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 incorporate detailed dynamic models within an optimization framework, and it is flexible enough to represent a wide variety of differential equations. pyomo.dae also includes several automated solution techniques based on a simultaneous discretization approach to solve dynamic optimization problems.

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Bynum, M. L., Hackebeil, G. A., Hart, W. E., Laird, C. D., Nicholson, B. L., Siirola, J. D., … Woodruff, D. L. (2021). Differential Algebraic Equations. In Springer Optimization and Its Applications (Vol. 67, pp. 181–189). Springer. https://doi.org/10.1007/978-3-030-68928-5_12

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