A note on overshoot estimation in pole placements
Daizhan CHENG
Lei Guo
Yuandan LIN
Yuan WANG
摘要：In this note we show that for a given controllable pair ( A, B ) and any λ＞ 0, a gain matrix K can be chosen so that the transition matrix e(A+BK)t of the system x = (A + BK)x decays at the exponential rate e-λt and the overshoot of the transition matrix can be bounded by MλL for some constants M and L that are independent ofλ. As a consequence, for any h ＞0, a gain matrix K can be chosen so that the magnitude of the transition matrix e(A+BK)t can be reduced by -1/2- (orby anygivenportion) over [0, h ] . An interesting applicafon of the result is in the stabilization of switched linear systems with any given switching rate ( see [ 1 ] ).
机标关键词：
分类号：O1(数学)
资助基金：国家自然科学基金(DMS-0072620)
论文发表日期：2004-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：4( 161-164 )
英文信息