一致稳定合作系统的全局稳定性  

Global Stability for Uniformly Stable Cooperative Systems

作　　者：屠彩凤[1] 

机构地区：[1]中国科学技术大学数学系,合肥230026

出　　处：《数学学报（中文版）》1999年第2期369-376,共8页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金

摘　　要：本文讨论了一类合作系统的解的收敛性.其基本假设是Jacobi矩阵在中一致稳定．在这个假设下，我们对这类系统给出了完整的全局性态．本文的主要结果如下：如果系统有一个正平衡点，那么它在Int中全局渐近稳定,并给出了系统的非负平衡点全局渐近稳定的充分必要条件．In this paper, the convergence of solutions of cooperative systems is studied.The basic assumption is that the Jacobian matrices are uniformly stable in Withthis assumption, we provide the complete classification on the global behavior of suchsystems. The main results are the following. If the system has a positive steadystate then it is globally asymptotically stable in Int A sufficient and necessarycondition for a nonnegative steady state of the system to be globally asymptoticallystable is presented.

关 键 词：合作系统 全局稳定性 动力系数 解 收敛性 

分 类 号：O175.1[理学—数学]