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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Recent progress on holomorphic Morse inequalities
全纯 Morse不等式 CR流形
2023/11/13
In this talk, we present recent progress on holomorphic Morse inequalities. We first review the history and motivation. Then we introduce recent results on CR manifolds. Finally we give a uniform proo...
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...
Abstract: We give several bounds for $sdepth_S(I+J)$, $sdepth_S(I\cap J)$, $sdepth_S(S/(I+J))$, $sdepth_S(S/(I\cap J))$, $sdepth_S(I:J)$ and $sdepth_S(S/(I:J))$ where $I,J\subset S=K[x_1,...,x_n]$ are...
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...
Some Inequalities for Nilpotent Multipliers of Finite Groups
Nilpotent multiplier Finite p-group Inequality
2011/2/21
In this paper we present some inequalities for the order, the expo-nent and the number of generators of the c-nilpotent multiplier (the Baer invariant with respect to the variety of nilpotent groups o...
Asymptotic expansions and extremals for the critical Sobolev and Gagliardo-Nirenberg inequalities on a torus
logarithmic Sobolev inequality sharp constants remainder terms lattice sums
2011/1/20
We give a comprehensive study of interpolation inequalities for periodic functions with zero mean, including the existence of and the asymptotic expansions for the extremals,best constants, various re...
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 ...
A note on Gaussian correlation inequalities for nonsymmetric sets
Gaussian correlation inequalities nonsymmetric sets
2010/11/23
We consider the Gaussian correlation inequality for nonsymmetric convex sets. More precisely, if $A\subset\mathbb{R}^d$ is convex and the origin $0\in A$, then for any ball $B$ centered at the origin...
Quantitative Isoperimetric Inequalities on the Real Line
Quantitative Isoperimetric Inequalities the Real Line
2010/11/23
In a recent paper A. Cianchi, N. Fusco, F. Maggi, and A. Pratelli have shown that, in the Gauss space, a set of given measure and almost minimal Gauss boundary measure is necessarily close to be a hal...
The Hadamard Type Inequalities for M-Convex Functions
The Hadamard Type Inequalities M-Convex Functions
2010/11/11
In this paper we obtained some new Hadamard-Type inequalities for functions whose derivatives absolute values m-convex. Some applications to special means of real numbers are given.