### “On the location of LQ-optimal closed-loop poles”

**Authors:**David Di Ruscio,

**Affiliation:**NTNU, Department of Engineering Cybernetics

**Reference:**1992, Vol 13, No 1, pp. 15-23.

**Keywords:**Linear optimal control, eigenvalues, inequalities, pole placements

**Abstract:**Inequalities which bound the closed-loop eigenvalues in an LQ-optimal system are presented. It is shown that the eigenvalues are bounded by two half circles with radii r1 and r2 and centre at -alpha less than or equal to 0, where alpha=0 is the imaginary axis, and that the imaginary parts of these eigenvalues are bounded from up and below by two lines parallel to the real axis.

PDF (893 Kb) DOI: 10.4173/mic.1992.1.2

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**BibTeX:**

@article{MIC-1992-1-2,

title={{On the location of LQ-optimal closed-loop poles}},

author={Di Ruscio, David},

journal={Modeling, Identification and Control},

volume={13},

number={1},

pages={15--23},

year={1992},

doi={10.4173/mic.1992.1.2},

publisher={Norwegian Society of Automatic Control}

};