Improved results on reachable set estimation of singular systems

作者：

Highlights：

• This paper considers the problem of reachable set estimation for linear singular systems. The contribution of this paper lies in the following three aspects:

• A new inequality scaling method is used to deal with Lyapunov functional with e index and the conservatism of the result is reduced.

• Different from the Lyapunov functional construction in the comparison literatures, the candidate Lyapunov functional in this paper contains more time-delay information based on time-delay segmentation method.

• A practical example shows the effectiveness of the proposed method.

摘要

This paper considers the problem of reachable set estimation for linear singular systems. The contribution of this paper lies in the following three aspects:•A new inequality scaling method is used to deal with Lyapunov functional with e index and the conservatism of the result is reduced.•Different from the Lyapunov functional construction in the comparison literatures, the candidate Lyapunov functional in this paper contains more time-delay information based on time-delay segmentation method.•A practical example shows the effectiveness of the proposed method.

论文关键词：Singular system,Inequality scaling method,Reachable set,Time-delay

论文评审过程：Received 29 February 2020, Revised 19 May 2020, Accepted 31 May 2020, Available online 17 June 2020, Version of Record 17 June 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125419