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Stability of Dynamical Systems
1st Edition, Volume 5 - August 1, 2007
Authors: Xiaoxin Liao, L.Q. Wang, P. Yu
Language: English
Hardback ISBN:9780444531100
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eBook ISBN:9780080550619
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The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity. It has been and still is the object of…Read more
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The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity. It has been and still is the object of intense investigations due to its intrinsic interest and its relevance to all practical systems in engineering, finance, natural science and social science. This monograph provides some state-of-the-art expositions of major advances in fundamental stability theories and methods for dynamic systems of ODE and DDE types and in limit cycle, normal form and Hopf bifurcation control of nonlinear dynamic systems.
Presents comprehensive theory and methodology of stability analysis
Can be used as textbook for graduate students in applied mathematics, mechanics, control theory, theoretical physics, mathematical biology, information theory, scientific computation
Serves as a comprehensive handbook of stability theory for practicing aerospace, control, mechanical, structural, naval and civil engineers
Graduate students in applied mathematics, mechanics, control theory, theoretical physics, mathematical biology, information theory, and scientific computation; Comprehensive handbook of stability theory for practicing aerospace, control, mechanical, structural, naval and civil engineers
1. Fundamental Concepts and Mathematical Tools2. Linear Systems with Constant Coefficients3. Time-Varying Linear Systems4. Lyapunov Direct Method5. Development of Lyapunov Direct Method6. Nonlinear Systems with Separate Variables7. Iteration Method for Stability8. Dynamical Systems with Time Delay9. Absolute Stability of Nonlinear Control Systems10. Stability of Neural Networks11. Limit Cycle, Normal Form and Hopf Bifurcation Control
No. of pages: 718
Language: English
Edition: 1
Volume: 5
Published: August 1, 2007
Imprint: Elsevier Science
Hardback ISBN: 9780444531100
eBook ISBN: 9780080550619
XL
Xiaoxin Liao
Affiliations and expertise
Huazhong University of Science and Technology, Wuhan, China
LW
L.Q. Wang
Affiliations and expertise
The University of Hong Kong, Hong Kong
PY
P. Yu
Affiliations and expertise
The University of Western Ontario, London, Ontario, Canada
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