Chapter 4Review of Stability Theory Applied to The Transient Energy Function Method

4.1 Introduction

4.1.1 Notational Conventions

We will first provide a brief description of the notational convention used in this chapter.

x ∈ A

means x is an element of the set A

xImageA

means x is not an element of the set A

R

is the set of all real numbers

R × R

denotes the Cartesian product, i.e., if x, y ∈ R, the ordered pair (x, y) ∈ R × R

Rn

is the n–dimensional real space

Image ·

is an appropriately defined norm

Br

ball of radius r, r > o, and centered at the origin

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