Abstract: A recent approach uses linear programming (LP) to compute continuous and piecewise affine (CPA) Lyapunov functions for arbitrary switched linear systems. Such a Lyapunov function is a common ...

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 ...

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 ...

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 ...

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 ...

Linear and nonlinear functions are the building blocks of algebra. They are essential to the understanding of graphs, equations, and the principles that govern the study of mathematics beyond the ...