湖南文理学院学报(自然科学版)
湖南文理學院學報(自然科學版)
호남문이학원학보(자연과학판)
JOURNAL OF HUNAN UNIVERSITY OF ARTS AND SCIENCE(NATURAL SCIENCE EDITION)
2013年
1期
1-4
,共4页
李雅普诺夫函数%广义霍维茨条件%非线性系统%线性系统
李雅普諾伕函數%廣義霍維茨條件%非線性繫統%線性繫統
리아보낙부함수%엄의곽유자조건%비선성계통%선성계통
Lyapunov function%generalized Hurwitz condition%nonlinear system%linear system
给出了关于李雅普诺夫函数的3个定义和3个定理,举例说明了所得定义和定理的应用,并给出了利用广义霍维茨条件构造非线性系统李雅普诺夫函数的“三步法”.
給齣瞭關于李雅普諾伕函數的3箇定義和3箇定理,舉例說明瞭所得定義和定理的應用,併給齣瞭利用廣義霍維茨條件構造非線性繫統李雅普諾伕函數的“三步法”.
급출료관우리아보낙부함수적3개정의화3개정리,거례설명료소득정의화정리적응용,병급출료이용엄의곽유자조건구조비선성계통리아보낙부함수적“삼보법”.
Three definitions and three theorems of Lyapunov function were put forward, and then these definitions and theorems were illustrated with some examples. Finally, under the generalized Hurwitz condition, the "three-step method" was put forward to construct Lyapunov function of nonlinear system.
