Asymptotic expansions of solutions to singularly perturbed systems

I. N. Shchitov

doi:10.1007/bf01062954

Asymptotic expansions of solutions to singularly perturbed systems

Ukrainian Mathematical Journal ◽

10.1007/bf01062954 ◽

1993 ◽

Vol 45 (4) ◽

pp. 598-608

Author(s):

I. N. Shchitov

Keyword(s):

Asymptotic Expansions ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Perturbed Systems

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Asymptotic Expansions of Singularly Perturbed Systems Involving Rapidly Fluctuating Markov Chains

SIAM Journal on Applied Mathematics ◽

10.1137/s0036139993259933 ◽

1996 ◽

Vol 56 (1) ◽

pp. 277-293 ◽

Cited By ~ 57

Author(s):

R. Z. Khashinskii ◽

G. Yin ◽

Q. Zhang

Keyword(s):

Markov Chains ◽

Asymptotic Expansions ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Perturbed Systems

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Asymptotic Expansions and a New Numerical Algorithm of the Algebraic Riccati Equation for Multiparameter Singularly Perturbed Systems

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.2001.7764 ◽

2002 ◽

Vol 267 (1) ◽

pp. 209-234 ◽

Cited By ~ 13

Author(s):

Hiroaki Mukaidani ◽

Tetsu Shimomura ◽

Koichi Mizukami

Keyword(s):

Riccati Equation ◽

Numerical Algorithm ◽

Asymptotic Expansions ◽

Singularly Perturbed ◽

Algebraic Riccati Equation ◽

Singularly Perturbed Systems ◽

Perturbed Systems

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On local asymptotic expansions of solutions of singularly perturbed systems of differential equations with degeneration at a point

Nonlinear Oscillations ◽

10.1007/s11072-009-0077-1 ◽

2009 ◽

Vol 12 (2) ◽

pp. 289-295

Author(s):

M. I. Shkil’

Keyword(s):

Differential Equations ◽

Asymptotic Expansions ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Systems Of Differential Equations ◽

Perturbed Systems

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Exponential asymptotic expansions and approximations of the unstable and stable manifolds of singularly perturbed systems with the Hénon map as an example

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.166349 ◽

1998 ◽

Vol 8 (3) ◽

pp. 665-681 ◽

Cited By ~ 17

Author(s):

Alexander Tovbis ◽

Masa Tsuchiya ◽

Charles Jaffé

Keyword(s):

Asymptotic Expansions ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Hénon Map ◽

Stable Manifolds ◽

Henon Map ◽

Perturbed Systems

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Asymptotic expansions for game-theoretic Riccati equations and stabilization with disturbance attenuation for singularly perturbed systems

Systems & Control Letters ◽

10.1016/0167-6911(93)90107-h ◽

1993 ◽

Vol 20 (6) ◽

pp. 455-463 ◽

Cited By ~ 30

Author(s):

Vasile Drǎgan

Keyword(s):

Asymptotic Expansions ◽

Riccati Equations ◽

Singularly Perturbed ◽

Disturbance Attenuation ◽

Singularly Perturbed Systems ◽

Perturbed Systems ◽

Game Theoretic

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Approximate feedback design for a class of singularly perturbed systems

IEE Proceedings D Control Theory and Applications ◽

10.1049/ip-d.1982.0011 ◽

1982 ◽

Vol 129 (2) ◽

pp. 49 ◽

Cited By ~ 7

Author(s):

M.S. Mahmoud ◽

M.F. Hassan ◽

M.G. Singh

Keyword(s):

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Feedback Design ◽

Perturbed Systems

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On Linearization of Nonlinear Singularly Perturbed Systems

10.23919/acc.1986.4789218 ◽

1986 ◽

Author(s):

K. Khorasani

Keyword(s):

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Perturbed Systems

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Stability Analysis of Singularly Perturbed Systems using Slow and Fast Manifolds

1991 American Control Conference ◽

10.23919/acc.1991.4791668 ◽

1991 ◽

Cited By ~ 3

Author(s):

Kwok W. Cheung ◽

Joe H. Chow

Keyword(s):

Stability Analysis ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Perturbed Systems

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Conditions for Scale-Based Decompositions in Singularly Perturbed Systems

10.21236/ada459985 ◽

1987 ◽

Author(s):

Sheldon X. Lou ◽

George C. Verghese ◽

Alan S. Willsky ◽

Pamela G. Coxson

Keyword(s):

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Perturbed Systems

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Dynamic event‐triggered control for singularly perturbed systems

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.5622 ◽

2021 ◽

Author(s):

Tong Hua ◽

Jiang‐Wen Xiao ◽

Yan Lei ◽

Wu Yang

Keyword(s):

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Dynamic Event ◽

Perturbed Systems ◽

Event Triggered

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