On Uniform Solvability of Parameter-Dependent Lyapunov Inequalities and Applications to Various Problems

Abstract

We consider the problem of finding a common quadratic Lyapunov function to demonstrate the stability of a not necessarily bounded family of matrices which incorporate design freedoms. Generically, this can be viewed as the problem of picking a family of controller (or observer) gains so that the family of closed-loop system matrices admits a common… (More)
DOI: 10.1137/040619417

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Cite this paper

@article{Krishnamurthy2006OnUS, title={On Uniform Solvability of Parameter-Dependent Lyapunov Inequalities and Applications to Various Problems}, author={Prashanth Krishnamurthy and Farshad Khorrami}, journal={SIAM J. Control and Optimization}, year={2006}, volume={45}, pages={1147-1164} }