Advanced search
Publication Cover
Journal of Difference Equations and Applications Volume 17, 2011 - Issue 3
Submit an article Journal homepage
291
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

Lyapunov functions in stability of nonlinear systems on time scales

Zbigniew Bartosiewicz Department of Computer Science, Białystok Technical University, Wiejska 45A, 15-351, Białystok, PolandCorrespondence[email protected]
&
Ewa Piotrowska Department of Computer Science, Białystok Technical University, Wiejska 45A, 15-351, Białystok, Poland
Pages 309-325 | Received 11 Dec 2008, Accepted 28 Mar 2009, Published online: 31 Dec 2009

Citations (13)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

Zbigniew Bartosiewicz & Ewa Piotrowska. (2013) On stabilisability of nonlinear systems on time scales. International Journal of Control 86:1, pages 139-145.
Read now

Articles from other publishers (12)

Jian-Ping Sun, Cheng-Xiu Qiang & Ya-Hong Zhao. (2023) Asymptotic stability for nonlinear time-varying systems on time scales. Journal of Mathematical Analysis and Applications, pages 127094.
Crossref
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.
Crossref
Giovanni Russo & Fabian Wirth. (2022) Matrix measures, stability and contraction theory for dynamical systems on time scales. Discrete and Continuous Dynamical Systems - B 27:6, pages 3345.
Crossref
İbrahim Adalar. (2022) Spectral problems for Sturm-Liouville operator with eigenparameter boundary conditions on time scales. Filomat 36:8, pages 2519-2529.
Crossref
Paola Lecca & Angela Re. (2021) On the asymptotic stability of advection-diffusion equations of mass transport in a bubble column bioreactor. Journal of Physics: Conference Series 2090:1, pages 012035.
Crossref
Vipin Kumar, Mohamed Djemai, Michael Defoort & Muslim Malik. (2021) Finite-time stability and stabilization results for switched impulsive dynamical systems on time scales. Journal of the Franklin Institute 358:1, pages 674-698.
Crossref
Zbigniew Bartosiewicz. (2020) Stabilization of positive nonlinear systems on time scales. Stabilization of positive nonlinear systems on time scales.
İbrahim Adalar & A. Sinan Ozkan. (2020) An interior inverse Sturm–Liouville problem on a time scale. Analysis and Mathematical Physics 10:4.
Crossref
Zbigniew Bartosiewicz. (2019) Exponential stability of nonlinear positive systems on time scales. Nonlinear Analysis: Hybrid Systems 33, pages 143-150.
Crossref
Bacem Ben Nasser, Khaled Boukerrioua, Michael Defoort, Mohamed Djemai & Mohamed Ali Hammami. (2016) State feedback stabilization of a class of uncertain nonlinear systems on non-uniform time domains. Systems & Control Letters 97, pages 18-26.
Crossref
Marc Harper & Dashiell Fryer. (2014) Lyapunov Functions for Time-Scale Dynamics on Riemannian Geometries of the Simplex. Dynamic Games and Applications 5:3, pages 318-333.
Crossref
Fatima Zohra Taousser, Michael Defoort, Boudekhil Chafi & Mohamed Djemai. (2015) Asymptotic relationship between trajectories of nominal and uncertain nonlinear systems on time scales. Asymptotic relationship between trajectories of nominal and uncertain nonlinear systems on time scales.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.