Automatica (Journal of IFAC)
Sensor selection via convex optimization
IEEE Transactions on Signal Processing
All H∞ singular and normal filter design for uncertain singular systems
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
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In this paper, we study several issues related to the characterization of specific classes of multivariate quadratic mappings that are nonnegative over a given domain, with nonnegativity defined by a prespecified conic order. In particular, we consider the set (cone) of nonnegative quadratic mappings, defined with respect to the positive semidefinite matrix cone, and study when it can be represented by linear matrix inequalities. We also discuss the applications of the results in robust optimization, especially the robust quadratic matrix inequalities and the robust linear programming models. In the latter application the implementational errors of the solution are taken into account, and the problem is formulated as a semidefinite program.