A

Dynamic Systems and Stability

CONTENTS

A.1 Vectors and Matrices

A.1.1 Positive Definite Matrices

A.2 Signals

A.3 Functions

A.3.1 Continuity

A.3.2 Differentiation

A.3.3 Convergence

A.3.4 Function Properties

A.4 Dynamic Systems

A.4.1 Stability Definitions

A.4.2 Boundedness Definitions

A.4.3 Stability Tools

This appendix presents necessary material related to the analysis and design of robust adaptive packet transmission rate controllers. It is therefore important for the unfamiliar reader to thoroughly review all the topics included to obtain the background required to fully understand Chapters 7 - 10. Further details may also be found in [11], [32], [94], [137], [161], [273], [289].

A.1 Vectors and Matrices

We start by providing the norm ...

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