We describe a method to model nonlinear dynamical systems using periodic solutions of delay-differential equations. We show that any finitetime trajectory of a nonlinear dynamical system can be loaded approximately into the initial condition of a linear delay-differential system. It is further shown that the initial condition can be extended to a periodic solution of the delay-differential syst...

The problem of optimal approximate system identification is addressed with a newly defined measure of misfit between observed time series and linear time-invariant models. The behavioral framework is used as a suitable axiomatic setting for a oonparametric introduction of system complexity and a notion of misfit of dynamical systems which is independent of system representations. The misfit fun...

This paper constructs bounds on the minimax risk under loss functions when statistical estimation is performed in a distributed environment and with communication constraints. We treat this problem using techniques from information theory and communication complexity. In many cases our bounds rely crucially on metric entropy conditions and the classical reduction from estimation to testing. A n...

We study automated parameter searches on single neurons and two cell networks. In order to get round the effects of unknown initial conditions we focus on methods that are based on synchronization of the dynamical system to observed time series. The parameters are estimated with a slow dynamic equation that converges to the best value of the parameter. As this implementation does not require re...

in this paper, two sets of sufficient conditions are obtained to ensure the existence and stability of a unique equilibrium point of unforced first-order fuzzy relational dynamical systems by using two different approaches which are both based on the fuzzy relational matrix of the model.in the first approach, the equilibrium point of the system is one of the centers of the related membership fu...

Introduction: Sensorineural hearing loss (SNHL) is one of the possible complications of radiotherapy treatment of brain tumors. The auditory system of patients with brain tumors often is placed inside of radiation field and receives a significant amount of radiation dose resulting in hearing loss. The purpose of this study was to compare contouring and delivery dose to cochlea...

This paper is has addressed the Single Flexible Link Robot. The dynamical model is derived using Euler-Lagrange equation and then a proper controller is designed to suppress a  vibration based-on Input-Shaping (IS) method. But, IS control method is an open loop strategy. Due to the weakness of open loop control systems, a closed loop IS control system is proposed. The achieved closed loop c...