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Rank-one LMIs and Lyapunov's inequality.
We describe a new proof of the well-known Lyapunov's matrix inequality about the location of the eigenvalues of a matrix in some region of the complex plane. The proof makes use of standard facts from quadratic and semidefi...
BC - Teorie a systémy řízení
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On computing the H_infinity-norm of a polynomial matrix fraction.
We propose new algorithms to compute the H_infinity-norm of a transfer function expressed as a fraction of polynomial matrices. The algorithms are based on optimization over linear matrix inequalities and do not require int...
BC - Teorie a systémy řízení
- 2001 •
- D
Rok uplatnění
D - Stať ve sborníku
Robust H∞ Controller Design for Satellite Systems with Uncertain Inertia Matrix: A Linear Matrix Inequality Approach
This paper discusses the design of a robust H∞ controller for satellite systems that exhibit changes in its inertia matrix within a range of ±5%. Using MATLAB Simulink, the proposed approach is a Linear Matrix Inequalit...
Automation and control systems
- 2024 •
- D •
- Link
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D - Stať ve sborníku
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SPECTRA - a Maple library for solving linear matrix inequalities in exact arithmetic
This document describes our freely distributed Maple library spectra, for Semidefinite Programming solved Exactly with Computational Tools of Real Algebra. It solves linear matrix inequalities with symbolic computation in e...
Applied mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Linear Matrix Inequalities and Semidefinite Programming: Applications in Control
This paper outlines the issues of Linear Matrix Inequalities (LMIs) and semidefinite programming with emphasis on their wide application potential in the field of automatic control. It presents the history and basic theory ...
JD - Využití počítačů, robotika a její aplikace
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Strong solvability of linear interval systems of inequalities with simple dependencies
This paper is concerned with strong solvability of linear interval inequalities. In traditional interval analysis, we suppose that values from different intervals sub-matrices of the constraint matrix. We apply the approach...
BB - Aplikovaná statistika, operační výzkum
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Linear matrix inequalities for robust strictly positive real design.
design algorithm based on linear matrix inequalities.
BC - Teorie a systémy řízení
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Polynomial matrices, LMIs and static output feedback.
), find a constant matrix K such that polynomial matrix D(s)+KN(s) is stable. In this paper, we showthat solving this problem amounts to solving a linear matrix inequality with a non-convex rank constraint...
BC - Teorie a systémy řízení
- 2001 •
- D
Rok uplatnění
D - Stať ve sborníku
Linear matrix inequalities for robust strictly positive real design.
in a straightforward strictly positive real design algorithm based on linear inequalities.
BC - Teorie a systémy řízení
- 2001 •
- D
Rok uplatnění
D - Stať ve sborníku
Radii of Solvability and Unsolvability of Linear Systems
We consider a problem of determining the component-wise distance (called the radius) of a linear system of equations or inequalities to a system that is either manner. We also present a generalization to an arbitrary linear...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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