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引用次数: 1
摘要
本文用时变状态空间方法对RLC电路系统进行了稳定性和有界性分析。在RLC电路中，稳定性问题的分析是非常重要的。当受到某些类型的输入时，表征RLC电路系统的响应可能接近无穷大。不稳定的电路会对电气系统造成损坏。利用李亚普诺夫理论对该类系统的稳定性问题进行了分析。本文以简单的形式给出了用李亚普诺夫第二或直接方法表征RLC电路系统的状态变量xi(t) (i = 1,2)的稳定性和有界性的条件。AMS学科分类:34D40、34D20、34D20、34C25
STABILITY AND BOUNDEDNESS ANALYSIS OF A SYSTEM OF RLC CIRCUIT WITH RESPONSE
This paper presents a stability and boundedness analysis of a system of RLC circuit modeled using a time varying state-space method. Stability problem analysis is very important in RLC circuits. There is some potential for a response characterizing the system of RLC circuit to approach infinity when subjected to certain types of inputs. Unstable circuit causes damage to electrical systems. Analysis of problems of such system stability is carried out using the Lyapunov’s theory. In this paper, we provide in simple form, conditions which ensure the stability and boundedness of the state variables xi(t) (i = 1, 2) characterizing the system of RLC circuit using Lyapunov’s second or direct method. AMS Subject Classification: 34D40, 34D20, 34D20, 34C25
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