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No. 36 (1988/09) >

Title :一次遅れ要素をもつLiénard形非線形システムの一般化リアプノフ関数
Title alternative :A Generalized Lyapunov Function for Liénard-Type Nonlinear System with First-order Lag Elements
Authors :宮城, 隼夫
大城, 健
山下, 勝巳
Authors alternative :Miyagi, Hayao
Ohshiro, Takeshi
Yamashita, Katsumi
Issue Date :Sep-1988
Abstract :In this paper, the direct method of Lyapunov is used to study the stability of a Liénard-type nonlinear system with first-order lag elements. To establish the procedure for constructing Lyapunov function, the system is rewritten by a transformation. Then, a stability criterion for the system, which introduces a new type Lyapunov function, is presented. While the positive matrix P appeared in the Lyapunov function is obtained by solving matrix equations, the possibility of existence of P is discussed from the point of view of the condition the Luré-type Lyapunov function for the well-known nonlinear feedback control systems exists.
Type Local :紀要論文
ISSN :0389-102X
Publisher :琉球大学工学部
URI :http://hdl.handle.net/20.500.12000/5548
Citation :琉球大学工学部紀要 no.36 p.81 -86
Appears in Collections:No. 36 (1988/09)

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