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＜電子ブック＞
Absolute Stability of Nonlinear Control Systems / by Xiao-Xin Liao
(Mathematics and its Applications, Chinese Series ; 5)

版	1st ed. 1993.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	1993
本文言語	英語
大きさ	X, 178 p : online resource
著者標目	*Liao, Xiao-Xin author SpringerLink (Online service)
件　名	LCSH:System theory LCSH:Control theory LCSH:Mechanical engineering LCSH:Difference equations LCSH:Functional equations FREE:Systems Theory, Control FREE:Mechanical Engineering FREE:Difference and Functional Equations
一般注記	1. Principal Theorems on Global Stability -- 2. Autonomous Control Systems -- 3. Special Control Systems -- 4. Nonautonomous and Discrete Control Systems -- 5. Control Systems with m Nonlinear Control Terms -- 6. Control Systems Described by FDE -- Biblogaphy 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 HTTP:URL=https://doi.org/10.1007/978-94-017-0608-7

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