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J. B. Lasserre 《Journal of Optimization Theory and Applications》1986,49(1):177-179
We show that a consistency check of a linear system of inequalitiesAxb reduces to check whetherQb0 for a certain matrixQ. It is a direct consequence of the Farkas-Minkowski theorem. Thus, when one has to check consistency for different values ofb, one need not run a numerical algorithm for eachb.On leave at the Electronics Research Laboratory of the University of California at Berkeley in a CNRS/NSF Exchange Program. 相似文献
3.
J. B. Lasserre 《Journal of Optimization Theory and Applications》1991,70(3):583-595
We consider two-dimensional discrete-time linear systems with constrained controls. We propose a simple polynomial time procedure to give an exact external representation of theN-step reachable set and controllable set. The bounding hyperplanes are explicitly derived in terms of the data of the problem. By using a result in computational geometry, all the calculations are made in polynomial time in contrast to classical methods. The limit case asN is also investigated. 相似文献
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Cribier M Fechner M Lasserre T Letourneau A Lhuillier D Mention G Franco D Kornoukhov V Schönert S 《Physical review letters》2011,107(20):201801
Several observed anomalies in neutrino oscillation data can be explained by a hypothetical fourth neutrino separated from the three standard neutrinos by a squared mass difference of a few eV(2). We show that this hypothesis can be tested with a PBq (ten kilocurie scale) (144)Ce or (106)Ru antineutrino beta source deployed at the center of a large low background liquid scintillator detector. In particular, the compact size of such a source could yield an energy-dependent oscillating pattern in event spatial distribution that would unambiguously determine neutrino mass differences and mixing angles. 相似文献
6.
V. Jeyakumar J. B. Lasserre G. Li 《Journal of Optimization Theory and Applications》2014,163(3):707-718
The optimal value of a polynomial optimization over a compact semi-algebraic set can be approximated as closely as desired by solving a hierarchy of semidefinite programs and the convergence is finite generically under the mild assumption that a quadratic module generated by the constraints is Archimedean. We consider a class of polynomial optimization problems with non-compact semi-algebraic feasible sets, for which an associated quadratic module, that is generated in terms of both the objective function and the constraints, is Archimedean. For such problems, we show that the corresponding hierarchy converges and the convergence is finite generically. Moreover, we prove that the Archimedean condition (as well as a sufficient coercivity condition) can be checked numerically by solving a similar hierarchy of semidefinite programs. In other words, under reasonable assumptions, the now standard hierarchy of semidefinite programming relaxations extends to the non-compact case via a suitable modification. 相似文献
7.
Jean B. Lasserre 《Proceedings of the American Mathematical Society》1998,126(1):189-194
We consider a linear sytem in a Banach lattice and provide a simple theorem of the alternative (or Farkas lemma) without the usual closure condition.
8.
A. Lasserre und Allen-Marquardt 《Fresenius' Journal of Analytical Chemistry》1911,50(12):773-774
Ohne Zusammenfassung 相似文献
9.
Topological concepts provide highly comprehensible representations of the main features of a flow with a limited number of
elements. This paper presents an automated classification method of instantaneous velocity fields based on the analysis of
their critical points distribution and feature flow fields. It uses the fact that topological changes of a velocity field
are continuous in time to extract large scale periodic phenomena from insufficiently time-resolved datasets. This method is
applied to two test-cases : an analytical flow field and PIV planes acquired downstream a wall-mounted cube. 相似文献
10.
J. B. Lasserre 《Journal of Optimization Theory and Applications》1988,58(2):351-358
We consider discrete-time linear systems with constraints on both control and state variables and bounded disturbances. We exhibit a closed-form expression of the necessary and sufficient conditions for existence of closed-loop policy. These conditions are linear constraints on the initial state and the bounds on the disturbances, control variables and state variables. A simple illustrative example is presented. 相似文献