# control theory

**DOI:**https://doi.org/10.1007/1-4020-0611-X_163

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## INTRODUCTION

Although the use of control theory is normally associated with applications in electrical and mechanical engineering, it shares much of its mathematical foundations with operations research and management science. These foundations include differential and difference equations, stochastic processes, optimization, calculus of variations, and others.

In application, control theory is concerned with steering dynamical systems to achieve desired results. Both types of systems to be controlled and the goals of control include a wide variety of cases. Control theory is strongly related to control systems engineering, which is fundamental to many advanced technologies. In a broader sense, control theoretic concepts are applicable not just to technological systems, but also to dynamical systems encountered in biomedical, economic and social sciences. Control theory has also had a fundamental impact on many areas of applied mathematics and continues to be a rich source of research...

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