Positivity and linear matrix inequalities
(2002) European Journal of Control — Vol. 8, n° 3, p. 275-298 (2002)
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- Abstract
- In this paper we first recall the general theory of Popov realizations of parahermitian transfer functions in the context of generalized state space systems. We then use this general framework to derive linear matrix inequalities for some particular applications in systems and control. Finally, we indicate how these problems can be solved numerically and what specific numerical difficulties can be encountered in these applications.
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Genin, Y., Hachez, Y., Nesterov, Y., Stefan, R., Van Dooren, P., & Xu, S. (2002). Positivity and linear matrix inequalities. European Journal of Control, 8(3), 275-298. https://doi.org/10.3166/ejc.8.275-298 (Original work published 2002)