RilegaturaCopertina flessibile
- Numero di pagine352
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Symmetries and Semi-invariants in the Analysis of Nonlinear Systems
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ISBN 13: 9781447162414
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Descrizione libro Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book details the analysis of continuous- and discrete-time dynamical systems described by differential and difference equations respectively. Differential geometry provides the tools for this, such as first-integrals or orbital symmetries, together with normal forms of vector fields and of maps. A crucial point of the analysis is linearization by state immersion.The theory is developed for general nonlinear systems and specialized for the class of Hamiltonian systems. By using the strong geometric structure of Hamiltonian systems, the results proposed are stated in a different, less complex and more easily comprehensible manner. They are applied to physically motivated systems, to demonstrate how much insight into known properties is gained using these techniques. Various control systems applications of the techniques are characterized including: computation of the flow of nonlinear systems; computation of semi-invariants; computation of Lyapunov functions for stability analysis and observer design. 352 pp. Englisch. Codice articolo 9781447162414
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Symmetries and Semi-invariants in the Analysis of Nonlinear Systems
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Descrizione libro Kartoniert / Broschiert. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Most results are derived for continuous- and discrete-time systems showing readers how to recognises when their own techniques are valid in both casesRigorous mathematical treatment in a simple style allows in-depth understanding to be easi. Codice articolo 4185602
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Symmetries and Semi-invariants in the Analysis of Nonlinear Systems
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Descrizione libro Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book details the analysis of continuous- and discrete-time dynamical systems described by differential and difference equations respectively. Differential geometry provides the tools for this, such as first-integrals or orbital symmetries, together with normal forms of vector fields and of maps. A crucial point of the analysis is linearization by state immersion.The theory is developed for general nonlinear systems and specialized for the class of Hamiltonian systems. By using the strong geometric structure of Hamiltonian systems, the results proposed are stated in a different, less complex and more easily comprehensible manner. They are applied to physically motivated systems, to demonstrate how much insight into known properties is gained using these techniques. Various control systems applications of the techniques are characterized including: computation of the flow of nonlinear systems; computation of semi-invariants; computation of Lyapunov functions for stability analysis and observer design. Codice articolo 9781447162414
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