Abstract: We introduce an algorithm for synthesizing and verifying piecewise linear Lyapunov functions to prove global exponential stability of piecewise linear dynamical systems. The Lyapunov ...

Find out how and why mathematics is used in microeconomics, its limitations, and the math skills that economics students need.

Understanding a linear function graph is fundamental to grasping core mathematical concepts and their real-world applications. By analyzing the visual representation of a linear equation, we can ...

This is the code for SGIR, a semi-supervised framework for Graph Imbalanced Regression. Data imbalance is easily found in annotated data when the observations of certain continuous label values are ...

Abstract: Nonlinear functions are often encountered in power system optimizations. In this paper, an effective piecewise linear (PWL) approximation technique is introduced which shows promising ...

Royalty-free licenses let you pay once to use copyrighted images and video clips in personal and commercial projects on an ongoing basis without requiring additional payments each time you use that ...

ABSTRACT: This paper presents a new dimension reduction strategy for medium and large-scale linear programming problems. The proposed method uses a subset of the original constraints and combines two ...

Department of Systems Biology, Harvard Medical School, Boston, MA, United States The linear framework uses finite, directed graphs with labelled edges to model biomolecular systems. Graph vertices ...