Stability analysis of state-delay systems based on the characterization of state-transition operator
作者单位：Faculty of System DesignTokyo Metropolitan University
会议名称：《Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference》
会议日期：2009年
学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学]
摘 要：Stability conditions for state-delay systems are derived based on the norm of semigroup, which describes the transition of the internal state. Introducing an exact calculation method of the semigroup norm, the conditions for the internal stability and the marginal stability are characterized by nonsingularity of a transcendental function. The conditions depend on the existence of time interval such that the semigroup turns to a contraction map and enable us to approach the necessary and sufficient condition by extending the interval. The feature of proposed method is discussed with numerical examples.