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LMI

Journal of Japan Society for Fuzzy Theory and Systems, 1997
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LMI board members

Laboratory Medicine International, 2022
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Parameterized LMIs in Control Theory

SIAM Journal on Control and Optimization, 2000
The authors consider several control and optimization problems which can be transformed into parametrized linear matrix inequalities. They are as follows: quadratic programming including some nonconvex and nonconcave topics which can be converted into a Boolean programming task, Lyapunov function based stability and performance analysis for uncertain ...
Pierre Apkarian, Hoang Duong Tuan
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LMI RELAXATIONS FOR HOMOGENEOUS POLYNOMIAL SOLUTIONS OF PARAMETER-DEPENDENT LMIS

IFAC Proceedings Volumes, 2006
Abstract This paper presents a systematic procedure to generate families of linear matrix inequality (LMI) conditions of finite dimension which provide a homogeneous polynomial solution of arbitrary degree for parameter-dependent LMIs defined in the unit simplex.
Ricardo C.L.F. Oliveira, Pedro L.D. Peres   +1 more
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Relaxing LMI domination matricially

49th IEEE Conference on Decision and Control (CDC), 2010
Given linear matrix inequalities (LMIs) L 1 and L 2 in the same number of variables it is natural to ask: (Q 1 ) 1) does one dominate the other, that is, does L 1 (X) ≽ 0 imply L 2 (X) ≽ 0? 2) are they mutually dominant, that is, do they have the same solution set? Such problems can be NP-hard.
J. William Helton, Igor Klep, Scott A. McCullough   +2 more
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Coulomb interactions in Ga LMIS

Ultramicroscopy, 2008
For low emission currents from around 1 microA Ga liquid-metal ion sources (LMIS) produce fine optically bright ion beams that are strongly limited by the Coulomb particle-particle interactions. We present computations of the energy spread, the beam virtual crossover size, and beam brightness based on direct numerical integration of the equation of ...
Tomás, Radlicka, Bohumila, Lencová
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On model reduction using LMI's

Proceedings of the 2004 American Control Conference, 2004
We deal with the problem of approximating a given n-th order LTI system G by an r-th order system Gr where r < n. It is shown that lower bounds of the H/sub /spl infin// norm of the associated error system can be analyzed by using LMI-related techniques.
Yoshio Ebihara, Tomomichi Hagiwara
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A KYP Lemma for LMI Regions

IEEE Transactions on Automatic Control, 2007
In this technical note, a Kalman-Yakubovich-Popov (KYP) lemma is discussed for linear matrix inequality (LMI) regions. Sufficient quadratic stability conditions are developed for an uncertain linear system subject to time varying uncertainty satisfying a quadratic inequality.
Brandon Hencey, Andrew G. Alleyne
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The LMI control toolbox

Proceedings of 1994 33rd IEEE Conference on Decision and Control, 2002
This paper describes a new MATLAB-based toolbox for control design via linear matrix inequality (LMI) techniques. After a brief review of LMIs and of some of their applications to control, the toolbox contents and capabilities are presented. >
P. Gahinet, A. Nemirovskii, A.J. Laub, M. Chilali   +3 more
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On the mechanism of the LMIS emission

Surface Science, 1992
Abstract The strength of the electric field has been calculated at the liquid metal ion source (LMIS) apex, assuming that the LMIS apex is a hyperboloid of revolution with the asymptotic surface in the form of Taylor's cone. It has been shown that the main mechanism of ion formation in LMIS (for ion currents ⪅ 10 −5 A) is thefield ionization.
V.E. Ptitsin, S.I. Shevchenko
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