Regions of attraction for two dimensional uncertain dynamic systems

2005 ◽  
pp. 265-301
Author(s):  
Thomas L. Vincent ◽  
Yeong Ching Lin
Keyword(s):  
Dynamic Systems ◽  
Two Dimensional ◽  
Uncertain Dynamic Systems ◽  
Regions Of Attraction

Structural Decomposition Approach for the Stability of Uncertain Dynamic Systems

1988 ◽  
Vol 55 (4) ◽  
pp. 992-994 ◽  
Author(s):  
Y. H. Chen ◽  
Chieh Hsu
Keyword(s):  
Dynamic Systems ◽  
A Priori ◽  
Parameter Variation ◽  
Stability Study ◽  
Fast Time ◽  
Time Varying ◽  
Decomposition Approach ◽  
New Approach ◽  
Uncertain Dynamic Systems ◽  
The Stability

The stability property for a class of dynamic systems with uncertain parameter variation is studied. The uncertainty can be fast time-varying and unpredictable. A new approach for stability study is proposed. The only required information on the uncertain variation is its possible bound as well as structure. That is, no a priori knowledge on the realization of the variation is needed.

scholarly journals On Inequalities of Lyapunov for Two-Dimensional Nonlinear Dynamic Systems on Time Scales

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Qiao-Luan Li ◽  
Wing-Sum Cheung ◽  
Xu-Yang Fu
Keyword(s):  
Time Scales ◽  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Type Equation ◽  
Nonlinear Dynamic Systems ◽  
Two Dimensional

We establish some new Lyapunov-type inequalities for two-dimensional nonlinear dynamic systems on time scales. As for application, boundedness of the Emden-Fowler-type equation is proved.

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