Combining Methods of Lyapunov for  Exponential Stability of Linear Dynamic Systems on Time Scales

Nguyen Ngoc Huy; Dang Dinh Chau

doi:10.4236/am.2014.521323

Combining Methods of Lyapunov for Exponential Stability of Linear Dynamic Systems on Time Scales

Applied Mathematics ◽

10.4236/am.2014.521323 ◽

2014 ◽

Vol 05 (21) ◽

pp. 3452-3459

Author(s):

Nguyen Ngoc Huy ◽

Dang Dinh Chau

Keyword(s):

Exponential Stability ◽

Time Scales ◽

Dynamic Systems ◽

Linear Dynamic Systems ◽

Linear Dynamic ◽

Combining Methods

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Connections between Ulam-Hyers Stability and Uniform Exponential Stability of Time Varying Linear Dynamic Systems Over Time Scales

Sohag Journal of Mathematics ◽

10.18576/sjm/060101 ◽

2019 ◽

Vol 6 (1) ◽

pp. 1-4

Author(s):

Syed Omar Shah ◽

Akbar Zada

Keyword(s):

Exponential Stability ◽

Time Scales ◽

Dynamic Systems ◽

Time Varying ◽

Uniform Exponential Stability ◽

Linear Dynamic Systems ◽

Linear Dynamic ◽

Over Time

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Uniform Exponential Stability for Time Varying Linear Dynamic Systems over Time Scales

Journal of Analysis & Number Theory ◽

10.18576/jant/050205 ◽

2017 ◽

Vol 5 (2) ◽

pp. 115-118 ◽

Cited By ~ 1

Author(s):

Syed Omar Shah ◽

Akbar Zada

Keyword(s):

Exponential Stability ◽

Time Scales ◽

Dynamic Systems ◽

Time Varying ◽

Uniform Exponential Stability ◽

Linear Dynamic Systems ◽

Linear Dynamic ◽

Over Time

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WKB Estimates for 2×2 Linear Dynamic Systems on Time Scales

Advances in Difference Equations ◽

10.1155/2008/712913 ◽

2008 ◽

Vol 2008 ◽

pp. 1-13 ◽

Cited By ~ 1

Author(s):

Gro Hovhannisyan

Keyword(s):

Time Scales ◽

Dynamic Systems ◽

Linear Dynamic Systems ◽

Linear Dynamic

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ASYMPTOTIC EQUIVALENCE BETWEEN TWO LINEAR DYNAMIC SYSTEMS ON TIME SCALES

Bulletin of the Korean Mathematical Society ◽

10.4134/bkms.2014.51.4.1075 ◽

2014 ◽

Vol 51 (4) ◽

pp. 1075-1085

Author(s):

Sung Kyu Choi ◽

Namjip Koo

Keyword(s):

Time Scales ◽

Dynamic Systems ◽

Asymptotic Equivalence ◽

Linear Dynamic Systems ◽

Linear Dynamic

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On existence of optimal control governed by a class of the first-order linear dynamic systems on time scales

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.08.009 ◽

2009 ◽

Vol 215 (6) ◽

pp. 2070-2081 ◽

Cited By ~ 10

Author(s):

Zaidong Zhan ◽

W. Wei

Keyword(s):

Optimal Control ◽

Time Scales ◽

Dynamic Systems ◽

Order Linear ◽

Linear Dynamic Systems ◽

First Order ◽

Linear Dynamic ◽

Existence Of Optimal Control

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On the stability of linear dynamic systems on time scales

The Journal of Difference Equations and Applications ◽

10.1080/10236190802008528 ◽

2009 ◽

Vol 15 (2) ◽

pp. 167-183 ◽

Cited By ~ 6

Author(s):

Sung Kyu Choi ◽

Namjip Koo

Keyword(s):

Time Scales ◽

Dynamic Systems ◽

Linear Dynamic Systems ◽

Linear Dynamic ◽

The Stability

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Instability results for slowly time varying linear dynamic systems on time scales

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.06.045 ◽

2007 ◽

Vol 328 (2) ◽

pp. 1278-1289 ◽

Cited By ~ 12

Author(s):

Jeffrey J. DaCunha

Keyword(s):

Time Scales ◽

Dynamic Systems ◽

Time Varying ◽

Linear Dynamic Systems ◽

Linear Dynamic

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\Psi-uniformly stability for time varying linear dynamic systems on time scales

International Mathematical Forum ◽

10.12988/imf.2007.07084 ◽

2007 ◽

Vol 2 ◽

pp. 963-972 ◽

Cited By ~ 2

Author(s):

I. B. Yasar ◽

A. Tuna

Keyword(s):

Time Scales ◽

Dynamic Systems ◽

Time Varying ◽

Linear Dynamic Systems ◽

Linear Dynamic

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Oscillation and nonoscillation criteria for linear dynamic systems on time scales

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.01.014 ◽

2010 ◽

Vol 59 (8) ◽

pp. 2552-2565 ◽

Cited By ~ 7

Author(s):

Sheng-Chen Fu ◽

Ming-Li Lin

Keyword(s):

Time Scales ◽

Dynamic Systems ◽

Linear Dynamic Systems ◽

Linear Dynamic ◽

Oscillation And Nonoscillation Criteria ◽

Oscillation And Nonoscillation

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Stability of Linear Dynamic Systems on Time Scales

Advances in Difference Equations ◽

10.1155/2008/670203 ◽

2008 ◽

Vol 2008 (1) ◽

pp. 670203 ◽

Cited By ~ 3

Author(s):

SungKyu Choi ◽

DongMan Im ◽

Namjip Koo

Keyword(s):

Time Scales ◽

Dynamic Systems ◽

Linear Dynamic Systems ◽

Linear Dynamic

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