Cover Image

Construction of analogs of the Lyapunov equation for a matrix polynomial

We develop a method for localization of the eigenvalues of a matrix polynomial. This method is related to a generalization and solution of the Lyapunov equation.

Saved in:

Bibliographic Details
Date:	1995
Main Authors:	Mazko, A. G., Мазко, А. Г.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1995
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5422
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Transformations and inertia of solutions to linear matrix equations
by: Mazko, A. G., et al.
Published: (1993)

Localization of eigenvalues of polynomial matrices
by: Mazko, A. G., et al.
Published: (2010)

Stability Criteria and Localization of the Matrix Spectrum in Terms of Trace Functions
by: Mazko, A. G., et al.
Published: (2014)

Analytical construction of the hierarchical matrix Lyapunov function for impulse systems
by: Begmuratov, K. A., et al.
Published: (1997)

Criterion of the solvability of matrix equations of the Lyapunov type
by: Boichuk, О. A., et al.
Published: (1998)

Positive and Monotone Systems in a Partially Ordered Space
by: Mazko, A. G., et al.
Published: (2003)

Stability of positive and monotone systems in a partially ordered space
by: Mazko, A. G., et al.
Published: (2004)

Stability and Comparison of States of Dynamical Systems with Respect to a Time-Varying Cone
by: Mazko, A. G., et al.
Published: (2005)

Constructive Estimates of Lyapunov V- Function for Equations of Perturbed Motion
by: A. A. Martynjuk
Published: (2017)

Distribution of the spectrum and representation of solutions of degenerate dynamical systems
by: Mazko, A. G., et al.
Published: (1998)

Localization of the spectrum and representation of solutions of linear dynamical systems
by: Mazko, A. G., et al.
Published: (1998)

Localization of spectrum and stability of certain classes of dynamical systems
by: Mazko, A. G., et al.
Published: (1996)

Stability of Linear Positive Systems
by: Mazko, A. G., et al.
Published: (2001)

Weighted estimation and reduction of influence of bounded perturbations in descriptor control systems
by: Mazko, A. G., et al.
Published: (2020)

Weighted damping of external and initial disturbances in descriptor control systems
by: Mazko, A. G., et al.
Published: (2026)

Evaluation and attainment of weighted performance measures in descriptor control systems
by: Mazko, A. G., et al.
Published: (2022)

Equivalent transformation and weighted $H_\infty$-optimization of linear descriptor systems
by: Mazko, A., et al.
Published: (2026)

Attainment of weighted performance measures and spectrum localization in descriptor control systems
by: Mazko, A., et al.
Published: (2026)

Evaluation of the weighted level of attenuation of external and initial disturbances in nonlinear systems
by: Mazko, A., et al.
Published: (2024)

Construction of unital matrix polynomials with mutually distinct characteristic roots
by: Mel'nyk, O. M., et al.
Published: (1993)

Semi-inversion and properties of matrices invariants
by: Mazko , A. G., et al.
Published: (1988)

The solutions of matrix polynomial diophantine equation
by: N. S. Dzhaliuk, et al.
Published: (2012)

Construction of pursuit strategies with using Lyapunov functions
by: S. V. Pashko
Published: (2017)

Construction of pursuit strategies with using Lyapunov functions
by: Pashko, S.V.
Published: (2018)

Calculation of Corteges of Solutions of Matrix Polynomial Equations
by: M. O. Nedashkovskyi
Published: (2019)

Solving for Matrix Polynomial Equations with Vector Unknowns
by: M. O. Nedashkovskyi, et al.
Published: (2017)

d-Orthogonal Analogs of Classical Orthogonal Polynomials
by: Horozov, E.
Published: (2018)

Calculation of Corteges of Solutions of Matrix Polynomial Equations
by: Недашковський, Микола Олександрович
Published: (2019)

Cone inequalities and stability of differential systems
by: Mazko, A. G., et al.
Published: (2008)

Evaluation of the weighted level of damping of bounded disturbances in descriptor systems
by: Mazko, A. G., et al.
Published: (2018)

Constructive Estimate of the Lyapunov Function for Systems with Quadratic Nonlinearity
by: A. A. Martynjuk, et al.
Published: (2018)

Analog of the mean-value theorem for polynomials of special form
by: Trofymenko, O. D., et al.
Published: (2011)

A q-Analog of the Hua Equations
by: Bershtein, O., et al.
Published: (2009)

Stochastic Lyapunov Functions for a System of Nonlinear Difference Equations
by: Dzhalladova, I. A., et al.
Published: (2002)

A Constructive Proof for the Umemura Polynomials of the Third Painlevé Equation
by: Clarkson, Peter A., et al.
Published: (2023)

Symmetric Equivalence of Matrix Polynomials and Isolation of a Common Unital Divisor in Matrix Polynomials
by: Kuchma, M. I., et al.
Published: (2001)

Construction of Lyapunov functions in the form of pencils of quadratic forms
by: I. M. Hrod, et al.
Published: (2018)

Solutions of the matrix linear bilateral polynomial equation and their structure
by: Dzhaliuk, Nataliia S., et al.
Published: (2019)

Solutions of the matrix linear bilateral polynomial equation and their structure
by: Dzhaliuk, N.S., et al.
Published: (2019)

Multiplication operator on a matrix polynomial
by: Mikityuk , Ya. V., et al.
Published: (1992)