The asymptotic stability of nonlinear (Lur'e) systems with multiple slope restrictions

Abstract

In this paper, the authors present the analysis of the asymptotic stability of multiple slope-restricted nonlinear (Lur'e) systems. By providing a Lyapunov function, they obtain a matrix-language criterion in terms of algebraic Riccati equations and linear matrix inequalities, which are discussed at the point of computational issues. Additionally, they consider the frequency-domain interpretation of the result.