On the Optimum Control of Differential-Algebraic Equations

P. K. Venkatesh
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P. K. Venkatesh: Schlumberger-Doll Research

Journal of Optimization Theory and Applications, 2001, vol. 109, issue 3, No 12, 675-689

Abstract: Abstract We present a method, based on approximation theory, for the solution of optimum control problems of differential-algebraic systems of any index. Its essence is the rendering of any optimum control formulation of systems of differential-algebraic equations into one of a pure optimum control formulation of the Bolza type by means of characteristic functions approximated by damped pseudo-spectral expansions.

Keywords: optimal control; differential-algebraic equations; approximation theory; dynamical systems (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1017528124486

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