Sufficient Conditions for Stability of Periodic Linear Impulsive Delay Systems

 
PIIS000523100002776-7-1
DOI10.31857/S000523100002776-7
Publication type Article
Status Published
Authors
Affiliation: S.P.Timoshenko Institute of mechanics
Address: Ukraine, Kiev
Affiliation: Van yüzüncü yil üniversitesi
Address: Turkey, Van
Journal nameAvtomatika i Telemekhanika
EditionIssue 11
Pages47-66
Abstract

     

Keywords
Received30.11.2018
Publication date05.12.2018
Cite   Download pdf To download PDF you should sign in
Размещенный ниже текст является ознакомительной версией и может не соответствовать печатной

views: 1346

Readers community rating: votes 0

1. Samojlenko A.M., Perestyuk N.A. Differentsial'nye uravneniya s impul'snym vozdejstviem. Kiev: Vischa shkola, 1987.

2. Lakshmikantham V., Bainov D.D., Simeonov P.S. Theory of impulsive differential equations/Series in Modern Applied Mathematics, 6.World Scientific Publishing Co., Inc., Teaneck, N.J., 1989.

3. Dvirnyi A.I., Slyn’ko V.I. Application of Lyapunov’s direct method to the study of the stability of solutions to systems of impulsive differential equations // Math. Notes 2014. V. 96. No. 1–2. P. 26–37.

4. Dvirnyj A.I., Slyn'ko V.I. Ob ustojchivosti po nelinejnomu kvaziodnorodnomu priblizheniyu differentsial'nykh uravnenij s impul'snym vozdejstviem // Matem. sb. 2014. T. 205. № 6. C. 109–138.

5. Dvirnyi A.I., Slyn’ko V.I. Stability Criteria for Quasilinear Impulsive Systems // Int. Appl. Mech. 2004. V. 40. No. 5. P. 592–599.

6. Ignatyev A.O. On the stability of invariant sets of systems with impulse effect // Nonlinear Anal. 2008. V. 69. P. 53–72.

7. Tun¸c C., Ahyan T. Global existence and boundedness on a certain nonlinear integrodifferential equation of second order // Dyn. Contin. Discret. Impuls. Syst. Ser. A Math. Anal. 2017. V. 24. No. 1. P. 69–77.

8. Tun¸c C., AltunY. Asymptotic stability in neutral differential equations with multiple delays // J. Math. Anal. 2016. V. 7. No. 5. P. 40–53.

9. Stamova Ivanka. Stability analysis of impulsive functional differential equations. De Gruyter Expositions in Mathematics, 52. Walter de Gruyter GmbH and Co. KG, Berlin, 2009.

10. Ivanov I.L., Slyn’ko V.I. A stability criterion for autonomous linear time-lagged systems subject to periodic impulsive force // Int. Appl. Mech. 2013. V. 49. No. 6. P. 732–742.

11. Ivanov I.L., Slyn’ko V.I. Stability criterion of linear systems with delay and twoperiodic impulse excitation // Autom. Remote Control. 2012. No. 9. P. 20–34.

12. Slyn’ko V.I. On conditions for the stability of motion of linear impulsive systems with delay // Int. Appl. Mech. 2005. V. 41. No. 6. P. 130–138.

13. Chetaev N.G. Ustojchivost' dvizheniya. M.: Nauka, 1965.

14. Liu X., Willms A. Stability analysis and applications to large scale impulsive systems: a new approach // Canad. Appl. Math. Quart. 1995. V. 3. No. 4. P. 419–444.

15. Valeev K.G., Martynyuk A.A. Prilozhenie metoda vozmuschenij k probleme postroeniya funktsij Lyapunova // Mat. fizika. 1975. T. 17. S. 18–41.

16. Valeev K.G. , Finin G.S. Postroenie funktsij Lyapunova. Kiev: Nauk. dumka, 1981.

Система Orphus

Loading...
Up