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IMA Journal of Mathematical Control and Information 1988 5(3):243-257; doi:10.1093/imamci/5.3.243
© 1988 by Institute of Mathematics and its Applications
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Polynomial Optimization of Stochastic Feedback Control for Stable Plants

A. P. ROBERTS and M. M. NEWMANN

Department of Engineering Mathematics, The Queen's University of Belfast

A rigorous derivation is given of the polynomial method for optimizing the stationary stochastic feedback control of linear multivariable plants. The same approach is used for both discrete-time and continuous-time control. In each case, the method involves two spectral factorizations and, by considering only stable plants, the solution of one diophantine equation.


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