Sufficient Conditions for a Dynamical System to Possess an Unbounded Solution
نویسندگان
چکیده
Presented in this paper are readily veriiable conditions under which a dynamical system of the form _ x = f(x) possesses an unbounded solution. This result is illustrated by showing it can be used to infer results about lack of global stabilizability for nonlinear control systems. The key observation in the paper is that behaviour at innnity can be studied using local methods applied to an auxiliary system.
منابع مشابه
Sufficient conditions for the existence of an unbounded solution
Readily veri"able conditions under which a dynamical system of the form x "f (x) possesses an unbounded solution are presented. The results are illustrated by showing they can be used to infer results about lack of global stabilizability for nonlinear control systems. The key observation in the paper is that behaviour at in"nity can be studied using local methods applied to an auxiliary system....
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تاریخ انتشار 2007