On necessity proof of strict bounded real lemma for generalized linear systems with finite discrete

• 作 者: Xiaojun YANG Zhengxin WENG Zuohua TIAN
• 机 构: Department of Automation,Shanghai Jiao Tong University,Shanghai 200030,China
• 出 处: 控制理论与应用（英文版）
• 发表日期: 2004年4期
• 关键词: Bounded real lemma Linear systems with finite discrete jumps Riccati equations

Some preliminary results on strict bounded real lemma for time-varying continuous linear systems are proposed,where uncertainty in initial conditions,terminal cost and extreme of the cost function are dealt with explicitly.Based on these results,a new recursive approach is proposed in the necessity proof of strict bounded real lemma for generalized linear system with finite discrete jumps.