Results 201 to 210 of about 75,217 (259)
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Parameterized LMIs in Control Theory
SIAM Journal on Control and Optimization, 2000The 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, 2006Abstract 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 +1 more
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Relaxing LMI domination matricially
49th IEEE Conference on Decision and Control (CDC), 2010Given 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 +2 more
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Coulomb interactions in Ga LMIS
Ultramicroscopy, 2008For 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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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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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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On the mechanism of the LMIS emission
Surface Science, 1992Abstract 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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On model reduction using LMI's
Proceedings of the 2004 American Control Conference, 2004We 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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LMI Relaxations in Robust Control
European Journal of Control, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Manufacturing Systems: LMI Approach
IEEE Transactions on Automatic Control, 2006This note deals with the control of production systems that produce many part types with limited capacity. First, a simple model is used to show that the inventory control problem can be solved using modern control theory. A state feedback controller that forces the cumulative production of the system to track precisely the cumulative demand is ...
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