Algebraic Topics in Control

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Contribution to Books

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Control engineers often are referred to as mathematicians in disguise. Indeed, a firm foundation in mathematics is essential for success in the control arena. Many practicing control engineers delve into the intricacies of one or more particular fields of mathematics. Consequently, many of the sections in this chapter on controls rely heavily on algebraic considerations or have algebraic roots. This chapter purports to provide a lively introduction for such investigations by discussing common algebraic topics that occur in control. Along the way, examples of engineering applications are pointed out to the interested reader.