Title :
Bounds of the induced norm and model reduction errors for a class of nonlinear systems
Author :
Chu, Yun-Chung ; Glover, Keith
Author_Institution :
Dept. of Eng., Cambridge Univ., UK
Abstract :
The class of nonlinear systems described by a discrete-time state equation containing a diagonal nonlinear term as in recurrent neural networks is considered. Sufficient conditions are derived for the stability and induced norm of such systems using positive definite diagonally dominant Lyapunov functions or storage functions, satisfying appropriate linear matrix inequalities. Preliminary results are also presented for model reduction errors for such systems
Keywords :
asymptotic stability; discrete time systems; matrix algebra; nonlinear systems; recurrent neural nets; reduced order systems; discrete-time state equation; induced norm; linear matrix inequalities; model reduction errors; nonlinear systems; positive definite diagonally dominant Lyapunov functions; recurrent neural networks; stability; storage functions; Artificial neural networks; Linear matrix inequalities; Lyapunov method; Neural networks; Nonlinear equations; Nonlinear systems; Recurrent neural networks; Reduced order systems; Stability; Student awards;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.577462
