Title :
Existence and global exponential stability of periodic solutions of cellular neural networks with time-varying delays and impulses
Author :
Wu, Chunxue ; Shi, Bao
Author_Institution :
Inst. of Appl. Math., Naval Aeronaut. & Astronaut. Univ., Yantai, China
Abstract :
By using the continuation theorem of Mawhin´s coincidence degree theory and constructing Lyapunov functions, sufficient conditions are obtained for the existence and globally exponential stability of periodic solution of cellular neural networks with variable delays and impulses.
Keywords :
Lyapunov methods; asymptotic stability; cellular neural nets; continuous systems; delays; time-varying systems; Lyapunov functions; Mawhin coincidence degree theory; cellular neural network; continuation theorem; global exponential stability; time varying delay; Artificial neural networks; Cellular neural networks; Circuit stability; Delay; Equations; Indexes; Stability analysis;
Conference_Titel :
Natural Computation (ICNC), 2010 Sixth International Conference on
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-5958-2
DOI :
10.1109/ICNC.2010.5583202
