Riesz-Thorin theorem and \(l_ p\)-stability of nonlinear time-varying discrete systems
The paper deals with some new conditions, more general than those in the literature, for the \(\ell_ p\)-stability \((1\leq p<\infty)\) of a class of nonlinear time-varying discrete systems represented by a time-invariant linear discrete part \({\mathfrak G}\) in feedback with a discrete nonlinear time-varying gain \(k(n)\phi(\cdot)\).
scientific article; zbMATH DE number 4083510