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