Variational Lyapunov method for discrete hybrid systems
In this paper, we consider the difference equation Deltay(n) = f(n, y), y(n(0)) = x(0). We relax the smoothness condition on f with respect to y that was imposed in [1] and obtain an improved version of the nonlinear variation of parameter (NVP) formula. We then develop a variational Lyapunov method (VLM) for difference equations and apply it to discrete hybrid systems. (C) 2003 Elsevier Science Ltd. All rights reserved.
variational lyapunov method hybrid systems difference equations nonlinear variation of parameters