- 期刊
CONE VALUED LYAPUNOV FUNCTIONS AND LIPSCHITZ STABILITY OF NONLINEAR SYSTEMS OF DIFFERENTIAL EQUATIONS
摘要
We introduce a new comparison result which will be an important tool when we apply cone valued Lyapunov like functions. We also introduce new concepts of Ø_0-uniform Lipschitz stability and (λ, λ, Ø_0)-practical stability and employ our comparison result to carry out stability analysis of nonlinear systems. Our results are also applicable to nonlinear perturbed systems.
延伸閱讀
- Zhao, X., Deng, F., & Zhong, X. (2014). LaSalle-Type Theorems for General Nonlinear Stochastic Functional Differential Equations by Multiple Lyapunov Functions. Abstract and Applied Analysis, 2014(), 367-377-735. https://doi.org/10.1155/2014/486191
- Cao, Y., & Bai, C. (2014). Existence Results for a Coupled System of Nonlinear Fractional Differential Equations in Banach Spaces. Journal of Applied Mathematics, 2014(), 24-32-402. https://doi.org/10.1155/2014/463148
- Wan, Y., & Liu, Y. J. (2010). On Nonlinear Boundary Value Problems for Functional Difference Equations with p-Laplacian. Discrete Dynamics in Nature and Society, 2010(), 602-613. https://doi.org/10.1155/2010/396840
- Panikhom, S., & Sujitjorn, S. (2012). Numerical Approach to Construction of Lyapunov Function for Nonlinear Stability Analysis. Research Journal of Applied Sciences, Engineering and Technology, 4(17), 2915-2919. https://www.airitilibrary.com/Article/Detail?DocID=20407467-201209-201512070005-201512070005-2915-2919
- Kisel'Ák, J. (2013). Lyapunov-Type Inequality for Third-Order Half-Linear Differential Equations. Tamkang Journal of Mathematics, 44(4), 351-357. https://doi.org/10.5556/j.tkjm.44.2013.946