Abstract
The paper describes an algorithm for the computation of optimal design and control variables for a multistage process, each stage of which is described by a system of nonlinear differential-algebraic equations of the form:
where t is the time, x(t) the state vector, \(\dot x(t)\) its time derivative, u(t) the control vector, and v a vector of design parameters. The system may also be subject to end-point or interior-point constraints, and the switching times may be explicitly or implicitly defined. Methods of dealing with path constraints are also discussed.
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© 1986 Springer-Verlag
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Morison, K.R., Sargent, R.W.H. (1986). Optimization of multistage processes described by differential-algebraic equations. In: Hennart, JP. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 1230. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072673
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DOI: https://doi.org/10.1007/BFb0072673
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