Stability test of linear time-delay systems

Version 1.0.0.0 (1.97 KB) by Yang Xiao
This program is easy to test the stability of a linear time-delay system.
486 Downloads
Updated 29 Jun 2012

View License

In our book [1], we provide a simple approach to test the stability of linear time-delay system. We have following test theorem.
Theorem 1 [1]: Give a linear time-delay system,
dx(t)/dt=Ax(t)+Bx(t-h)
the system is stable, if
(1) A is Hurwitz stable,
(2) A+B*exp(-jwh) is Hurwitz stable.
where h is a time-delay, it is a fixed constant, h>=0, and w is angle frequency.
This program realized Theorem 1, it is easy to test the stability of a linear time-delay system,if we know the matrices A and B, and time-delay h.
[1] Yang Xiao, Yingkang Zhang, Multidimensional Signal Processing and
Multidimensional Systems, Publishing House of Electronics Industry,Beijing, 2011.

Cite As

Yang Xiao (2024). Stability test of linear time-delay systems (https://www.mathworks.com/matlabcentral/fileexchange/37347-stability-test-of-linear-time-delay-systems), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R14
Compatible with any release
Platform Compatibility
Windows macOS Linux
Categories
Find more on Stability Analysis in Help Center and MATLAB Answers

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Version Published Release Notes
1.0.0.0