**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

**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.

(

**8352**views)

**Nonlinear Partial Differential Equations of Elliptic Type**

by

**Vicentiu Radulescu**-

**arXiv**

This textbook provides the background which is necessary to initiate work on a Ph.D. thesis in Applied Nonlinear Analysis. The purpose is to provide a broad perspective in the subject. The level is aimed at beginning graduate students.

(

**7845**views)

**Pseudodifferential Operators and Nonlinear PDE**

by

**Michael E. Taylor**-

**BirkhĂ¤user Boston**

Since the 1980s, the theory of pseudodifferential operators has yielded many significant results in nonlinear PDE. This monograph is devoted to a summary and reconsideration of some uses of this important tool in nonlinear PDE.

(

**9142**views)

**Partial Differential Equations of Mathematical Physics**

by

**William W. Symes**-

**Rice University**

This course aims to make students aware of the physical origins of the main partial differential equations of classical mathematical physics, including the equations of fluid and solid mechanics, thermodynamics, and classical electrodynamics.

(

**13171**views)