Nonlinear Systems

The book consists mainly of two parts: Chapter 1 - Chapter 7 and Chapter 8 - Chapter 14. Chapter 1 and Chapter 2 treat design techniques based on linearization of nonlinear systems. An analysis of nonlinear system over quantum mechanics is discussed in Chapter 3. Chapter 4 to Chapter 7 are estimatio...

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Язык:английский
Опубликовано: IntechOpen 2023
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Online-ссылка:ONIX_20231201_9789535127154_506
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collection Directory of Open Access Books
description The book consists mainly of two parts: Chapter 1 - Chapter 7 and Chapter 8 - Chapter 14. Chapter 1 and Chapter 2 treat design techniques based on linearization of nonlinear systems. An analysis of nonlinear system over quantum mechanics is discussed in Chapter 3. Chapter 4 to Chapter 7 are estimation methods using Kalman filtering while solving nonlinear control systems using iterative approach. Optimal approaches are discussed in Chapter 8 with retarded control of nonlinear system in singular situation, and Chapter 9 extends optimal theory to H-infinity control for a nonlinear control system.Chapters 10 and 11 present the control of nonlinear dynamic systems, twin-rotor helicopter and 3D crane system, which are both underactuated, cascaded dynamic systems. Chapter 12 applies controls to antisynchronization/synchronization in the chaotic models based on Lyapunov exponent theorem, and Chapter 13 discusses developed stability analytic approaches in terms of Lyapunov stability. The analysis of economic activities, especially the relationship between stock return and economic growth, is presented in Chapter 14.
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publishDate 2023
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spelling doab-20.500.12854ir-1293972024-04-05T12:38:18Z Nonlinear Systems Lee, Dongbin Burg, Tim Volos, Christos kalman filter, economic growth, optimal control, data assimilation, parameter estimation, schrödinger equation thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics The book consists mainly of two parts: Chapter 1 - Chapter 7 and Chapter 8 - Chapter 14. Chapter 1 and Chapter 2 treat design techniques based on linearization of nonlinear systems. An analysis of nonlinear system over quantum mechanics is discussed in Chapter 3. Chapter 4 to Chapter 7 are estimation methods using Kalman filtering while solving nonlinear control systems using iterative approach. Optimal approaches are discussed in Chapter 8 with retarded control of nonlinear system in singular situation, and Chapter 9 extends optimal theory to H-infinity control for a nonlinear control system.Chapters 10 and 11 present the control of nonlinear dynamic systems, twin-rotor helicopter and 3D crane system, which are both underactuated, cascaded dynamic systems. Chapter 12 applies controls to antisynchronization/synchronization in the chaotic models based on Lyapunov exponent theorem, and Chapter 13 discusses developed stability analytic approaches in terms of Lyapunov stability. The analysis of economic activities, especially the relationship between stock return and economic growth, is presented in Chapter 14. 2023-12-01T15:21:21Z 2023-12-01T15:21:21Z 2016 book ONIX_20231201_9789535127154_506 9789535127154 9789535127147 9789535141730 https://directory.doabooks.org/handle/20.500.12854/129397 eng image/jpeg n/a https://www.intechopen.com/books/5192 https://mts.intechopen.com/storage/books/5192/authors_book/authors_book.pdf IntechOpen IntechOpen 10.5772/61494 10.5772/61494 78a36484-2c0c-47cb-ad67-2b9f5cd4a8f6 9789535127154 9789535127147 9789535141730 IntechOpen 364 open access
spellingShingle kalman filter, economic growth, optimal control, data assimilation, parameter estimation, schrödinger equation
thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics
Nonlinear Systems
title Nonlinear Systems
title_full Nonlinear Systems
title_fullStr Nonlinear Systems
title_full_unstemmed Nonlinear Systems
title_short Nonlinear Systems
title_sort nonlinear systems
topic kalman filter, economic growth, optimal control, data assimilation, parameter estimation, schrödinger equation
thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics
topic_facet kalman filter, economic growth, optimal control, data assimilation, parameter estimation, schrödinger equation
thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics
url ONIX_20231201_9789535127154_506