Asymptotic stability equals exponential stability, and ISS equals finite energy gain—if you twist your eyes
نویسندگان
چکیده
In this paper we show that uniformly global asymptotic stability for a family of ordinary differential equations is equivalent to uniformly global exponential stability under a suitable nonlinear change of variables. The same is shown for input-to-state stability and input-to-state exponential stability, and for input-to-state exponential stability and a nonlinear H∞ estimate.
منابع مشابه
Asymptotic Stability Equals Exponential Stability, and Iss Equals Nite Energy Gain|if You Twist Your Eyes
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