Localization of spectrum and stability of certain classes of dynamical systems
We develop a method for the localization of spectra of multiparameter matrix pencils and matrix functions, which reduces the problem to the solution of linear matrix equations and inequalities. We formulate algebraic conditions for the stability of linear systems of differential, difference, and dif...
Saved in:
| Date: | 1996 |
|---|---|
| Main Authors: | Mazko, A. G., Мазко, А. Г. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5250 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Localization of the spectrum and representation of solutions of linear dynamical systems
by: Mazko, A. G., et al.
Published: (1998)
by: Mazko, A. G., et al.
Published: (1998)
Stability Criteria and Localization of the Matrix Spectrum in Terms of Trace Functions
by: Mazko, A. G., et al.
Published: (2014)
by: Mazko, A. G., et al.
Published: (2014)
Distribution of the spectrum and representation of solutions of degenerate dynamical systems
by: Mazko, A. G., et al.
Published: (1998)
by: Mazko, A. G., et al.
Published: (1998)
Attainment of weighted performance measures and spectrum localization in descriptor control systems
by: Mazko, A., et al.
Published: (2026)
by: Mazko, A., et al.
Published: (2026)
Stability and Comparison of States of Dynamical Systems with Respect to a Time-Varying Cone
by: Mazko, A. G., et al.
Published: (2005)
by: Mazko, A. G., et al.
Published: (2005)
Stability of Linear Positive Systems
by: Mazko, A. G., et al.
Published: (2001)
by: Mazko, A. G., et al.
Published: (2001)
Stability of positive and monotone systems in a partially ordered space
by: Mazko, A. G., et al.
Published: (2004)
by: Mazko, A. G., et al.
Published: (2004)
Cone inequalities and stability of differential systems
by: Mazko, A. G., et al.
Published: (2008)
by: Mazko, A. G., et al.
Published: (2008)
Localization of eigenvalues of polynomial matrices
by: Mazko, A. G., et al.
Published: (2010)
by: Mazko, A. G., et al.
Published: (2010)
Invariant cones and stability of linear dynamical systems
by: Aliluiko, A. M., et al.
Published: (2006)
by: Aliluiko, A. M., et al.
Published: (2006)
Stability Criteria and Localization of the Matrix Spectrum in Terms of Trace Functions
by: O. G. Mazko
Published: (2014)
by: O. G. Mazko
Published: (2014)
Positive and Monotone Systems in a Partially Ordered Space
by: Mazko, A. G., et al.
Published: (2003)
by: Mazko, A. G., et al.
Published: (2003)
Weighted damping of external and initial disturbances in descriptor control systems
by: Mazko, A. G., et al.
Published: (2026)
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)
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)
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)
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)
by: Mazko, A., et al.
Published: (2024)
On robust stabilization of a certain class of nonlinear discrete systems
by: V. I. Korobov, et al.
Published: (2015)
by: V. I. Korobov, et al.
Published: (2015)
Robust stabilization and weighted suppression of bounded
disturbances in descriptor control systems
by: Kotov, T. O., et al.
Published: (2026)
by: Kotov, T. O., et al.
Published: (2026)
Construction of analogs of the Lyapunov equation for a matrix polynomial
by: Mazko, A. G., et al.
Published: (1995)
by: Mazko, A. G., et al.
Published: (1995)
Stability estimates of certain methods of approximation by local splines
by: Khizha , A. L., et al.
Published: (1988)
by: Khizha , A. L., et al.
Published: (1988)
Evaluation of the weighted level of damping of bounded disturbances in descriptor
systems
by: Mazko, A. G., et al.
Published: (2018)
by: Mazko, A. G., et al.
Published: (2018)
On exponential stability of the trivial torus for a certain class of nonlinear impulsive systems
by: O. V. Kapustian, et al.
Published: (2017)
by: O. V. Kapustian, et al.
Published: (2017)
New criteria of stability and spectra localization of linear systems
by: O. H. Mazko
Published: (2013)
by: O. H. Mazko
Published: (2013)
Semi-inversion and properties of matrices invariants
by: Mazko , A. G., et al.
Published: (1988)
by: Mazko , A. G., et al.
Published: (1988)
On the Spectrum of Certain Hadamard Manifolds
by: Ballmann, Werner, et al.
Published: (2023)
by: Ballmann, Werner, et al.
Published: (2023)
On structural transformations of equations of perturbed motion for a certain class of dynamical systems
by: Koshlyakov, V. N., et al.
Published: (1997)
by: Koshlyakov, V. N., et al.
Published: (1997)
Certain theorems on stabilization of the Cauchy problem solutions for parabolic Shilovian systems in the classes of generalized functions
by: Gorodetsky, V. V., et al.
Published: (1987)
by: Gorodetsky, V. V., et al.
Published: (1987)
Structure of certain classes of groups with locally cyclic Abelian subgroups
by: Kuzennyi, N. F., et al.
Published: (1999)
by: Kuzennyi, N. F., et al.
Published: (1999)
Stabilization systems with uncertain coefficients and dynamic feedback
by: O. H. Mazko, et al.
Published: (2014)
by: O. H. Mazko, et al.
Published: (2014)
Transformations and inertia of solutions to linear matrix equations
by: Mazko, A. G., et al.
Published: (1993)
by: Mazko, A. G., et al.
Published: (1993)
On the stability of dynamic systems with certain switchings, which consist of linear subsystems without delay
by: Ja. Khusainov, et al.
Published: (2021)
by: Ja. Khusainov, et al.
Published: (2021)
On information complexity of certain classes of operator equations
by: Solodkii, S. G., et al.
Published: (1997)
by: Solodkii, S. G., et al.
Published: (1997)
Quotient groups of locally graded groups and groups of certain Kurosh-Chernikov classes
by: Trebenko, D. Ya., et al.
Published: (1998)
by: Trebenko, D. Ya., et al.
Published: (1998)
On stability of a toroidal manifold for a class of dynamical systems
by: M. M. Perestiuk, et al.
Published: (2016)
by: M. M. Perestiuk, et al.
Published: (2016)
Department of dynamics and stability of multidimensional system in the Institute of Mathematics of NASU – 50
by: I. O. Lukovskyi, et al.
Published: (2015)
by: I. O. Lukovskyi, et al.
Published: (2015)
Determining the exact boundary of the stability domain of a class of dynamical systems
by: L. T. Movchan
Published: (2017)
by: L. T. Movchan
Published: (2017)
Quotient Groups of Groups of Certain Classes
by: Trebenko, D. Ya., et al.
Published: (2000)
by: Trebenko, D. Ya., et al.
Published: (2000)
Criteria for the Asymptotic Stability of Solutions of Dynamical Systems
by: Valeyev, K. G., et al.
Published: (2000)
by: Valeyev, K. G., et al.
Published: (2000)
On Gevrais classes of certain self-adjoint differential operators with degeneration
by: Izvekov, I. G., et al.
Published: (1993)
by: Izvekov, I. G., et al.
Published: (1993)
Similar Items
-
Localization of the spectrum and representation of solutions of linear dynamical systems
by: Mazko, A. G., et al.
Published: (1998) -
Stability Criteria and Localization of the Matrix Spectrum in Terms of Trace Functions
by: Mazko, A. G., et al.
Published: (2014) -
Distribution of the spectrum and representation of solutions of degenerate dynamical systems
by: Mazko, A. G., et al.
Published: (1998) -
Attainment of weighted performance measures and spectrum localization in descriptor control systems
by: Mazko, A., et al.
Published: (2026) -
Stability and Comparison of States of Dynamical Systems with Respect to a Time-Varying Cone
by: Mazko, A. G., et al.
Published: (2005)