An Investigation of Stability Criteria for Sampled-data Control System Using New Integral Inequality for Application to Electric Power Market

This article focuses on the stability problem of sampled-data systems, which is addressed using a new integral inequality. A method for systematic analysis is presented, then applied to the electric power market. The sampling point from t k to t k +1 assume to be a sampling interval but bounded. In addition, we develop a novel closed-loop Lyapunov functional that considers intervals from the sampling point t to t k and from t to t k +1 . This new functional is utilized to derive a stability criterion that is less conservative than previous works based on novel integral inequalities for sampled-data systems. Numerical examples are proposed to demonstrate the efficacy and decreased conservatism of the suggested approach. Additionally, the method addresses the stability issue in electric power markets and explores the importance of reducing conservatism.