On stabilisability of 2-D MIMO shift-invariant systems

Augusta, Petr; Augustová, Petra

doi:10.1016/j.jfranklin.2013.05.021

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Stability Of Spatially Invariant Systems2

Introduction1

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Cited by 4 publications

(3 citation statements)

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“…Mathematically, such systems are described by partial differential equations. Stability of spatially invariant systems is discussed in, e. g., [4,7,9]. Here, we briefly recall the basic knowledge.…”

Section: Stability Of Spatially Invariant Systemsmentioning

confidence: 99%

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A fast numerical test of multivariate polynomial positiveness with applications

Augusta¹,

Augustová²

2018

Kybernetika

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A fast numerical test of multivariate polynomial positiveness with applications Kybernetika, Vol. 54 (2018) A FAST NUMERICAL TEST OF MULTIVARIATE POLYNOMIAL POSITIVENESS WITH APPLICATIONS Petr Augusta and Petra AugustováThe paper presents a simple method to check a positiveness of symmetric multivariate polynomials on the unit multi-circle. The method is based on the sampling polynomials using the fast Fourier transform. The algorithm is described and its possible applications are proposed. One of the aims of the paper is to show that presented algorithm is significantly faster than commonly used method based on the semi-definite programming expression.

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Section: Stability Of Spatially Invariant Systemsmentioning

confidence: 99%

“…Here, we briefly recall the basic knowledge. The reader is referred to [4] and references therein for more details.…”

Section: Stability Of Spatially Invariant Systemsmentioning

confidence: 99%