Necessary Conditions for Global Feedback Control
نویسنده
چکیده
In this paper we employ the topological concepts of index of an equilibrium point of a vector eld and of the Conley index of an isolated invariant set of a vector eld with the purpose of deriving necessary conditions for the design of global control dynamics. Our results are a generalization of those of Brockett, Coron and others, which were derived for the special case of stabilization.
منابع مشابه
Necessary and sufficient conditions for robust global asymptotic stabilization of discrete - time systems †
†A *C We give Lyapunov-like conditions for non-uniform in time output stabilization of discrete-time systems. Particularly, it is proved that for a discrete-time control system there exists a (continuous) output stabilizing feedback if and only if there exists a (strong) output control Lyapunov function (OCLF). Moreover, strategies for the construction of continuous robust feedback stabilizers ...
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