Abstract: This paper proposes sum-of-squares (SOS) methodologies for stability analysis and region-of-attraction (ROA) estimation for nonlinear systems represented by polynomial fuzzy models via ...

Abstract: Inspired by the idea of multiple Lyapunov functions (MLFs), we use piecewise continuous scalar functions to investigate the stabilizability of time-varying switched systems. Starting with ...

What began with a focus on weather forecasting has evolved toward addressing errors in scientific modeling. In the collaborative environment of the Penn State Institute for Computational and Data ...

An eGFR below 60 ml/min indicates possible kidney disease. High creatinine levels in the blood can suggest the kidneys are not working well. A urine albumin result higher than 30 mg/gram may be a sign ...

The course gives insight into theory and algorithms for fundamental mathematical problems associated with systems of equations, optimization, and approximation of functions. There are many ...

Neurons are cells that transmit electrical signals through the nervous system. Motor neurons control muscle activity and movement by carrying impulses from the brain and spinal cord. Sensory neurons ...

As North America's only dedicated Faculty of Math, we are nationally and internationally recognized as one of the top schools for Mathematics and Computer Science. With nearly $30 million in research ...