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International Journal of Control Volume 86, 2013 - Issue 6
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Original Articles

Growth conditions for exponential stability of time-varying perturbed systems

B. GhanmiFaculty of Sciences of Sfax, Department of Mathematics, University of Sfax, Tunisia, BP 1171, Sfax, Tunisia
,
N. Hadj TaiebFaculty of Sciences of Sfax, Department of Mathematics, University of Sfax, Tunisia, BP 1171, Sfax, Tunisia
&
M.A. HammamiFaculty of Sciences of Sfax, Department of Mathematics, University of Sfax, Tunisia, BP 1171, Sfax, TunisiaCorrespondence[email protected]
Pages 1086-1097 | Received 10 May 2012, Accepted 04 Feb 2013, Published online: 16 Apr 2013

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Cheng-Xiu Qiang, Jian-Ping Sun & Ya-Hong Zhao. (2023) Exponential stability for nonlinear time-varying systems on time scales. International Journal of Control 0:0, pages 1-11.
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Hanen Damak, Nizar Hadj Taieb & Mohamed Ali Hammami. (2023) A practical separation principle for nonlinear non-autonomous systems. International Journal of Control 96:1, pages 214-222.
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Nizar Hadj Taieb. (2022) Stability analysis for time-varying nonlinear systems. International Journal of Control 95:6, pages 1497-1506.
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A. Souahi, O. Naifar, A. Ben Makhlouf & M. A. Hammami. (2019) Discussion on Barbalat Lemma extensions for conformable fractional integrals. International Journal of Control 92:2, pages 234-241.
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Abdelfettah Hamzaoui, Nizar Hadj Taieb & Mohamed Ali Hammami. Practical asymptotic stability for time-varying nonlinear systems. International Journal of Control 0:0, pages 1-13.
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Articles from other publishers (21)

A. Kicha, M. A. Hammami & I. -E. Abbes. (2023) Practical Semiglobal Uniform Exponential Stability Of Nonlinear Nonautonomous Systems. Ukrainian Mathematical Journal 75:5, pages 682-702.
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Gökhan Şahan. (2023) Exponential stability and boundedness of nonlinear perturbed systems by unbounded perturbation terms. Journal of the Franklin Institute 360:13, pages 10275-10296.
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A. Kicha, M. A. Hammami & I.-E. Abbes. (2023) Practical semiglobal uniform exponential stability of nonlinear nonautonomous systems. Ukrains’kyi Matematychnyi Zhurnal 75:5, pages 596-613.
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Cao Thanh Tinh, Do Duc Thuan, Nguyen Khoa Son & Le Trung Hieu. (2023) Practical Exponential Stability of Nonlinear Nonautonomous Differential Equations Under Perturbations. Mediterranean Journal of Mathematics 20:2.
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Mekki Hammi, Mohamed Ali Hammami & Abbes Imad Eddine. (2023) Asymptotic behaviors of solutions of a class of time-varying differential equations. Georgian Mathematical Journal 30:1, pages 95-109.
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Cheng-Xiu Qiang, Jian-Ping Sun & Ya-Hong Zhao. (2023) Exponential stability analysis for nonlinear time-varying perturbed systems on time scales. AIMS Mathematics 8:5, pages 11131-11150.
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Abdellatif Ben Makhlouf, M A Hammami & M Hammi. (2022) A new approach for stabilization of control-affine systems via integral inequalities. IMA Journal of Mathematical Control and Information 39:3, pages 837-860.
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Gokhan Sahan & Derya Ozdemir. (2022) Uniform Asymptotic Stability by Indefinite Lyapunov Functions. Uniform Asymptotic Stability by Indefinite Lyapunov Functions.
Taieb HadjN.N., M.A. Hammami & M. Hammi. (2022) On the global uniform stability analysis of non-autonomous dynamical systems: A survey. Mathematica Moravica 26:2, pages 1-48.
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Abdelfettah Hamzaoui, Nizar Hadj Taieb & Mohamed Ali Hammami. (2022) Practical partial stability of time-varying systems. Discrete and Continuous Dynamical Systems - B 27:7, pages 3585.
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A. Dorgham, M. Hammi & M. A. Hammami. (2021) Asymptotic Behavior of a Class of Perturbed Differential Equations. Ukrainian Mathematical Journal 73:5, pages 731-745.
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Mondher Benjemaa, Wided Gouadri & Mohamed Ali Hammami. (2021) New results on the uniform exponential stability of nonautonomous perturbed dynamical systems. International Journal of Robust and Nonlinear Control 31:12, pages 5563-5579.
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Nizar Hadj Taieb. (2021) Indefinite derivative for stability of time-varying nonlinear systems. IMA Journal of Mathematical Control and Information 38:2, pages 534-551.
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A. Dorgham, M. Hammi & M. A. Hammami. (2021) Asymptotic behavior of a class of perturbed differential equations. Ukrains’kyi Matematychnyi Zhurnal 73:5, pages 627-639.
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Boulbaba Ghanmi, Imed Basdouri, Tarek Fajraoui & Lotfi Souden. (2021) Some results on the practical α-exponential stability of nonlinear systems. Rocky Mountain Journal of Mathematics 51:2.
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B. Ghanmi. (2019) On the Practical h-stability of Nonlinear Systems of Differential Equations. Journal of Dynamical and Control Systems 25:4, pages 691-713.
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S. Wangrat & P. Niamsup. (2018) Exponentially practical stability of discrete time singular system with delay and disturbance. Advances in Difference Equations 2018:1.
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Abdourazek Souahi, Abdellatif Ben Makhlouf & Mohamed Ali Hammami. (2017) Stability analysis of conformable fractional-order nonlinear systems. Indagationes Mathematicae 28:6, pages 1265-1274.
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Sirilak Wangrat & Piyapong Niamsup. (2016) Exponentially practical stability of impulsive discrete time system with delay. Advances in Difference Equations 2016:1.
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A. Ben Makhlouf & M. A. Hammami. (2014) A nonlinear inequality and application to global asymptotic stability of perturbed systems. Mathematical Methods in the Applied Sciences 38:12, pages 2496-2505.
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O. Naifar, A. Ben Makhlouf & M. A. Hammami. (2015) Practical stability for a class of nonlinear time varying systems including delayed perturbation. Practical stability for a class of nonlinear time varying systems including delayed perturbation.

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