This work investigates the effects of uncertainties in a chaotic system. It continues the work of a previous paper in which an uncertain regression model was used to represent a nonlinear system capable of bifurcation. In this case, the two-dimensional Henon map is studied. A possibilistic uncertainty modelling approach is used to estimate the system response subject to uncertain inputs and par...

this paper addresses a nonlinear observer based control scheme to synchronize chaotic systems subject to uncertainties and external disturbances. it is assumed that the dynamic of slave system is not completely known. in order to compensate for the system perturbation resulting from parameter variations and mismodeling phenomena, an adaptive neural network observer is employed to handle this pr...

Uncertain hypothesis test is a statistical tool that uses uncertainty theory to determine whether some hypotheses are correct or not based on observed data. As an application of uncertain test, this paper proposes method differential equation fits the data not. In order demonstrate method, numerical examples provided. Finally, both currency model and stochastic used US Dollar Chinese Yuan (USD–...

We first discuss conditions for stability for uncertain max-plus-linear systems and for uncertain switching max-plus-linear systems, where in the uncertainty description the system matrices live in a union of polyhedra. Based on the newly derived stability conditions, a stabilizing model predictive controller is derived for both uncertain max-plus-linear systems and uncertain switching max-plus...

under the smart grid environments, demand response resources (drrs) as power system resources can effectively participate in and improve performance of electric systems. congestion management is one of the technical challenges in which drrs can play a significant role. previously, congestion management is applied without considering the power system uncertainties. therefore, a stochastic conges...