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• W2912451571 abstract "We propose a method to compute convergent lower bounds for the state-feedback controller design problem begin{equation*} inflimits_{F} {L(F): A+BF mathbf{is Metzler} & mathbf{stable}}end{equation*} where <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$L$</tex> is a convex loss function of <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$F$</tex> . The theory behind the approach is simple: relying only on an extension of Perron-Frobenius to Metzler matrices, and popular discrete optimization techniques. The method itself has two tuning parameters (which enable faster recovery of solutions, with possible introduction of optimality gaps) and is practical for systems with a non-trivial state dimension. A convergence result with respect to the optimal solution is derived, and a direct heuristic algorithm based on linear programming is given. We explain how projecting <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$A$</tex> onto the set of stable Metzler matrices is essentially the hardest of these problems, and focus our numerical examples on precisely this case." @default.
• W2912451571 created "2019-02-21" @default.
• W2912451571 creator A5034001390 @default.
• W2912451571 creator A5070917137 @default.
• W2912451571 date "2018-12-01" @default.
• W2912451571 modified "2023-09-30" @default.
• W2912451571 title "Structured Feedback Optimization for Metzler Dynamics" @default.
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• W2912451571 doi "https://doi.org/10.1109/cdc.2018.8618672" @default.
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