An Infinite [Epsilon]-Bound Stabilization Design for a Class of Singularly Perturbed Systems

According to the Lyapunov stability theorem and the bounds of solutions of the Lyapunov equation, the state feedback gain matrices can be determined to guarantee the stability of the singularly perturbed systems for all [Epsilon] [element of] (0, [infinity]). A numeral example and an operational amplifier circuit are given to illustrate the effectiveness of the proposed scheme. Index Terms--Lyapunov equation, Lyapunov function, singular perturbation parameter, singularly perturbed systems.