一類非線性自治大系統的全局穩定性
On Uniformly Asymptotic Stability in the Large to the Non-Linear Autonomous Large-Scale Systems
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摘要: 本文研究非線性自治大系統
\frac\rmd\rmx_\rmi\rmdt=\sum\limits_\rmi=1^\rmr \rmf_\rmij(\rmxj)(\rmi=1, \ldots,\rmr)
這里,xi∈Rni,fij∈C(Rnj,Rni,fij(o)=0,得到保證其零解為全局一致漸近穩定的充分條件(見定理1)。Abstract: Let fij (i, j=1, 2……, r) are continuous, the autonomous nom-lineararge-scale system with equatiom
\frac\rmd\rmx_\rmi\rmdt=\sum\limits_\rmi=1^\rmr \rmf_\rmij(\rmxj)(\rmi=1, \ldots,\rmr)
are considered,where Xi is ni vectors and, assume it has a null solution. Some rather well conditions,under which the null solution of above system is uniformly asymptotically stable in the large,is obtained
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