The strict stability of dynamic systems on time scales.
Sivasundaram, S. (2001)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
Displaying similar documents to “Lyapunov stability theory for dynamic systems on time scales.”
The strict stability of dynamic systems on time scales.
Stability analysis in terms of two measures for dynamic systems on time scales.
Kaymakçalan, Billûr (1993)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
On -stability of autonomous systems.
Liu, Xinzhi (1992)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
Practical Stability in Terms of Two Measures for Hybrid Dynamic Systems
Shurong Sun, Zhenlai Han, Elvan Akin-Bohner, Ping Zhao (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
We study hybrid dynamic systems on time scales. Using Lyapunov-like functions, we obtain sufficient conditions for practical stability and strict practical stability in terms of two measures for hybrid dynamic systems on time scales.
Analysis of stability problems via matrix Lyapunov functions.
Martynyuk, Anatoly A. (1990)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
Necessary and sufficient conditions for stability of Volterra integro-dynamic equation on time scales
Youssef N. Raffoul (2016)
Archivum Mathematicum
Similarity:
In this research we establish necessary and sufficient conditions for the stability of the zero solution of scalar Volterra integro-dynamic equation on general time scales. Our approach is based on the construction of suitable Lyapunov functionals. We will compare our findings with known results and provides application to quantum calculus.
-stability of dynamic equations on time scales with nonregressivity.
Choi, Sung Kyu, Goo, Yoon Hoe, Koo, Namjip (2008)
Abstract and Applied Analysis
Similarity:
Stability of solutions of a nonstandard ordinary differential system by Lyapunov's second method.
Venkatesulu, M., Srinivasu, P.D.N. (1991)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
Stability of nonlinear systems under constantly acting perturbations.
Liu, Xinzhi, Sivasundaram, S. (1995)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Exponential stability of dynamic equations on time scales.
Peterson, Allan C., Raffoul, Youssef N. (2005)
Advances in Difference Equations [electronic only]
Similarity:
Variational Lyapunov method and stability theory.
Lakshmikantham, V., Liu, X., Leela, S. (1998)
Mathematical Problems in Engineering
Similarity:
Boundedness and asymptotic stability in the large of solutions of an ordinary differential system .
Venkatesulu, M., Srinivasu, P.D.N. (1992)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
Generalized practical stability analysis of discontinuous dynamical systems
Guisheng Zhai, Anthony Michel (2004)
International Journal of Applied Mathematics and Computer Science
Similarity:
In practice, one is not only interested in the qualitative characterizations provided by the Lyapunov stability, but also in quantitative information concerning the system behavior, including estimates of trajectory bounds, possibly over finite time intervals. This type of information has been ascertained in the past in a systematic manner using the concept of practical stability. In the present paper, we give a new definition of generalized practical stability (abbreviated as GP-stability)...