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<p>For dynamic control systems with uncertain disturbances, the efficiency of two approaches to solving the problem of estimating the set-valued states of the system is analyzed. The first approach is based on the tools of set-valued analysis and uses the properties of trajectory tubes of differential inclusions. The second approach is based on the techniques of the Hukuhara derivatives for set-valued mappings. A comparison of the presented estimation techniques for obtaining external (with respect to inclusion operation) estimates of the studied reachable sets of dynamic systems is given, and the advantages and possible drawbacks of the mentioned techniques for approximate estimation of reachable sets for the studied dynamic systems with uncertainty are discussed. Bibliography&#xa0;:&#xa0; 31 titles.</p>

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ON TWO APPROACHES TO THE SOLUTION OF SET-VALUED STATE ESTIMATION PROBLEM FOR CONTROL SYSTEMS UNDER UNCERTAINTY

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Tatiana F. Filippova

摘要

For dynamic control systems with uncertain disturbances, the efficiency of two approaches to solving the problem of estimating the set-valued states of the system is analyzed. The first approach is based on the tools of set-valued analysis and uses the properties of trajectory tubes of differential inclusions. The second approach is based on the techniques of the Hukuhara derivatives for set-valued mappings. A comparison of the presented estimation techniques for obtaining external (with respect to inclusion operation) estimates of the studied reachable sets of dynamic systems is given, and the advantages and possible drawbacks of the mentioned techniques for approximate estimation of reachable sets for the studied dynamic systems with uncertainty are discussed. Bibliography :  31 titles.