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Book Cover
Author Menini, Laura.

Title Symmetries and semi-invariants in the analysis of nonlinear systems / Laura Menini, Antonio Tornambè
Published London ; New York : Springer, [2011]
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Description 1 online resource (ix, 340 pages)
Contents Part I: Theory -- Introduction -- Notation and Background -- Analysis of Linear Systems -- Analysis of Nonlinear Systems -- Analysis of Hamiltonian Systems -- Linearization by State Immersion -- Linearization by State Immersion of Hamiltonian Systems -- Extensions Based on the Use of Orbital Symmetries -- Part II: Applications to Control Systems -- Computation of the Flow of Linearizable Systems -- Semi-invariants -- Stability Analysis -- Observer Design -- Exact Sampling of Continuous-time Systems -- Applications to Physically Motivated Systems
Summary 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 comp
Bibliography Includes bibliographical references and index
Notes Print version record
Subject System analysis.
Nonlinear systems.
Form Electronic book
Author Tornambè, Antonio.
LC no. 2011928506
ISBN 0857296116
0857296124 (electronic bk.)
9780857296122 (electronic bk.)