Invariance Entropy of Hyperbolic Control Sets

Adriano Da Silva; Christoph Kawan

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arXiv · 1408.2416

Invariance Entropy of Hyperbolic Control Sets

Adriano Da Silva·Christoph Kawan

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Abstract

In this paper, we improve the known estimates for the invariance entropy of a nonlinear control system. For sets of complete approximate controllability we derive an upper bound in terms of Lyapunov exponents and for uniformly hyperbolic sets we obtain a similar lower bound. Both estimates can be applied to hyperbolic chain control sets, and we prove that under mild assumptions they can be merged into a formula.

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Adriano Da Silva, Christoph Kawan. 2014-08-11. Invariance Entropy of Hyperbolic Control Sets. https://arxiv.org/abs/1408.2416

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