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See detailA performance evaluation of weight-constrained conditioned portfolio optimization
Schiltz, Jang UL; Boissaux, Marc UL

Scientific Conference (2017, May 25)

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See detailOn the classical solution to the linear-constrained minimum energy problem
Schiltz, Jang UL; Boissaux, Marc UL

in International Journal of Control (2012), 1

Minimum energy problems involving linear systems with quadratic performance criteria are classical in optimal control theory. The case where controls are constrained is discussed in Athans and Falb (1966 ... [more ▼]

Minimum energy problems involving linear systems with quadratic performance criteria are classical in optimal control theory. The case where controls are constrained is discussed in Athans and Falb (1966) [Athans, M. and Falb, P.L. (1966), Optimal Control: An Introduction to the Theory and Its Applications, New York: McGraw-Hill Book Co.] who obtain a componentwise optimal control expression involving a saturation function expression. We show why the given expression is not generally optimal in the case where the dimension of the control is greater than one and provide a numerical counterexample. [less ▲]

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