CAJ | 학술논문

针对随机噪声及时间滞后普遍存在于耦合网络，且其结构往往未知或部分未知问题，基于网络间随机广义投影滞后同步原理，通过合理设计控制器与自适应更新规则，构建辨识网络模型未知动力学参数及拓扑结构的识别方案；结合随机时滞微分方程LaSalle型不变性原理，从数学上严格证明识别方案的准确性。通过具体网络模型，借助计算仿真验证识别方案的有效性。数值模拟结果表明，网络未知动力学参数及拓扑结构不但能准确辨识，且识别方案不依赖耦合时滞、更新增益及网络拓扑结构等选取。
침대수궤조성급시간체후보편존재우우합망락，차기결구왕왕미지혹부분미지문제，기우망락간수궤엄의투영체후동보원리，통과합리설계공제기여자괄응경신규칙，구건변식망락모형미지동역학삼수급탁복결구적식별방안；결합수궤시체미분방정LaSalle형불변성원리，종수학상엄격증명식별방안적준학성。통과구체망락모형，차조계산방진험증식별방안적유효성。수치모의결과표명，망락미지동역학삼수급탁복결구불단능준학변식，차식별방안불의뢰우합시체、경신증익급망락탁복결구등선취。
Notingthattherandomnoiseandtimedelayareprevalentincomplexnetworksandthetopologyofa network is often unknown or partially unknown, based on the principle of random generalized projective lag synchronization,an approach was proposed to estimate the system parameters and topological structure of delay-coupled complex networks under circumstance noise.By constructing an appropriate controller and adaptive updating rules,the unknown network parameters and topological structure of the concerned networks were identified simultaneously.The accuracy of the method was rigorously proved by the LaSalle-type theorem for stochastic differential delay equations.An example of network with chaotic oscillator was provided to illustrate the method.The numerical results indicate that the unknown network parameters and topological structure can be accurately identified,and yet the proposed method is robust against the time delay,the update gain and the network topology.