网络安全技术与应用
網絡安全技術與應用
망락안전기술여응용
NETWORK SECURITY TECHNOLOGIES & APPLICATION
2012年
9期
56-59
,共4页
时滞投影神经网络%二次规划%Gronwall不等式%Halanay不等式%全局指数稳定性
時滯投影神經網絡%二次規劃%Gronwall不等式%Halanay不等式%全跼指數穩定性
시체투영신경망락%이차규화%Gronwall불등식%Halanay불등식%전국지수은정성
Delayed projectiOn neural network%Quadratic programming%Gronwall inequality%Haianay inequality%Globally exponential stabilit
本文针对求解有等式约束的二次规划问题的时滞投影神经网络,提出一种所有神经元皆存在时滞情况的新型网络模型。利用Gronwall不等式和Halanay不等式,严格证明了所提网络模型的全局指数稳定性。研究结果表明,所提网络模型的解能够渐进收敛于原问题的最优解,具有计算迅速和精度较高等特点。数值仿真结果验证了所提网络模型的可行性与有效性。
本文針對求解有等式約束的二次規劃問題的時滯投影神經網絡,提齣一種所有神經元皆存在時滯情況的新型網絡模型。利用Gronwall不等式和Halanay不等式,嚴格證明瞭所提網絡模型的全跼指數穩定性。研究結果錶明,所提網絡模型的解能夠漸進收斂于原問題的最優解,具有計算迅速和精度較高等特點。數值倣真結果驗證瞭所提網絡模型的可行性與有效性。
본문침대구해유등식약속적이차규화문제적시체투영신경망락,제출일충소유신경원개존재시체정황적신형망락모형。이용Gronwall불등식화Halanay불등식,엄격증명료소제망락모형적전국지수은정성。연구결과표명,소제망락모형적해능구점진수렴우원문제적최우해,구유계산신속화정도교고등특점。수치방진결과험증료소제망락모형적가행성여유효성。
in view of delayed projection neural network used for sotving quadratic programming problems with equality constraints, a novet delayed projection neural network with time delay in all the neurons is proposed in this paper. Based on the Gronwall inequality and the Halanay inecluality, it is strictly proved that the model is globally exponential convergent. Moreover, the .research. shows that it can asymptotically converge to an exact optimal solution, which is faster in computation and of high accuracy. Simulation results demonstrate the feasibility and effectiveness of the model.