一类非线性组合大系统的稳定性
Stability of a Class of Nonlinear Large Scale Composite Systems
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摘要: 本文研究一类比较广泛的非线性组合大系统的稳定性问题.基于矩阵代数Riccati 方程存在对称正定解的新判据(引理2),给出了检验这类非线性组合大系统稳定性的新准 则,所给出的稳定性准则只涉及子系统的稳定性以及子系统之间的互联项,因此,当应用该准 则检验这类非线性组合大系统的稳定性时,避免了构造子系统以及大系统的Lyapunov函数 的困难.Abstract: In this paper the stability foir a more general class of nonlinear large scale composite systems are considered. Based on Lemma 2 in this paper, two new stability criteria for this class of systems is given. Since the obtained stability criteria in this paper is only associated with the stability of the subsystems and the coupled terms among these subsystems, therefore, the difficulty to find Lyapunov functions of the nonlinear large scale composite system and its subsystems can be overcome for checking the stability of the large scale composite system by these two stability criteria.
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Key words:
- Nonlinear /
- large scale composite systems /
- stability
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