Initial Time Difference Stability of Causal Differential Systems in terms of Lyapunov Functions and Lyapunov FunctionalsReport as inadecuate




Initial Time Difference Stability of Causal Differential Systems in terms of Lyapunov Functions and Lyapunov Functionals - Download this document for free, or read online. Document in PDF available to download.

Journal of Applied Mathematics - Volume 2014 2014, Article ID 832015, 7 pages -

Research Article

Department of Mathematics, Gebze Technical University, Gebze, 141-41400 Kocaeli, Turkey

Department of Mathematics, Faculty of Sciences, Yıldız Technical University, Istanbul, Turkey

Received 9 June 2014; Revised 10 November 2014; Accepted 24 November 2014; Published 22 December 2014

Academic Editor: Zhilong L. Huang

Copyright © 2014 Coşkun Yakar and Mustafa Bayram Gücen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We investigate the qualitative behavior of a perturbed causal differential equation that differsin initial position and initial time with respect to the unperturbed causal differential equations. We compare the classical notion of stability of the causal differential systems to the notion ofinitial time difference stability of causal differential systems and present a comparison result interms of Lyapunov functions. We have utilized Lyapunov functions and Lyapunov functionalin the study of stability theory of causal differential systems when establishing initial timedifference stability of the perturbed causal differential system with respect to the unperturbedcausal differential system.





Author: Coşkun Yakar and Mustafa Bayram Gücen

Source: https://www.hindawi.com/



DOWNLOAD PDF




Related documents