Revisited criteria for absolute stability of systems with state-dependent nonlinearities

This paper is concerned with the problem of absolute stability of systems with sector-bounded state-dependent nonlinearities. Using a Lure function as a Lyapunov function, a linear matrix inequalities (LMI) stability condition is derived. Comparing with the results available in the literature, the proposed stability condition further reduces the conservatism by relaxing some restrictions of the Lure function, as is illustrated by a numerical example. In addition, frequency-domain interpretation of the feasibility of the LMI is deduced by using the KYP Lemma.