Results 261 to 270 of about 23,100 (313)

Linear Matrix Inequalities in Control

, 2007
This chapter gives an introduction to the use of linear matrix inequalities (LMIs) in control. LMI problems are defined and tools described for transforming matrix inequality problems into a suitable LMI-format for solution. Several examples explain the use of these fundamental tools.
Herrmann, G, Turner, MC, Postlethwaite, I   +2 more
openaire   +3 more sources

Some of the next articles are maybe not open access.

Related searches:

Linear Matrix Inequalities in Control Systems with Uncertainty

Automation and Remote Control, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boris T. Polyak, Mikhail V. Khlebnikov, Pavel Shcherbakov 0001   +2 more
openaire   +1 more source

Positivity and Linear Matrix Inequalities

European Journal of Control, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Genin, Y., Hachez, Y., Nesterov, Yu., Ştefan, R., Van Dooren, P., Xu, S.   +5 more
openaire   +2 more sources

Convex Matrix Inequalities Versus Linear Matrix Inequalities

IEEE Transactions on Automatic Control, 2009
Most linear control problems lead directly to matrix inequalities (MIs). Many of these are badly behaved but a classical core of problems are expressible as linear matrix inequalities (LMIs). In many engineering systems problems convexity has all of the advantages of a LMI. Since LMIs have a structure which is seemingly much more rigid than convex MIs,
J. William Helton, Scott A. McCullough, Mihai Putinar, Victor Vinnikov   +3 more
openaire   +1 more source

Differential Linear Matrix Inequalities Optimization

IEEE Control Systems Letters, 2019
This letter proposes a new method to solve convex programming problems with constraints expressed by differential linear matrix inequalities (DLMIs). Initially, feasible solutions of interest are characterized and a general numerical method, based on the well known outer linearization technique, is proposed and discussed from theoretical and numerical ...
Tiago R. Goncalves, Gabriela Werner Gabriel, José Claudio Geromel   +2 more
openaire   +1 more source

On the Numerical Solution of Differential Linear Matrix Inequalities

Journal of Optimization Theory and Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marco Ariola, Gianmaria De Tommasi, Adriano Mele, Gaetano Tartaglione   +3 more
openaire   +6 more sources

On cone-invariant linear matrix inequalities

IEEE Transactions on Automatic Control, 2000
Summary: 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.
Pablo A. Parrilo, Sven Khatri
openaire   +1 more source

Error Bounds for Linear Matrix Inequalities

SIAM Journal on Optimization, 2000
Summary: For iterative sequences that converge to the solution set of a linear matrix inequality, we show that the distance of the iterates to the solution set is at most \( O(\varepsilon^{2^{-d}})\). The nonnegative integer \(d\) is the so-called degree of singularity of the linear matrix inequality, and \(\varepsilon \) denotes the amount of ...
openaire   +2 more sources

The projective method for solving linear matrix inequalities

Mathematical Programming, 1997
Numerous 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 ...
Pascal Gahinet, Arkadi Nemirovski
openaire   +3 more sources

Linear Matrix Inequalities in Control Problems

Differential Equations, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources