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 |
Analysis |
engineering |
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controle |
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control |
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vibratie |
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vibration |
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regeltheorie |
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control theory |
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Engineering (General) |
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Techniek (algemeen) |
Bibliography |
Includes bibliographical references and index |
Notes |
English |
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Print version record |
In |
Springer eBooks |
Subject |
System analysis
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Nonlinear systems.
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systems analysis.
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Ingénierie.
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Nonlinear systems
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System analysis
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Form |
Electronic book
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Author |
Tornambè, Antonio.
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LC no. |
2011928506 |
ISBN |
9780857296122 |
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0857296124 |
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9780857296115 |
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0857296116 |
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