Absolute Stability of Nonlinear Control Systems is popular PDF and ePub book, written by Xiao-Xin Liao in 2013-04-17, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Absolute Stability of Nonlinear Control Systems can be Read Online from any device for your convenience.
Absolute Stability of Nonlinear Control Systems Book PDF Summary
As is well-known, a control system always works under a variety of accidental or continued disturbances. Therefore, in designing and analysing the control system, stability is the first thing to be considered. Classic control theory was basically limited to a discussion of linear systems with constant coefficients. The fundamental tools for such studies were the Routh-Hurwitz algebraic criterion and the Nyquist geometric criterion. However, modern control theory mainly deals with nonlinear problems. The stability analysis of nonlinear control systems based on Liapunov stability theory can be traced back to the Russian school of stability. In 1944, the Russian mathematician Lurie, a specialist in control theory, discussed the stability of an autopilot. The well-known Lurie problem and the concept of absolute stability are presented, which is of universal significance both in theory and practice. Up until the end of the 1950's, the field of absolute stability was monopolized mainly by Russian scholars such as A. 1. Lurie, M. A. Aizeman, A. M. Letov and others. At the beginning of the 1960's, some famous American mathematicians such as J. P. LaSalle, S. Lefschetz and R. E. Kalman engaged themself in this field. Meanwhile, the Romanian scholar Popov presented a well-known frequency criterion and consequently ma de a decisive breakthrough in the study of absolute stability.
Detail Book of Absolute Stability of Nonlinear Control Systems PDF
- Author : Xiao-Xin Liao
- Release : 17 April 2013
- Publisher : Springer Science & Business Media
- ISBN : 9789401706087
- Genre : Science
- Total Page : 186 pages
- Language : English
- PDF File Size : 12,7 Mb
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