- 期刊
STABILITY IMPLICATIONS ON THE ASYMPTOTIC BEHAVIOR OF NONLINEAR SYSTEMS
並列摘要
In this paper we generalize Bownds' Theorems (1) to the systems dY(t)/dt=A(t) Y(t) and dX(t)/dt=A(t) X(t)+F(t,X(t)). Moreover we also show that there always exists a solution X(t) of dX/dt=A(t)X+B(t) for which (The equation is abbreviated) if there exists a solution Y(t) for which (The equation is abbreviated).
並列關鍵字
stable ； norm ； linear systems ； null solution ； Schauder-Tychonoff Theorem ； uniformly converges ； equicontinuous延伸閱讀
- Silva, G. N., Pinho, M. D. R. D., Teixeira, M. A., Messias, M., & Macau, E. (2011). Nonlinear Systems: Asymptotic Methods, Stability, Chaos, Control, and Optimization. Mathematical Problems in Engineering, 2011(), 551-554-133. https://doi.org/10.1155/2011/498751
- Wu, M., Yang, Z. F., & Lin, W. (2013). Exact Asymptotic Stability Analysis and Region-of-Attraction Estimation for Nonlinear Systems. Abstract and Applied Analysis, 2013(), 661-670. https://doi.org/10.1155/2013/146137
- Wu, J. W. (1999). On the Asymptotic Behavior and Stability Theory of Analytic Dynamical Systems. 中原學報, 27(3), 1-3. https://doi.org/10.6358/JCYU.199909.0001
- GRUJIC, L. T. (1997). NEW APPROACH TO ASYMPTOTIC STABILITY: TIME-VARYING NONLINEAR SYSTEMS. International Journal of Mathematics and Mathematical Sciences, 1997(), 347-366. https://doi.org/10.1155/S016117129700046X
- Seroka, E. (2015). Asymptotic Stabilizability of a Class of Stochastic Nonlinear Hybrid Systems. International Journal of Stochastic Analysis, 2015(), 14-22. https://doi.org/10.1155/2015/231214