Abstract
This paper studies the problem of stability analysis for descriptor systems with time-varying delay. By developing a delayed decomposition approach, information of the delayed plant states can be taken into full consideration, and new delay-dependent sufficient stability criteria are obtained in terms of linear matrix inequalities (LMIs). Then, based on the Lyapunov method, delay- dependent stability criteria are devised by taking the relationship between terms in the Leibniz-Newton formula into account. Criteria are derived in terms of LMIs, which can be easily solved by using various convex optimization algorithms. It is proved that the newly proposed criteria may introduce less conservatism than some existing ones. Meanwhile, the computational complexity of the presented stability criteria is reduced greatly since fewer decision variables are involved. Numerical examples are included to show that the proposed method is effective and can provide less conservative results.
Highlights
Time-delays are often encountered in various dynamic systems, such as manufacturing systems, economic systems, biological systems, networked control systems, and so on
Later, [14,15,16,17,18] provided integral inequality matrix and delayed decomposition approach, information of the delayed plant states can be taken into full consideration, and new delay-dependent sufficient stability criteria are obtained in terms of linear matrix inequalities (LMIs)
An improved delaydependent stability criterion is established in terms of linear matrix inequalities (LMIs), which guarantee the descriptor time-delay system to be regular, impulse free and asymptotically stable
Summary
Time-delays are often encountered in various dynamic systems, such as manufacturing systems, economic systems, biological systems, networked control systems, and so on. Some improved delay dependent stability criteria have been obtained without using model transformation and bounding techniques for cross terms [8, 11, 14,15,16,17,18, 27, 29, 31]. Based on the result of [14,15,16,17,18] made some improvements and provided a new integral inequality method to the stability and stabilization analysis of the linear delay-dependent systems, which is proved to be less conservative than the previous. An improved delaydependent stability criterion is established in terms of linear matrix inequalities (LMIs), which guarantee the descriptor time-delay system to be regular, impulse free and asymptotically stable.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
