Functions Determined by the Lyapunov Exponents of Families of Linear Differential Systems Continuously Depending on the Parameter Uniformly on the Half-Line

Differential Equations ◽

10.1134/s0012266117120011 ◽

2017 ◽

Vol 53 (12) ◽

pp. 1529-1542 ◽

Author(s):

V. V. Bykov

Keyword(s):

Lyapunov Exponents ◽

Half Line ◽

Differential Systems ◽

Linear Differential Systems ◽

Linear Differential

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Structure of the semicontinuity sets of the Lyapunov exponents of linear differential systems continuously depending on a parameter

Differential Equations ◽

10.1134/s0012266115100146 ◽

2015 ◽

Vol 51 (10) ◽

pp. 1397-1401 ◽

Author(s):

M. V. Karpuk

Keyword(s):

Lyapunov Exponents ◽

Differential Systems ◽

Linear Differential Systems ◽

Linear Differential

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On Linear Perturbations Decaying at Infinity and Altering the Lyapunov Exponents of Regular Linear Differential Systems

Differential Equations ◽

10.1134/s001226612104011x ◽

2021 ◽

Vol 57 (4) ◽

pp. 558-561

Author(s):

N. S. Niparko

Keyword(s):

Lyapunov Exponents ◽

Differential Systems ◽

Linear Differential Systems ◽

Linear Perturbations ◽

Linear Differential

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Two Generalized Classes of Exponentially Dichotomous Linear Differential Systems on the Time Half-Line without Uniform Estimates for the Solution Norms. I

Differential Equations ◽

10.1134/s0012266120010036 ◽

2020 ◽

Vol 56 (1) ◽

pp. 14-28

Author(s):

E. A. Barabanov ◽

E. B. Bekryaeva

Keyword(s):

Half Line ◽

Differential Systems ◽

Uniform Estimates ◽

Linear Differential Systems ◽

Linear Differential ◽

Generalized Classes

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Lyapunov Irregularity Coefficient as a Function of the Parameter for Families of Linear Differential Systems Whose Dependence on the Parameter Is Continuous Uniformly on the Time Half-Line

Differential Equations ◽

10.1134/s0012266119120012 ◽

2019 ◽

Vol 55 (12) ◽

pp. 1531-1543

Author(s):

E. A. Barabanov ◽

V. V. Bykov

Keyword(s):

Half Line ◽

Differential Systems ◽

Linear Differential Systems ◽

Linear Differential

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On the Computability of Lyapunov Exponents of Linear Differential Systems Along Geometric Time Progressions

Differential Equations ◽

10.1007/s10625-006-0005-4 ◽

2005 ◽

Vol 41 (12) ◽

pp. 1687-1693

Author(s):

A. V. Lipnitskii

Keyword(s):

Lyapunov Exponents ◽

Differential Systems ◽

Linear Differential Systems ◽

Linear Differential

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A pick matrix test for strict half-line dissipativity of linear differential systems

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)56325-9 ◽

1999 ◽

Vol 32 (2) ◽

pp. 1915-1920

Author(s):

Harry L. Trentelman ◽

Jan C. Willems

Keyword(s):

Half Line ◽

Differential Systems ◽

Linear Differential Systems ◽

Linear Differential ◽

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Exact boundaries of upper mobility of the Lyapunov exponents of linear differential systems under exponentially decaying perturbations of the coefficient matrices

Differential Equations ◽

10.1134/s0012266114100036 ◽

2014 ◽

Vol 50 (10) ◽

pp. 1300-1313 ◽

Author(s):

A. S. Voidelevich

Keyword(s):

Lyapunov Exponents ◽

Differential Systems ◽

Linear Differential Systems ◽

Linear Differential

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Necessary and sufficient conditions for the stability of Lyapunov exponents of linear differential systems with exponentially decaying perturbations

Differential Equations ◽

10.1134/s001226610702005x ◽

2007 ◽

Vol 43 (2) ◽

pp. 168-179 ◽

Author(s):

E. A. Barabanov ◽

N. S. Denisenko

Keyword(s):

Lyapunov Exponents ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Differential Systems ◽

Linear Differential Systems ◽

Linear Differential ◽

The Stability ◽

Necessary And Sufficient

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Characteristic modes of time-variable linear differential systems

2003 European Control Conference (ECC) ◽

10.23919/ecc.2003.7085015 ◽

2003 ◽

Author(s):

K. Zenger ◽

R. Ylinen

Keyword(s):

Time Variable ◽

Differential Systems ◽

Linear Differential Systems ◽

Characteristic Modes ◽

Linear Differential

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The simulation problem for high order linear differential systems

2001 European Control Conference (ECC) ◽

10.23919/ecc.2001.7076016 ◽

2001 ◽

Author(s):

T. Cotroneo ◽

J.C. Willems ◽

P. Rapisarda

Keyword(s):

Differential Systems ◽

Order Linear ◽

Linear Differential Systems ◽

Linear Differential ◽

Simulation Problem

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