Novel Summation Inequalities and Their Applications to Stability Analysis for Systems With Time-Varying Delay | IEEE Journals & Magazine | IEEE Xplore
Scheduled Maintenance: On Tuesday, 25 February, IEEE Xplore will undergo scheduled maintenance from 1:00-5:00 PM ET (1800-2200 UTC). During this time, there may be intermittent impact on performance. We apologize for any inconvenience.

Novel Summation Inequalities and Their Applications to Stability Analysis for Systems With Time-Varying Delay


Abstract:

The inequality technique plays an important role in stability analysis for time-delay systems. This technical note presents a new sequence of novel summation inequalities...Show More

Abstract:

The inequality technique plays an important role in stability analysis for time-delay systems. This technical note presents a new sequence of novel summation inequalities by introducing some free matrices, which includes the newly-developed Wirtinger-based and free-matrix-based summation inequalities as special cases. Moreover, the idea can be easily extended to the multiple-summation-inequality case. Based on the proposed inequalities, relaxed stability conditions are obtained for systems with time-varying delay. Numerical examples are given to demonstrate the effectiveness of the proposed approach.
Published in: IEEE Transactions on Automatic Control ( Volume: 62, Issue: 5, May 2017)
Page(s): 2470 - 2475
Date of Publication: 08 September 2016

ISSN Information:

Funding Agency:


References

References is not available for this document.