In studies of perturbation dynamics in physical systems certain specification of the governing perturbation dynamical system is generally lacking, either because the perturbation system is imperfectly known or because its specification is intrinsically uncertain, while a statistical characterization of the perturbation dynamical system is often available. In this report exact and asymptotically...

Modeling the structure of biological molecules is critical for understanding how these structures perform their function, and for designing compounds to modify or enhance this function (for medicinal or industrial purposes). The determination of molecular structure involves defining three-dimensional positions for each of the constituent atoms using a variety of experimental, theoretical and em...

Because of electricity subsidies, electricity price in Iran is much lower than its real value, and the growth of electricity demand is much more than its rational rate, which in turn implies ever increasing investment in the electricity section by the Government. Therefore, the recent Government policies are based on elimination of electricity subsidies, followed by commissioning complete elect...

The three-variable autocatalator exhibits chaotic dynamics in an open system configuration. When the model is modified to include a dissociation reaction of the autocatalytic species, B!X+Y, followed by a recombination reaction, X+Y!C, an unusual sensitivity to initial conditions is displayed. The modified system exhibits an effectively infinite number of asymptotic attractors, some chaotic, so...

In this study, the altitude and yaw angle tracking is considered for a scale model helicopter, mounted on an experimental platform, in the presence of model uncertainties, which may be caused by unmodelled dynamics, or aerodynamical disturbances from the environment. To deal with the uncertainties, approximation-based techniques using neural network (NN) are proposed. In particular, two differe...

Uncertainty theory is a mathematical methodology for dealing withnon-determinate phenomena in nature. As we all know, uncertainprocess and uncertain integral are important contents of uncertaintytheory, so it is necessary to have deep research. This paperpresents the definition and discusses some properties of strongcomonotonic uncertain process. Besides, some useful formulas ofuncertain integr...

In this paper we apply retrospective cost model refinement (RCMR) to parameter estimation. To gain insight into the accuracy and speed of convergence of the RCMR estimates, we consider aircraft dynamics with uncertain entries in the dynamics and input matrices. We consider scenarios that include multiple uncertain parameters, alternative measurements, and sensor noise. All of the examples are d...