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Multiobjective H_2/H_infinity-optimal control via finite dimensional Q-parametrization and linear matrix inequalities
Controller design convex semidefinite programming impulse response
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2015/8/11
The problem of multi-objective H2/H-infinity optimal controller design is reviewed. There is as yet no exact solution to this problem. We present a method based on that proposed by Scherer. The proble...
Approximate Parametrization of Space Algebraic Curves
Approximate Parametrization Space Algebraic Curves Algebraic Geometry
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2011/8/30
Abstract: Given a non-rational real space curve and a tolerance $\epsilon>0$, we present an algorithm to approximately parametrize the curve. The algorithm checks whether a planar projection of the sp...
Radial extension of a bi-Lipschitz parametrization of a starlike Jordan curve
Radial extension bi-Lipschitz parametrization
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2010/11/24
In this paper we discus the radial extension $w$ of a bi-Lipschitz parameterization $F(e^{it})=f(t)$ of a starlike Jordan curve $\gamma$ w.r. to $0$. We show that, if parameterization is bi-Lipschitz,...
A parametrization of the abstract Ramsey theorem
parametrization the abstract Ramsey theorem
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2010/11/23
We give a parametrization with perfect subsets of $2^{\infty}$ of the abstract Ramsey theorem (see \cite{todo}) Our main tool is an extension of the parametrized version of the combinatorial forcing d...
Algorithms for Del Pezzo Surfaces of Degree 5 (Construction, Parametrization)
Algorithms Del Pezzo Surfaces of Degree 5
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2010/12/9
It is well known that every Del Pezzo surface of degree 5 defined over k is parametrizable over k. In this paper we give an efficient construction for parametrizing, as well as algorithms for construc...