INVARIANCE PROPERTY WITH APPLICATION TO SOLVING CONTROL PROBLEMS

V. N. USHAKOV; S. A. BRYKALOV; A. R. MATVIYCHUK; A. V. USHAKOV

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INVARIANCE PROPERTY WITH APPLICATION TO SOLVING CONTROL PROBLEMS

机译：不变性在解决控制问题中的应用

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We consider controlled systems and differential inclusions on a bounded time interval. The investigated problem brings the controlled system to a fixed compact target set in the phase space at a finite time moment. It is known that integral funnels of controlled systems and differential inclusions satisfy the invariance property. We discuss application of the invariance property to constructing approximations to integral funnels. Examples of nonlinear controlled systems are considered in which the proposed algorithm is realized.

机译：我们在有限的时间间隔内考虑受控系统和微分包含。研究的问题将控制系统在有限的时间点带到相空间中的固定紧凑目标。众所周知，受控系统的积分漏斗和微分包含物满足不变性。我们讨论了不变性属性在构造积分漏斗近似中的应用。考虑了实现所提出算法的非线性控制系统的示例。

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来源
《International game theory review》 |2014年第2期|1440013.1-1440013.19|共19页
作者
V. N. USHAKOV; S. A. BRYKALOV; A. R. MATVIYCHUK; A. V. USHAKOV;
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作者单位

Department of Dynamical Systems Institute of Mathematics and Mechanics of Ural Branch of the Russian Academy of Sciences and Ural Federal University 16, S.Kovalevskaja street, Ekaterinburg, 620990, Russia;

Department of Dynamical Systems Institute of Mathematics and Mechanics of Ural Branch of the Russian Academy of Sciences and Ural Federal University 16, S.Kovalevskaja street, Ekaterinburg, 620990, Russia;

Department of Dynamical Systems Institute of Mathematics and Mechanics of Ural Branch of the Russian Academy of Sciences and Ural Federal University 16, S.Kovalevskaja street, Ekaterinburg, 620990, Russia;

Department of Dynamical Systems Institute of Mathematics and Mechanics of Ural Branch of the Russian Academy of Sciences and Ural Federal University 16, S.Kovalevskaja street, Ekaterinburg, 620990, Russia;

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正文语种 eng
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关键词
Controlled system; attainability set; integral funnels; invariance;

机译：控制系统;可达性集整体漏斗;不变性;

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INVARIANCE PROPERTY WITH APPLICATION TO SOLVING CONTROL PROBLEMS

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