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Record Nr. |
UNINA9911018660703321 |
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Autore |
Polyakov Andrey |
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Titolo |
Generalized Homogeneity in Systems and Control Volume I : Finite-Dimensional Systems / / by Andrey Polyakov |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
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ISBN |
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9783031762468 |
9783031762451 |
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Edizione |
[2nd ed. 2025.] |
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Descrizione fisica |
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1 online resource (1282 pages) |
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Collana |
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Communications and Control Engineering, , 2197-7119 |
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Disciplina |
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Soggetti |
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Automatic control |
System theory |
Control theory |
Engineering mathematics |
Control and Systems Theory |
Systems Theory, Control |
Engineering Mathematics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Chapter 1. Introduction -- Chapter 2. Finite-Dimensional Dynamical Systems -- Chapter 3. Stability and Robustness -- Chapter 4. Method of Lyapunov Function -- Chapter 5. Linear Dilation in Euclidean Space -- Chapter 6. Finite-dimensional Homogeneous Mappings -- Chapter 7. Analysis of Homogeneous Systems -- Chapter 8. Discretization of Homogeneous Systems -- Chapter 9. Homogeneous Stabilization of Linear Plant -- Chapter 10. Digitization of Homogeneous Control -- Chapter 11. Upgrading Linear Controller to Homogeneous Feedback -- Chapter 12. Safety-Critical Homogeneous Systems -- Chapter 13. Homogeneous Optimal Control -- Chapter 14. Homogeneous State Estimation -- Chapter 15. Homogeneous Control of Nonlinear Plants -- Chapter 16. Homogeneous Artificial Neural Network -- Chapter 17. Homogeneity in Multi-Agent Systems -- Appendix. |
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Sommario/riassunto |
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This book is an introduction to the theory of homogeneous systems, useful for the simplification of many types of nonlinear control problems. It propounds methods that can be employed when |
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linearization proves unsuitable and provides a unified approach to stability and robustness analysis, control and observer design, and system discretization. The second edition splits the coverage of homogeneity, allowing expanded coverage of finite-dimensional systems (in this book) and infinite-dimensional systems (in Volume II). The results are better systematized and easier for readers to study and assimilate. The first volume details the concepts of finite-time and fixed-time stability. Key features of the book include: mathematical models of dynamical systems in finite-dimensional spaces; the theory of linear dilations in Euclidean spaces; homogeneous control and estimation; extensively expanded and original chapters with entirely new treatments of digitization, safety-critical systems, neural networks, and multiagent control; simple methods for an upgrade of existing linear control laws; numerical schemes for a consistent digital implementation of homogeneous algorithms; and experimental results that confirm an improvement of PID controllers. Illustrative examples—numerical results, computer simulations, and real experiments—support all the theoretical material. The coverage of finite-dimensional systems presented in this book is of interest to graduate students of control theory from engineering and applied-mathematical backgrounds and to practising control engineers. |
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