emgr - The Empirical Gramian Framework

System Gramian matrices are a well-known encoding for properties of input-output systems such as controllability, observability or minimality. These so-called system Gramians were developed in linear system theory for applications such as model order reduction of control systems. Empirical Gramian are an extension to the system Gramians for parametric and nonlinear systems as well as a data-driven method of computation. The empirical Gramian framework - emgr - implements the empirical Gramians in a uniform and configurable manner, with applications such as Gramian-based (nonlinear) model reduction, decentralized control, sensitivity analysis, parameter identification and combined state and parameter reduction

The Impact of Power Training on Balance and Visual Feedback Removal

Because power training has been known to augment stability, the purpose of this study was to assess whether the removal of visual input affects lower limb muscle power production in young women who are resistance trained to the same degree it affects the untrained. This provided insight as far as the need for resistance training protocols in a largely untrained visually impaired population. To study this, fourteen college-aged female participants (18-23 years) performed a seated double-leg press on a leg sled machine, isolating power production of the lower limbs. After establishing baselines, which involved finding an average of power produced during five trials, the subjects were asked to close their eyes for the following set of five pushes. The power production was assessed by utilizing a Tendo Unit, with placement on one of the limbs of the machine, to measure power output during leg extension (measured in Watts). Statistics analyzed in SPSS determined the average power deficit of the athletic population to be 11.57 Watts, whereas the general population had an average power deficit of 37.43 Watts. The deficits experienced by each respective group upon visual removal were significantly different from one another, as evidenced by a p-value of .048. This accentuated the power-trained group’s resilience. A suggested training plan regimen including cardiorespiratory, resistance, flexibility, and neuromotor exercises has been appended for persons experiencing visual impairment and seeking to better their balance through power