Lur’e systems with multilayer perceptron and recurrent neural networks: absolute stability and dissipativity. (English) Zbl 0958.93076

Suykens, J. A. K.; Vandewalle, J.; De Moor, B.

IEEE Trans. Autom. Control 44, No. 4, 770-774 (1999).

MSC:

93D10	Popov-type stability of feedback systems
92B20	Neural networks for/in biological studies, artificial life and related topics
93C10	Nonlinear systems in control theory
93B36	\(H^\infty\)-control

Keywords:

absolute stability; dissipativity; recurrent neural networks; Lur’e system; multilayer perceptron nonlinearity; matrix inequalities; nonlinear \(H_\infty\) control