Stability properties (uniform stability/uniform asymptotic stability) of nonlinear time-varying systems are explored using positive semi-definite time-varying Lyapunov candidates whose derivative along trajectories is either non-positive or negative semi-definite. Once these positive semi-definite time-varying Lyapunov candidates are available, conditional stability properties on some specific ...

Stability analysis of the BDF slowest first multirate methods This paper deals with the stability analysis of the BDF Slowest first multirate time-integration methods which are applied to the transient analysis of circuit models. From an asymptotic analysis it appears that these methods are indeed stable if the subsystems are stable and weakly coupled. Index 1. Introduction 1.1. Partition of th...