·310· 北京科技大学学报 1998华第3期： r,=r(A4CmC)=5.7063. 54.9999<rR=r4,A,CmCa)K55.5555. 最后令扰动矩阵4中的元素为6，=0，δ=-25,6，=20.0=30.则‖△‖=42.2485 <"r由△扰动的Chua电路的轨道收敛于一个极限环（见图2(b).这似说明本文提出的稳定 性半径公式将有助于定量地研究2维PLD、的动力学性质 注将(15)和(16)记作X《)=().第一作者新证明了下述结论： (I)()满足Lipschitz条件.即存在常数L>0,使得对任意的X,YeR有 ()-)I‖≤LlX-l (2)存在常数0，使得对任意的X∈R有 )川<WlXI (3)对任意的1∈(-文，文)与X,ER,Cua电路的状态方程(15)~(16)有唯一解)使得 1)=X,且所有解的存在区间为（一文，）.其中有一个解为极限环 参考文献 I Chua L O.Chua's Circuit:An Overview Ten Yers Later.J Circuits Syst Comput.1994(4):117 2 Shil'nikov L P.Chua's Circuit Rigorous Results and Future Problons.Int J Bilur Chaos,1994(4):489 3 Kennedy M P.Three Steps to Chaos-Part I:Evolution.IEEE Trans Circuits Syst.1993.40:640 4 Hinricheson D.Pritchard A J.Stability Radii of Linear System.Syst Cont Lett,1986.7:I Stability Radii of 2-Dimensional Chua's Circuit Min Lequan Song Ning Applied Science School,UST Beijing,Beijing 100083.China ABSTRACT The concepts of stability radii of 2-dimensional (2D)Chua's circuit are introduced.One Chua's circiut with a limit cycle was stimulated via computer and corre- sponding stability radii were calculated.The existence and uniqueness of the solution of 2D Chua's circuit are pointed out. K EY WORDS Chua's circuit;stability radii;existence:uniqueness