Applications of Spreadsheets in Education The Amazing Power of a Simple Tool

Author(s): Mark A. Lau and William E. Singhose

DOI: 10.2174/978160805276911101010041

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Optimal Control of Dynamical Systems

Pp: 41-63 (23)

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Abstract

SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.

Abstract

Optimal control techniques have numerous applications in engineering, economics, finance, biology, medicine, and many other fields. In spite of the util-ity of these techniques, the presentation of the topic of optimal control is normally reserved for graduate studies within specialties (e.g., systems engineering). In this chapter we present some illustrative examples in optimal control whose numerical solutions are obtained using the built-in solver capabilities of spreadsheets. Our hope is that the important and interesting topic of optimal control can be introduced to undergraduate students in a less intimidating manner when spreadsheets are used

Keywords:

optimal control, Pontryagin’s minimum principle, dynamical systems

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