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<p>We provide an alternative characterization of the invariance entropy for <i>uncertain</i> control systems via covers. We also introduce dimension types of invariance entropies and give a dimension-like characterization of the invariance entropy for <i>uncertain</i> control systems. Moreover, we present four versions of measure-theoretic invariance entropies, give an inverse variational principle of the measure-theoretic Bowen invariance entropy, and obtain four positive variational principles of invariance entropies of subsets with finite elements for <i>uncertain</i> control systems.</p>

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Dimension types of invariance entropies for uncertain control systems

  • 期刊论文

  • 发表日期：

    2025年9月22日

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  • Xingfu Zhong,
  • Yu Huang

摘要

We provide an alternative characterization of the invariance entropy for uncertain control systems via covers. We also introduce dimension types of invariance entropies and give a dimension-like characterization of the invariance entropy for uncertain control systems. Moreover, we present four versions of measure-theoretic invariance entropies, give an inverse variational principle of the measure-theoretic Bowen invariance entropy, and obtain four positive variational principles of invariance entropies of subsets with finite elements for uncertain control systems.