Abstract: Continuous piecewise affine (PWA) functions arise in many aspects of control. For this kind of function, we propose the minimal conjunctive normal expression (CNE). The CNE can be expressed ...

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 ...

A piecewise function is defined by multiple sub-functions, each applicable over a specific interval of the domain. These intervals are often called "pieces" of the function's domain. Each piece ...

Trigonometric identities are powerful tools for simplifying complex equations in math and science. Three core groups—reciprocal, quotient, and Pythagorean—form the foundation. Effective strategies ...

Functional data analysis is typically conducted within the L²-Hilbert space framework. There is by now a fully developed statistical toolbox allowing for the principled application of the functional ...

Maths Continuity and Differentiability Formulas: Calculus comprises nearly half of the curriculum of the CBSE class 12 mathematics syllabus. Chapter 5 Continuity and Differentiability is one of the ...

Maths Inverse Trigonometric Functions Formulas: Calculus is one of the most important topics in mathematics. The CBSE Class 11 and 12 introduce students to many advanced concepts in calculus. Nearly ...