Delay and Its Time-Derivative Dependent Stable Criterion for Differential-Algebraic Systems

HTML  XML Download Download as PDF (Size: 452KB)  PP. 1124-1133  
DOI: 10.4236/am.2016.710100    1,466 Downloads   2,081 Views  
Author(s)

ABSTRACT

In this paper, the stable problem for differential-algebraic systems is investigated by a convex op-timization approach. Based on the Lyapunov functional method and the delay partitioning approach, some delay and its time-derivative dependent stable criteria are obtained and formulated in the form of simple linear matrix inequalities (LMIs). The obtained criteria are dependent on the sizes of delay and its time-derivative and are less conservative than those produced by previous approaches.

Share and Cite:

Liu, H. and Ding, Y. (2016) Delay and Its Time-Derivative Dependent Stable Criterion for Differential-Algebraic Systems. Applied Mathematics, 7, 1124-1133. doi: 10.4236/am.2016.710100.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.