How to prove the state can be bounded if the invariant set is time-vary
From
zxxkybl@126.com@21:1/5 to
All on Sun Apr 16 07:33:35 2017
Hi Professors
One of my research topics is to prove a set I designed to be invariant, and I have proved this set is invariant if it’s stationary.
But in fact, the invariant set is time-varying, so the state trajectory is in this set at the current moment, but the set will be different from the previous after some time and the state trajectory would be out of the current invariant set, which
bothers me a lot. If it’s not in the invariant set and this set is not the same, how to prove the system can be bounded stability which means the state trajectory is confined into a bounded range is a hard problem for me.
Ps: the set or this kind of sets are only invariant, not attractive. And all invariant sets can be described as some specific form.
The important point is to prove the state can be bounded if the invariant set is time-varying and the set is invariant in current moment.
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