Stability of CDFEs With Multiple Known and Unknown Delays: Discretized LKF Approach

DOI

10.2991/icacie-16.2016.32How to use a DOI?

Keywords

discretized LKF approach; coupled differential-functional equations; multiple unknown discrete delays; multiple known distributed delays

Abstract

This article considers the stability problem of a class of coupled differential-Functional equations (CDFEs) with multiple delays via the discretized Lyapunov-Krasovskii functional (LKF) approach. The system discussed contains both distributed delays known and discrete delays unknown, a LKF with two parts is chosen, where one part is a complete quadratic LKF which involves those known delays only and can be done discretization, the other is a simple LKF for the unknown delays. Through in dependently divided every known delay region that the plane regions consists in two known delays to discretized the LKF, the stability conditions of the systems are established based on a linear matrix inequality (LMI), which is dependent with the known delays, is independent with the unknown. Finally, two examples are given to illustrate that the result is reliable and effective.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Hongfei Li
PY  - 2016/10
DA  - 2016/10
TI  - Stability of CDFEs With Multiple Known and Unknown Delays: Discretized LKF Approach
BT  - Proceedings of the 2016 International Conference on Automatic Control and Information Engineering
PB  - Atlantis Press
SP  - 139
EP  - 144
SN  - 2352-5401
UR  - https://doi.org/10.2991/icacie-16.2016.32
DO  - 10.2991/icacie-16.2016.32
ID  - Li2016/10
ER  -