title: Second-order bounds on the domain of attraction and the rate of convergence of nonlinear dynamical systems and neural networks.
abstract: We present a method for analyzing the convergence properties of nonlinear dynamical systems yielding second-order bounds on the domain of attraction of an asymptotically stable equilibrium point and on the time of convergence in the estimated domain. We show that under certain conditions on the system, there exists an analytic solution to the corresponding optimization problem. The method is applied in analyzing the dynamics of a neural network model.
authors.affiliation: Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa.
authors.forename: N
authors.initials: N
authors.lastname: Peterfreund
authors.forename: Y
authors.initials: Y
authors.lastname: Baram