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A Lyapunov-Like Characterization of Asymptotic Controllability | Synapse

May 1, 1983

类似于Lyapunov的渐进可控性特征

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Abstract

证明了，如果且仅当存在一个正定的连续状态泛函，其导数可以被适当选择的控制使其为负，则Rⁿ中的控制系统是渐进可控于原点的。

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爱德华·D·索塔格（Eduardo D. Sontag）研究了这个问题。

synapsesocial.com/papers/6a12a005ea48cb855a3534d1 https://doi.org/https://doi.org/10.1137/0321028

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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Principles of Optimal Control Theory1978 · 321 citations
2A Characterization of the Reachable Set for Nonlinear Control Systems1980 · 37 citations
3Stability in Nonlinear Control Systems1961 · 118 citations
4Stability Theory by Liapunov’s Direct Method1977 · 1,095 citations
5Optimal Control of Differential and Functional Equations1972 · 1,269 citations