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Linear matrix inequalities in system and control theory
Linear matrix inequality system the control theory and linear matrix inequality affine combination symmetric positive semidefinite matrix
2015/8/12
A wide variety of problems in system and control theory can be formulated (or reformulated) as convex optimization problems involving linear matrix inequalities, that is, constraints requiring an affi...
Control systems analysis and synthesis via linear matrix inequalities
Control theory and linear matrix inequality the numerical algebraic riccati inequality lyapunov
2015/8/12
A wide variety of problems in systems and control theory can be cast or recast as convex problems that involve linear matrix inequalities (LMIs). For a few very special cases there are “analytical sol...
History of linear matrix inequalities in control theory
Linear matrix inequality control control theory tool control applications
2015/8/12
The purpose of this paper is to give a historical view of Linear Matrix Inequalities in control and system theory. Not surprisingly, it appears that LMIs have been involved in some of the major events...
Multiobjective H_2/H_infinity-optimal control via finite dimensional Q-parametrization and linear matrix inequalities
Controller design convex semidefinite programming impulse response
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...
The Violation of Bell Inequalities in the Macroworld
Diederik Aerts Sven Aerts Jan Broekaert and Liane Gabora
2015/7/31
We show that Bell inequalities can be violated in the macroscopic world. The macroworld violation is
illustrated using an example involving connected vessels of water. We show that whether the violat...
Generalized Young and Cauchy--Bunyakowsky Inequalities with Applications: a survey
Generalized Young Cauchy--Bunyakowsky Inequalities Applications
2011/2/22
In this survey we consider generalizations for Young and Cauchy–Bunyakowsky inequalities with applications.In section 2 it is noticed that in fact there two different Young inequalities (for two numbe...
Extension results for boolean maps and a class of systems of linear inequalities
Involution posets boolean maps systems of linear inequalities
2011/2/28
In this paper we introduce the notion of core for two specific classes of boolean maps on finite involution posets (which are a generalization of the boolean lattices) and we prove some extension resu...
Semilinear elliptic inequalities in the exterior of a compact set
Semilinear elliptic inequalities compact set
2010/11/24
We study the semilinear elliptic inequality $-\Delta u\geq\varphi(\delta_K(x))f(u)$ in $R^N\setminus K,$ where $\varphi, f$ are non-negative and continuous functions, $K\subset R^N$ $(N\geq 2)$ is a ...
Multiplicative Principal-Minor Inequalities for A Class of Oscillatory Matrices
Totally positive matrices Determinant Principal minor Bidiagonal factorization Determinantal inequalities Generators
2010/1/22
A square matrix is said to be totally nonnegative (respectively, positive) if all of its minors are nonnegative (respectively, positive). Determinantal inequalities have been a popular and important ...