TY - GEN
T1 - Stability analysis of non-autonomous switched systems based on time-varying scalar functions
AU - Qiu, Mengmeng
AU - Lu, Junjie
AU - Feng, Weijie
AU - She, Zhikun
N1 - Publisher Copyright:
© 2017 Technical Committee on Control Theory, CAA.
PY - 2017/9/7
Y1 - 2017/9/7
N2 - In this paper, we investigate asymptotic stability, exponential stability and uniformly exponential stability of non-autonomous switched systems, respectively. Starting with non-autonomous switched linear systems, we firstly provide necessary and sufficient conditions for its asymptotic stability and exponential stability based on the existence of an asymptotically stable function and an exponentially stable function. Successively, a sufficient condition for uniformly exponential stability of a non-autonomous switched linear system is proposed by the existence of an uniformly exponentially stable function. Based on this sufficient condition, we further derive a sufficient condition for local uniformly exponential stability of non-autonomous switched nonlinear systems. In the end, an illustrative example is given to show the applicability of our theoretical results.
AB - In this paper, we investigate asymptotic stability, exponential stability and uniformly exponential stability of non-autonomous switched systems, respectively. Starting with non-autonomous switched linear systems, we firstly provide necessary and sufficient conditions for its asymptotic stability and exponential stability based on the existence of an asymptotically stable function and an exponentially stable function. Successively, a sufficient condition for uniformly exponential stability of a non-autonomous switched linear system is proposed by the existence of an uniformly exponentially stable function. Based on this sufficient condition, we further derive a sufficient condition for local uniformly exponential stability of non-autonomous switched nonlinear systems. In the end, an illustrative example is given to show the applicability of our theoretical results.
KW - Asymptotic stability
KW - Exponential stability
KW - Switched systems
KW - Time-varying scalar functions
KW - Uniformly exponential stability
UR - https://www.scopus.com/pages/publications/85032211383
U2 - 10.23919/ChiCC.2017.8027718
DO - 10.23919/ChiCC.2017.8027718
M3 - 会议稿件
AN - SCOPUS:85032211383
T3 - Chinese Control Conference, CCC
SP - 2403
EP - 2408
BT - Proceedings of the 36th Chinese Control Conference, CCC 2017
A2 - Liu, Tao
A2 - Zhao, Qianchuan
PB - IEEE Computer Society
T2 - 36th Chinese Control Conference, CCC 2017
Y2 - 26 July 2017 through 28 July 2017
ER -