空军工程大学学报（自然科学版）
空軍工程大學學報（自然科學版）
공군공정대학학보（자연과학판）
Journal of Air Force Engineering University (Natural Science Edition)
2015年
5期
52-55
,共4页
混沌同步%Lorenz系统%单一耦合%充分条件
混沌同步%Lorenz繫統%單一耦閤%充分條件
혼돈동보%Lorenz계통%단일우합%충분조건
chaotic synchronization%Lorenz systems%single coupling method%sufficient condition
针对耦合同步法中如何确定耦合强度的问题，提出了 Lorenz 系统单一耦合同步定理。在单向耦合同步基础上进行改进，减少状态变量耦合数目，提出了单一耦合同步方法；利用Lyapunov 稳定性理论及 Routh??Hurwitz 判据，通过判定误差系统系数矩阵的特征值符号，推导了同步误差渐进稳定时耦合系数需满足的充分条件；仿真验证了该定理的正确性和有效性，表明了该定理下的单一耦合同步具有良好的抗干扰能力。
針對耦閤同步法中如何確定耦閤彊度的問題，提齣瞭 Lorenz 繫統單一耦閤同步定理。在單嚮耦閤同步基礎上進行改進，減少狀態變量耦閤數目，提齣瞭單一耦閤同步方法；利用Lyapunov 穩定性理論及 Routh??Hurwitz 判據，通過判定誤差繫統繫數矩陣的特徵值符號，推導瞭同步誤差漸進穩定時耦閤繫數需滿足的充分條件；倣真驗證瞭該定理的正確性和有效性，錶明瞭該定理下的單一耦閤同步具有良好的抗榦擾能力。
침대우합동보법중여하학정우합강도적문제，제출료 Lorenz 계통단일우합동보정리。재단향우합동보기출상진행개진，감소상태변량우합수목，제출료단일우합동보방법；이용Lyapunov 은정성이론급 Routh??Hurwitz 판거，통과판정오차계통계수구진적특정치부호，추도료동보오차점진은정시우합계수수만족적충분조건；방진험증료해정리적정학성화유효성，표명료해정리하적단일우합동보구유량호적항간우능력。
In order to solve the problem of how to determine the coupling strength in coupling synchroniza-tion method,a theorem of single coupling method between Lorenz systems is proposed.First,by reducing the number of state variables,an improved synchronization method named,i.e.single coupling method,is proposed on the basis of the unidirectional coupling synchronization Then,in accordance with stability the-ory and Routh-Hurwitz criterion,by detecting the signs of characteristic values reduced from the Jacobi matrix of error system,full conditions are derived for satisfying the coupling coefficient in error gradually stabilizing error at zero.Consequently,a sufficient condition of single coupling synchronization is sup-posed.Last,the simulation results verify the correctness and effectiveness of the sufficient conditions,and the anti-interference performance is good.
