Amœbas and structural stability of multidimensional systems: a test algorithm based on Monte Carlo integration

DOI10.1007/s11045-023-00869-9MaRDI QIDQ6164182

Alain Yger, Bossoto Bossoto, Mamadou Mboup

Publication date: 30 June 2023

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

zbMATH Keywords

BIBO stability structural stability tropical geometry Ronkin function Monte Carlo integration method amœba multilinear discrete time invariant systems

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Stability of control systems (93D99) Applications of tropical geometry (14T90)

Cites Work

Unnamed Item
Norm-constrained determinantal representations of multivariable polynomials
An explicit calculation of the Ronkin function
Multidimensional Schur coefficients and BIBO stability
Applications of stable polynomials to mixed determinants: Johnson's conjectures, unimodality, and symmetrized Fischer products
Amoebas, Monge-Ampère measures, and triangulations of the Newton polytope
Laurent determinants and arrangements of hyperplane amoebas
Certified non-conservative tests for the structural stability of discrete multidimensional systems
Hypergeometric polynomials are optimal
Amoeba-shaped polyhedral complex of an algebraic hypersurface
A new insight on Ronkin functions or currents
A nullstellensatz for amoebas
Schur coefficients in several variables
Algorithmic Computation of Polynomial Amoebas
Multivariate stable polynomials: theory and applications
The Lee‐Yang and Pólya‐Schur programs. II. Theory of stable polynomials and applications
Multivariable Nyquist theory
Tests of stability of multidimensional filters
Some stability properties of two-dimensional linear shift-invariant digital filters
Implementation of a new stability test for two-dimensional filters
Stability testing of two-dimensional discrete linear system polynomials by a two-dimensional tabular form
Multidimensional Systems: BIBO Stability Test Based on Functional Schur Coefficients
Stability test of multidimensional discrete-time systems via sum-of-squares decomposition
Lopsided approximation of amoebas
Stability and stabilisation of linear multidimensional discrete systems in the frequency domain
Matrix-valued Hermitian Positivstellensatz, Lurking Contractions, and Contractive Determinantal Representations of Stable Polynomials
A Theorem of Grace on the Zeros of Polynomials, Revisited
An Algorithm for the Machine Calculation of Complex Fourier Series
Stability criterion for<tex>N</tex>-dimensional digital filters

This page was built for publication: Amœbas and structural stability of multidimensional systems: a test algorithm based on Monte Carlo integration