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Introduction

  • J. P. LaSalle
Part of the Applied Mathematical Sciences book series (AMS, volume 62)

Abstract

This book will discuss the stability and controllability of a discrete dynamical system. It is assumed that at any particular time the system can be completely described by a finite dimensional vector xεR m--the state vector. Here R m is the real m-dimensional Euclidean space and
$$x\left\{ {\begin{array}{*{20}{c}} {{{x}_{1}}} \\ \vdots \\ {{{x}_{m}}} \\ \end{array} } \right\} \in R,\left| {\left| x \right|} \right| = {{\left( {x_{1}^{2} + \ldots + x_{m}^{2}} \right)}^{{1/2}}}$$
(the Euclidean length of the vector x). The components x1,…,xm might be the temperature, density, pressure etc. of some physical system.

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Copyright information

© Springer Science+Business Media New York 1986

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  • J. P. LaSalle

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