【摘 要】
:
A control system is a dynamical system on which one can act by using controls.For these systems a fundamental problem is the stabilization issue: Is it poss
【机 构】
:
Université Pierre et Marie Curie
论文部分内容阅读
A control system is a dynamical system on which one can act by using controls.For these systems a fundamental problem is the stabilization issue: Is it possible to stabilize a given unstable equilibrium by using suitable feedback laws?(Think to the classical experiment of an upturned broomstick on the tip of one's finger.)On this problem,we present some pioneer devices and works(Ctesibius,Watt,Maxwell,Lyapunov…),some more recent results,and an application to the regulation of the rivers La Sambre and La Meuse in Belgium.A special emphasize is put on positive or negative effects of the nonlinearities.
其他文献
Two types of polynomials,convex cover polynomials and split polynomials,are defined.A convex cover polynomial or a split polynomial can be decomposed into s
We review recent progress in reduction algorithms for integration,summation and creative Telescoping.These algorithms allow to determine integrability and s
In recent years,there have been major developments in applications of integrable systems.Originally,integrability has been recognized through solitons,which
Recently,polynomial optimization with semidefinite relaxations has been well studied.It applies Positivstellensatz and sums-of-squares technique to relax a
We provide a new hierarchy of semidefinite relaxations for polynomial optimization which combines some advantages of the standard LP-and SDP-relaxations:(a)
This paper,based on an invited talk at ICIAM 2015,describes an approach to high-dimensional integration,developed over the past 15 years,in which the numeri
We describe progress in linear and mixed-integer programming(MIP)algorithms and software over the last 25 years.As a result of this progress,modern linear p
We give a overall review on the mathematical formulation of textile material design based on clothing heat-moisture comfort,and corresponding results of the
In this talk,we investigate an interior Helmholtz inverse source problem with multiple frequencies.By implementing sharp uniqueness of the continuation resu
Let M be the number of bounded and regular bodies having a maximum radius 'a',aii1,located in a bounded domain of R3.We are concerned with the time harmonic