Absolute stability of Lurie indirect control large-scale systems
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摘要: 利用大系統分解方法和Lyapunov第二方法研究了一類Lurie間接控制大系統,結合Metzler矩陣的性質,建立了這類Lurie間接控制大系統的穩定性與低維矩陣穩定之間的關系,從而得到了這類Lurie間接控制大系統絕對穩定的充分條件.其結論判斷起來方便、簡捷.應用實例說明了該方法的優越性.
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關鍵詞:
- LURIE系統 /
- 絕對穩定性 /
- LYAPUNOV函數 /
- Metzler矩陣
Abstract: By using the large-scale system technique and Lyapunov second method, this paper studies a class of Lurie indirect control large-scale systems, and builds up a relationship between this kind of systems and the stability of the reduced dimensionality in accordance with the Metzler matrix. The sufficient conditions of the absolute stability about this Lurie indirect control system are obtained. The presented method is simple, and its superiority is shown by an example.-
Key words:
- Lurie system /
- absolute stability /
- Lyapunov function /
- Metzler matrix
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