Improved negativity condition for a quadratic function and its application to systems with time‐varying delay
Hong‐Bing Zeng, Huichao Lin, Yong He, Chuan‐Ke Zhang, Kok Lay Teo
Abstract
This article studies the stability problems of linear systems with time‐varying delay. An improved negativity condition for a quadratic function parameterised by time‐varying delay is derived. Based on this condition, less conservative stability criteria are obtained. Through two well‐known numerical examples, it is proved that the proposed method can reduce the conservativeness of the computed results.
Topics & Concepts
Control theory (sociology)Negativity effectQuadratic equationStability (learning theory)MathematicsFunction (biology)Computer scienceControl (management)Artificial intelligenceSocial psychologyPsychologyGeometryMachine learningEvolutionary biologyBiologyStability and Control of Uncertain SystemsMatrix Theory and AlgorithmsNeural Networks Stability and Synchronization