非自治广义Birkhoff系统的半负定矩阵梯度系统表示  

A semi-negative definite matrix gradient system representation for non-autonomous generalized Birkhoff system

作　　者：王嘉航[1,2] 张毅[1] WANG Jiahang;ZHANG Yi(College of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215011,China;College of Civil and Transportation Engineering,Hohai University,Nanjinng 210098,china)

机构地区：[1]苏州科技大学土木工程学院,江苏苏州215011 [2]河海大学土木与交通学院,江苏南京210098

出　　处：《中山大学学报（自然科学版）》2018年第3期60-63,共4页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金(10972151;11272227);苏州科技大学科研基金(XKZ2017005)

摘　　要：研究非自治广义Birkhoff系统的半负定矩阵梯度系统表示。给出了非自治广义Birkhoff系统成为半负定矩阵梯度系统的条件,利用半负定矩阵梯度系统的性质来研究解的稳定性。举例说明结果的应用。A semi-negative definite matrix gradient system representation for a type non-autonomous Birkhoff system is studied. The condition under which a non-autonomous generalized Birkhoff system can be considered as semi-negative definite matrix gradient system is obtained. The of semi-negative definite matrix gradient system is then used to study the stability of non-Birkhoff system. Examples have been given to illustrate the applications of the results.

关 键 词：非自治广义Brkhoff系统 半负定矩阵梯度系统 稳定性 

分 类 号：O316[理学—一般力学与力学基础]