Cover Image

Stability of positive and monotone systems in a partially ordered space

We investigate properties of positive and monotone dynamical systems with respect to given cones in the phase space. Stability conditions for linear and nonlinear differential systems in a partially ordered space are formulated. Conditions for the positivity of dynamical systems with respect to the...

Full description

Saved in:

Bibliographic Details
Date:	2004
Main Authors:	Mazko, A. G., Мазко, А. Г.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2004
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3768
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

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

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

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

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

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

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

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

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

Construction of analogs of the Lyapunov equation for a matrix polynomial
by: Mazko, A. G., et al.
Published: (1995)

Invariant cones and stability of linear dynamical systems
by: Aliluiko, A. M., et al.
Published: (2006)

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)

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

Equivalent transformation and weighted $H_\infty$-optimization of linear descriptor 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)

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

Robust stabilization and weighted suppression of bounded disturbances in descriptor control systems
by: Kotov, T. O., et al.
Published: (2026)

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

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

The decreasing and monotone injective partial monoid on a finite chain
by: Zubairu, Muhammad Mansur, et al.
Published: (2026)

Partial stability and stabilization of dynamical systems
by: Kovalev, A. M., et al.
Published: (1995)

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

Minimization of the conjunctive normal forms of partially monotonic Boolean functions
by: A. P. Pynko
Published: (2017)

Search on partially ordered structures
by: Skobelev , V. G., et al.
Published: (1992)

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

Composition nominative modal logics of partial non-monotone predicates and their calculi
by: O. S. Shkilniak, et al.
Published: (2017)

Completeness of sequent calculi for modal logics of non-monotone partial predicates
by: O. S. Shkilniak, et al.
Published: (2016)

On monoids of monotone partial transformations of a finite chain whose domains and ranges are intervals
by: Ayık, Hayrullah, et al.
Published: (2025)

Composition nominative modal logics of partial non-monotone predicates and their calculi
by: Shkilniak, O.S., et al.
Published: (2018)

Restrictions for order of q-monotone approximation of periodic functions
by: H. A. Dziubenko
Published: (2015)

Scattering problem for a multidimensional system of first-order partial differential equations
by: Nizhnik, L. P., et al.
Published: (1999)

Two theorems in the theory of summation of numerical series by lower triangular positive monotone matrices
by: Davydov, N. A., et al.
Published: (1999)

On the stability of abstract monotone impulsive differential equations in terms of two measures
by: Dvirnyi, A. I., et al.
Published: (2011)

Bruhat Order in the Full Symmetric sln Toda Lattice on Partial Flag Space
by: Chernyakov, Y.B., et al.
Published: (2016)

$P$-Faithful Partially Ordered Sets
by: Sapelkin, A. I., et al.
Published: (2002)

Partial regularity of traces of solutions of higher-order nonlinear elliptic systems
by: Kalita, E. A., et al.
Published: (1993)

On monoids of monotone injective partial selfmaps of Ln×lex Z with co-finite domains and images
by: O. Gutik, et al.
Published: (2014)

On monoids of monotone injective partial selfmaps of Ln ×lex Z with co-finite domains and images
by: Gutik, O., et al.
Published: (2014)

Conditional stability of quasitoroidal manifolds of systems of partial differential equations
by: Tkach, B. P., et al.
Published: (1998)

On nonlinear higher order elliptic systems positive in the first derivatives
by: Kalita, E. A., et al.
Published: (1993)