Remarks on stability results for the solutions of certain fourth-order autonomous differential equations

被引:13
作者
Wu, X [1 ]
Xiong, K [1 ]
机构
[1] Claremont Grad Sch, Dept Math, Claremont, CA 91711 USA
关键词
D O I
10.1080/002071798222893
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The stability of solutions for certain fourth-order autonomous differential equations is discussed. We give some remarks on the results of Chin (1989) and Ku (1964). Furthermore, some new criteria for local asymptotic stability are presented.
引用
收藏
页码:353 / 360
页数:8
相关论文
共 5 条
[1]  
[Anonymous], 1956, Q J MECH APPL MATH, DOI DOI 10.1093/QJMAM/9.2.185
[2]   EXTENSION TO THE INTRINSIC METHOD AND ITS APPLICATION TO STABILITY PROBLEMS [J].
CHIN, PSM .
INTERNATIONAL JOURNAL OF CONTROL, 1988, 48 (05) :2139-2146
[3]  
CHIN PSM, 1989, INT J CONTROL, V49, P1163, DOI 10.1080/00207178908559698
[4]   STABILITY OF NON-LINEAR SYSTEMS VIA THE INTRINSIC METHOD [J].
CHIN, PSM .
INTERNATIONAL JOURNAL OF CONTROL, 1988, 48 (04) :1561-1567
[5]   LYAPUNOV FUNCTION OF 4-ORDER SYSTEM [J].
KU, YH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1964, AC 9 (03) :276-&