多個執行機構的系數無界Lurie系統和Lurie大系統的絕對穩定性

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基金項目:

國家自然科學基金資助項目(No.10671011)

北京科技大學冶金研究基金資助項目(No.2009-002)

Absolute stability of Lurie systems and Lurie large-scale systems with multiple operators and unbounded coefficients

School of Applied Science, University of Science and Technology Beijing, Beijing 100083, China

摘要: 研究了多個執行機構的系數無界Lurie間接控制系統零解的絕對穩定性.首先,把研究對象看作大系統,利用大系統分解技術,把系統分解為一些孤立子系統,通過子系統的Lyapunov函數構造出Lurie間接控制系統的Lyapunov函數,進而得到系統絕對穩定性的多個判別準則.這些判別準則既適用于多個執行機構的系數無界Lurie間接控制系統,又適用于系數有界的這類系統,還適用于常系數的這類系統.同時,將有關結果成功推廣應用于多個執行機構的系數無界Lurie間接控制大系統.
- 大系統 /
- Lurie控制系統 /
- 絕對穩定性 /
- Lyapunov方法
Abstract: The absolute stability of multi-functional Lurie indirect control systems with multiple operators and unbounded coefficients was studied. The systems were regarded as large-scale systems. Based on the decomposition technique, the considered systems were partitioned into some isolated subsystems. By making use of the Lyapunov functions of subsystems, the Lyapunov function of Lurie indirect control systems was constructed, and some stability criteria of Lurie indirect control systems were contained. The results were also extended into large-scale indirect control Lurie systems with multiple operators and unbounded coefficients.
- large-scale system /
- Lurie control system /
- absolute stability /
- Lyapunov method