Open access peer-reviewed Edited Volume

Nonlinear Systems

Design, Analysis, Estimation and Control

Edited by Dongbin Lee

Oregon Institute of Technology, United States of America


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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Nonlinear SystemsDesign, Analysis, Estimation and ControlEdited by Dongbin Lee

Published: October 19th 2016

DOI: 10.5772/61494

ISBN: 978-953-51-2715-4

Print ISBN: 978-953-51-2714-7

eBook (PDF) ISBN: 978-953-51-4173-0

Copyright year: 2016

Books open for chapter submissions

20276 Total Chapter Downloads

14 Crossref Citations

19 Web of Science Citations

22 Dimensions Citations


Open access peer-reviewed

1. Solving Nonlinear Parabolic Partial Differential Equations Using Multidomain Bivariate Spectral Collocation Method

By Motsa Sandile Sydney, Samuel Felix Mutua and Shateyi Stanford


Open access peer-reviewed

2. Feedback and Partial Feedback Linearization of Nonlinear Systems: A Tribute to the Elders

By Issa Amadou Tall


Open access peer-reviewed

3. Analyzing Quantum Time‐Dependent Singular Potential Systems in One Dimension

By Salah Menouar and Jeong Ryeol Choi


Open access peer-reviewed

4. Smoothing Solution for Discrete-Time Nonlinear Stochastic Optimal Control Problem with Model-Reality Differences

By Sie Long Kek, Kok Lay Teo and Mohd Ismail Abd Aziz


Open access peer-reviewed

5. Design, Analysis, and Applications of Iterative Methods for Solving Nonlinear Systems

By Alicia Cordero, Juan R. Torregrosa and Maria P. Vassileva


Open access peer-reviewed

6. Nonlinear State and Parameter Estimation Using Iterated Sigma Point Kalman Filter: Comparative Studies

By Marwa Chaabane, Imen Baklouti, Majdi Mansouri, Nouha Jaoua, Hazem Nounou, Mohamed Nounou, Ahmed Ben Hamida and Marie‐France Destain


Open access peer-reviewed

7. An Introduction to Ensemble-Based Data Assimilation Method in the Earth Sciences

By Youmin Tang, Zheqi Shen and Yanqiu Gao


Open access peer-reviewed

8. Conditions for Optimality of Singular Controls in Dynamic Systems with Retarded Control

By Misir J. Mardanov and Telman K. Melikov


Open access peer-reviewed

9. Simultaneous H ∞ Control for a Collection of Nonlinear Systems in Strict-Feedback Form

By Jenq-Lang Wu, Chee-Fai Yung and Tsu-Tian Lee


Open access peer-reviewed

10. Nonlinear Feedback Control of Underactuated Mechanical Systems

By Le Anh Tuan and Soon-Geul Lee


Open access peer-reviewed

11. Nonlinear Cascade-Based Control for a Twin Rotor MIMO System

By Lidia María Belmonte, Rafael Morales, Antonio Fernández- Caballero and José Andrés Somolinos


Open access peer-reviewed

12. Synchronization Phenomena in Coupled Birkhoff-Shaw Chaotic Systems Using Nonlinear Controllers

By Christos K. Volos, Hector E. Nistazakis, Ioannis M. Kyprianidis, Ioannis N. Stouboulos and George S. Tombras


Open access peer-reviewed

13. Design of Dynamic Output Feedback Laws Based on Sums of Squares of Polynomials

By Kenta Hoshino, Daisuke Sonoda and Jun Yoneyama


Open access peer-reviewed

14. Could the Stock Return be a Leading Indicator of the Economic Growth in the Depression? Analysis Based on Nonlinear Dynamic Panel Model

By Lee Yuan-Ming and Wang Kuan-Min


Edited Volume and chapters are indexed in

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