- 期刊
STABILITY OF NONLINEAR SYSTEMS UNDER CONSTANTLY ACTING PERTURBATIONS
摘要
In this paper, we investigate total stability, attractivity and uniform stability in terms of two measures of nonlinear differential systems under constant perturbations. Some sufficient conditions are obtained using Lyapunov's direct method. An example is also worked out.
延伸閱讀
- TRAORE, O. (2006). NULL CONTROLLABILITY OF A NONLINEAR POPULATION DYNAMICS PROBLEM. International Journal of Mathematics and Mathematical Sciences, 2006(), 94-113-106. https://doi.org/10.1155/IJMMS/2006/49279
- Jarad, F., Abdeljawad, T., Baleanu, D., & Bicen, K. (2012). On the Stability of Some Discrete Fractional Nonautonomous Systems. Abstract and Applied Analysis, 2012(), 913-921-360. https://doi.org/10.1155/2012/476581
- Li, Y., & Zhang, H. (2014). Positive Solutions for a Nonlinear Higher Order Differential System with Coupled Integral Boundary Conditions. Journal of Applied Mathematics, 2014(), 1035-1041-897. https://doi.org/10.1155/2014/901094
- Kotta, Ü., & Mullari, T. (2006). Equivalence of Realizability Conditions for Nonlinear Control Systems. Proceedings of the Estonian Academy of Sciences. Physics, Mathematics, 55(1), 24-42. https://www.airitilibrary.com/Article/Detail?DocID=14060086-200603-201011080015-201011080015-24-42
- GIL, M., AILON, A., & AHN, S. (1998). On Absolute Stability of Nonlinear Systems with Small Delays. Mathematical Problems in Engineering, 1998(), 423-435. https://doi.org/10.1155/S1024123X98000908