Stability of discrete‐time systems with time‐varying delay via a novel Lyapunov‐Krasovskii functional
Jun Chen, Ju H. Park, Shengyuan Xu, Xian‐Ming Zhang
Abstract
Summary This article is concerned with the problem of stability analysis of discrete‐time systems with time‐varying delay. Unlike previous articles concentrating on the improvement of summation inequalities, this article constructs a novel augmented Lyapunov‐Krasovskii (L‐K) functional by fully considering the coupling information among state‐related vectors. Based on the newly developed L‐K functional, a more relaxed stability criterion is derived by exploring the interest of existing inequalities. Three numerical examples are given to demonstrate the effectiveness of the proposed method.
Topics & Concepts
Stability (learning theory)Control theory (sociology)Functional approachMathematicsState (computer science)Stability criterionComputer scienceStability conditionsDiscrete time and continuous timeControl (management)AlgorithmArtificial intelligenceMachine learningStatisticsHuman–computer interactionStability and Control of Uncertain SystemsNeural Networks Stability and SynchronizationStability and Controllability of Differential Equations