Lyapunov stability theory for dynamic systems on time scales.

Kaymakçalan, Billur

Displaying similar documents to “Lyapunov stability theory for dynamic systems on time scales.”

The strict stability of dynamic systems on time scales.

Sivasundaram, S. (2001)

Journal of Applied Mathematics and Stochastic Analysis

Similarity:

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 $(h_{0}, h)$ -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.