旗流形上的双曲链控制集
Hyperbolic Chain Control Sets on Flag Manifolds
摘要:
本文研究了非紧半单李群旗流形上右不变控制系统的链控制集。我们证明了每个链控制集是部分(斜)双曲相关的控制流。此外,我们的特点,这些链控制集是一致的(斜)双曲线的控制流的标志类型。
英文摘要:
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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