**An Algorithm for Constructing Lyapunov Functions**

by Sigurdur Freyr Hafstein

2007**Number of pages**: 100

**Description**:

In this monograph we develop an algorithm for constructing Lyapunov functions for arbitrary switched dynamical systems, possessing a uniformly asymptotically stable equilibrium. We give numerous examples of Lyapunov functions constructed by our method at the end of the monograph.

Download or read it online for free here:

**Download link**

(6.4MB, PDF)

## Similar books

**Partial Differential Equations**

by

**Erich Miersemann**-

**Leipzig University**

These lecture notes are intended as a straightforward introduction to partial differential equations which can serve as a textbook for undergraduate and beginning graduate students. Some material of the lecture notes was taken from some other books.

(

**6818**views)

**Symmetry and Separation of Variables**

by

**Willard Miller**-

**Addison-Wesley**

This volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics and the coordinate systems in which the equation admits solutions via separation of variables.

(

**5752**views)

**Exterior Differential Systems and Euler-Lagrange Partial Differential Equations**

by

**R. Bryant, P. Griffiths, D. Grossman**-

**University Of Chicago Press**

The authors present the results of their development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincare-Cartan forms. They also cover certain aspects of the theory of exterior differential systems.

(

**11788**views)

**An Introduction to D-Modules**

by

**Jean-Pierre Schneiders**-

**Universite de Liege**

These notes introduce the reader to the algebraic theory of systems of partial differential equations on a complex analytic manifold. We start by explaining how to switch from the classical point of view to the point of view of algebraic analysis.

(

**5275**views)