Title :
Passivity of Switched Recurrent Neural Networks With Time-Varying Delays
Author :
Jie Lian ; Jun Wang
Author_Institution :
Sch. of Control Sci. & Eng., Dalian Univ. of Technol., Dalian, China
Abstract :
This paper is concerned with the passivity analysis for switched neural networks subject to stochastic disturbances and time-varying delays. First, using the multiple Lyapunov functions method, a state-dependent switching law is designed to present a stochastic passivity condition. Second, a hysteresis switching law involving both the current state and the previous value of the switching signal are presented to avoid chattering resulted from the state-dependent switching. Third, based on the average dwell-time approach, a class of switching signals is determined to guarantee the switched neural network stochastically passive. Finally, three numerical examples are provided to illustrate the characteristics of three proposed switching laws.
Keywords :
Lyapunov methods; delays; neurocontrollers; recurrent neural nets; time-varying systems; Lyapunov functions method; average dwell-time approach; hysteresis switching law; state-dependent switching law design; stochastic disturbances; stochastic passivity condition; switched recurrent neural network passivity; switching signal; time-varying delays; Biological neural networks; Delays; Hysteresis; Lyapunov methods; Switches; Symmetric matrices; Average dwell time; hysteresis switching law; passivity; switched neural networks; switched neural networks.;
Journal_Title :
Neural Networks and Learning Systems, IEEE Transactions on
DOI :
10.1109/TNNLS.2014.2379920