Stability and stabilization of discrete-time systems with time-delay via Lyapunov-Krasovskii functional

摘要

The stability and stabilization problems for discrete systems with time-delay are discussed .The stability and stabilization criterion are expressed in the form of linear matrix inequalities (LMI). An effective method allowing us transforming a bilinear matrix Inequality (BMI) to a linear matrix Inequality (LMI) is developed. Based on these conditions, a state feedback controller with gain is designed. An illustrative numerical example is provided to show the effectiveness of the proposed method and the reliability of the results.