广西师范学院学报(自然科学版)
廣西師範學院學報(自然科學版)
엄서사범학원학보(자연과학판)
JOURNAL OF GUANGXI TEACHERS COLLEGE(NATURAL SCIENCE EDITION)
2012年
4期
29-33
,共5页
高晓然%王汝凉%张晶晶%李 杰%张珊珊
高曉然%王汝涼%張晶晶%李 傑%張珊珊
고효연%왕여량%장정정%리 걸%장산산
非线性时滞系统%Lyapunov泛函%LMI%神经网络%鲁棒稳定
非線性時滯繫統%Lyapunov汎函%LMI%神經網絡%魯棒穩定
비선성시체계통%Lyapunov범함%LMI%신경망락%로봉은정
nonlinear%time-varying delay system%Lyapunov function%LMI%neural network%robust stabling
针对一类时变时滞非线性神经网络系统,首先运用神经网络逼近非线性函数,然后构造Lyapunov泛函,给出状态反馈控制律,以线性矩阵不等式的形式给出了系统渐近稳定的充分条件,并讨论了系统的鲁棒稳定性.最后,用数值算例说明了结果的正确性和可行性.
針對一類時變時滯非線性神經網絡繫統,首先運用神經網絡逼近非線性函數,然後構造Lyapunov汎函,給齣狀態反饋控製律,以線性矩陣不等式的形式給齣瞭繫統漸近穩定的充分條件,併討論瞭繫統的魯棒穩定性.最後,用數值算例說明瞭結果的正確性和可行性.
침대일류시변시체비선성신경망락계통,수선운용신경망락핍근비선성함수,연후구조Lyapunov범함,급출상태반궤공제률,이선성구진불등식적형식급출료계통점근은정적충분조건,병토론료계통적로봉은정성.최후,용수치산례설명료결과적정학성화가행성.
@@@@For a class of time-varying delay nonlinear neural network system ,first by neural network approximation nonlinear function ,through the transformation and then by means of Lyapunov function , the state feedback control law is given ,and with linear matrix inequalities gives the sufficient con-ditions of the system that is asymptotically stable is given ,and the system robust stability is discussed ,which satisfies a prescribed H∞ noim-bounded .In the end ,a numerical example illustrates the feasibility and correct-ness of the proposed method .