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Closed-loop convex formulation of classical and singular value loop shaping
Singular value circulation formation control dynamic systems digital technology application control system design
2015/8/12
We show that control system design via classical loop shaping and singular value loop shaping can be formulated as a closed-loop convex problem. Consequently, loop shaping problems can be solved by ef...
Antenna array pattern synthesis via convex optimization
Antenna array model numerical geometric shape elements value
2015/8/11
We show that a variety of antenna array pattern synthesis problems can be expressed as convex optimization problems, which can be (numerically) solved with great efficiency by recently developed inter...
On Aleksandrov-Fenchel Inequalities for k-Convex Domains
On Aleksandrov-Fenchel Inequalities k-Convex Domains
2014/4/3
These are the lecture notes based on a course which the first named author has given at the second congress organized by the Riemann International School of Mathematics in Verbania, Italy from S...
On the continuity and regularity of convex extensions
continuity regularity of convex extensions
2011/2/28
We study continuity and regularity of convex extensions of functions from a compact set C to its convex hull K = co(C). We show that if C contains the relative boundary of K, and f is a continuous con...
Predictor-corrector algorithm for linear programming, proposed by
Mizuno et al.$^{[1]}$, becomes the best well known in the interior point
methods.
The purpose of this paper is to extend these resu...
An Interior-point Trust-region Polynomial Algorithm for Convex Programming
interior-point algorithm self-concordant barrier trust-region subproblem
2012/8/1
An interior-point trust-region algorithm is proposed for minimization of a convex quadratic objective function over a general convex set. The algorithm uses a trust-region model to ensure descent on a...
