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[null,"1.","Record Nr.",null,"UNINA9910483555003321"]
[null,null,"Autore",null,"Polyakov Andrey"]
[null,null,"Titolo",null,"Generalized Homogeneity in Systems and Control / / by Andrey Polyakov"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020"]
[null,null,"ISBN",null,"3-030-38449-7"]
[null,null,"Edizione",null,"[1st ed. 2020.]"]
[null,null,"Descrizione fisica",null,"1 online resource (454 pages)"]
[null,null,"Collana",null,"Communications and Control Engineering, , 0178-5354"]
[null,null,"Disciplina",null,"629.8312"]
[null,null,"Soggetti",null,"Automatic control"]
[{"$nulls":4},"System theory"]
[{"$nulls":4},"Engineering mathematics"]
[{"$nulls":4},"Control and Systems Theory"]
[{"$nulls":4},"Systems Theory, Control"]
[{"$nulls":4},"Engineering Mathematics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"Chapter 1. Introduction -- Part I: Models of Control Systems and Stability Analysis -- Chapter 2. Finite-Dimensional Models -- Chapter 3. Inﬁnite-Dimensional Models -- Chapter 4. Stability and Convergence Rate -- Chapter 5. Method of Lyapunov Functions -- Part II: Homogeneous Control Systems -- Chapter 6. Dilation Groups in Banach, Hilbert and Euclidean Spaces -- Chapter 7. Homogeneous Mappings -- Chapter 8. Analysis of Homogeneous Dynamical Systems -- Chapter 9. Homogeneous Stabilization -- Chapter 10. Consistent Discretization of Homogeneous Models -- Chapter 11. Homogeneous State Estimation -- Chapter 12. Homogeneous Optimal Control -- Appendix -- Index."]
[null,null,null,"Sommario/riassunto","This monograph introduces the theory of generalized homogeneous systems governed by differential equations in both Euclidean (finite-dimensional) and Banach/Hilbert (infinite-dimensional) spaces. It develops methods of stability and robustness analysis, control design, state estimation and discretization of homogeneous control systems. Generalized Homogeneity in Systems and Control is structured in two parts. Part I discusses various models of control systems and related tools for their analysis, including Lyapunov functions. Part II deals with the analysis and design of homogeneous control systems. Some of the "]
[{"$nulls":4},"key features of the text include: mathematical models of dynamical systems in finite-dimensional and infinite-dimensional spaces; the theory of linear dilations in Banach spaces; homogeneous control and estimation; simple methods for an \"upgrade\" of existing linear control laws; numerical schemes for a consistent digital implementation of homogeneous algorithms; and experiments confirming an improvement of PID controllers. The advanced mathematical material will be of interest to researchers, mathematicians working in control theory and mathematically oriented control engineers."]