About: Small control property

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For applied mathematics, in nonlinear control theory, a non-linear system of the form is said to satisfy the small control property if for every there exists a so that for all there exists a so that the time derivative of the system's Lyapunov function is negative definite at that point. In other words, even if the control input is arbitrarily small, a starting configuration close enough to the origin of the system can be found that is asymptotically stabilizable by such an input.

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  • For applied mathematics, in nonlinear control theory, a non-linear system of the form is said to satisfy the small control property if for every there exists a so that for all there exists a so that the time derivative of the system's Lyapunov function is negative definite at that point. In other words, even if the control input is arbitrarily small, a starting configuration close enough to the origin of the system can be found that is asymptotically stabilizable by such an input. (en)
  • 小控制信號特性（small control property）簡稱SCP，是非線性控制理論中的詞語。在型式的非線性系統，若針對每一個，都存在，讓所有滿足的狀態，都有可以讓系統在該狀態下的李亞普諾夫函數對時間的微分為負定。 簡單來說，小控制信號特性是指考慮任意小的控制信號，只要起始狀態和系統原點的距離夠近，該控制信號都可以讓系統漸近穩定。 (zh)
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  • For applied mathematics, in nonlinear control theory, a non-linear system of the form is said to satisfy the small control property if for every there exists a so that for all there exists a so that the time derivative of the system's Lyapunov function is negative definite at that point. In other words, even if the control input is arbitrarily small, a starting configuration close enough to the origin of the system can be found that is asymptotically stabilizable by such an input. (en)
  • 小控制信號特性（small control property）簡稱SCP，是非線性控制理論中的詞語。在型式的非線性系統，若針對每一個，都存在，讓所有滿足的狀態，都有可以讓系統在該狀態下的李亞普諾夫函數對時間的微分為負定。 簡單來說，小控制信號特性是指考慮任意小的控制信號，只要起始狀態和系統原點的距離夠近，該控制信號都可以讓系統漸近穩定。 (zh)
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  • Small control property (en)
  • 小控制信號特性 (zh)
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