Hyperbolic Chain Control Sets on Flag Manifolds
classification
🧮 math.OC
math.DS
keywords
controlchainflaghyperbolicsetsflowmanifoldsskew-
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In this paper we study the chain control sets of right-invariant control systems on the flag manifolds of a non-compact semisimple Lie group. We prove that each chain control set is partially (skew-) hyperbolic over the associated control flow. Moreover, we characterize those chain control sets that are uniformly (skew-) hyperbolic in terms of the flag type of the control flow.
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