Differential algebraic equations

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Abstract

This chapter documents how to formulate and solve optimization problems with differential and algebraic equations (DAEs). The pyomo.dae package allows users to easily incorporate detailed dynamic models within an optimization framework and is flexible enough to represent a wide variety of differential equations. We also demonstrate several automated solution techniques included in pyomo.dae that apply a simultaneous discretization approach to solve dynamic optimization problems.

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Hart, W. E., Laird, C. D., Watson, J. P., Woodruff, D. L., Hackebeil, G. A., Nicholson, B. L., & Siirola, J. D. (2017). Differential algebraic equations. In Springer Optimization and Its Applications (Vol. 67, pp. 201–209). Springer International Publishing. https://doi.org/10.1007/978-3-319-58821-6_11

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