Results 251 to 260 of about 238,956 (287)
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On cone-invariant linear matrix inequalities
IEEE Transactions on Automatic Control, 2000Summary: An exact solution for a special class of cone-preserving linear matrix inequalities (LMIs) is developed. By using a generalized version of the classical Perron-Frobenius theorem, the optimal value is shown to be equal to the spectral radius of an associated linear operator.
Parrilo, Pablo A., Khatri, Sven
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The D-decomposition technique for linear matrix inequalities
Automation and Remote Control, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Polyak, B. T., Shcherbakov, P. S.
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The projective method for solving linear matrix inequalities
Mathematical Programming, 1997Numerous problems in control and systems theory can be formulated in terms of linear matrix inequalities (LMI). Since solving an LMI amounts to a convex optimization problem, such formulations are known to be numerically tractable. However, the interest in LMI-based design techniques has really surged with the introduction of efficient interior-point ...
Gahinet, Pascal, Nemirovski, Arkadi
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A neural network for linear matrix inequality problems
IEEE Transactions on Neural Networks, 2000Gradient-type Hopfield networks have been widely used in optimization problems solving. This paper presents a novel application by developing a matrix oriented gradient approach to solve a class of linear matrix inequalities (LMIs), which are commonly encountered in the robust control system analysis and design.
C L, Lin, C C, Lai, T H, Huang
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Aircraft dynamics optimisation via linear matrix inequalities
The Aeronautical Journal, 1996AbstractThis paper deals with the problem of determining an optimal controller which minimises the norm of a given aircraft while guaranteeing that an upper limit of its
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Time-Varying Linear Matrix-Vector Inequality
2015In this chapter, by defining three different ZFs, three different ZD models are proposed, generalized, developed, and investigated to solve the time-varying linear matrix-vector inequality. Theoretical results are given as well to show the excellent convergence performance of such ZD models.
Yunong Zhang, Dongsheng Guo
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Semidefinite Programming and Linear Matrix Inequalities
2015In this chapter, we study semidefinite programming (SDP) problems and linear matrix inequalities (LMI). Particularly, we will revisit some discrete-time and continuous-time linear systems from the viewpoint of LMI.
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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