Journal
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
Volume 30, Issue 17, Pages 7822-7834Publisher
WILEY
DOI: 10.1002/rnc.5216
Keywords
discrete-time nonlinear systems; impulsive switched systems; positive-order Lyapunov functions; practical fixed-time stability; range dwell time
Funding
- Major Project Foundation of Guangdong Province Education Department [2014KZDXM070]
- National Natural Science Foundations of China [11401248, 11501238, 60974139]
- Natural Science Foundation of Guangdong Province [2014A030313641]
- Science and technology project of Huizhou [2012P10]
- Young Innovative Talent Project of Universities in Guangdong [2014KQNCX215]
Ask authors/readers for more resources
In this note, the practical fixed-time stability (PFTS) for discrete-time impulsive switched nonlinear (DISN) systems is investigated. Firstly, the concept of PFTS is introduced for discrete-time nonlinear (DN) systems, and two sufficient conditions are proposed to verify the PFTS of DN systems by using the positive-order Lyapunov function. Then, the obtained results are extended to study the PFTS of DISN systems, two stability conditions are given by combining range dwell time and multiple positive-order Lyapunov functions. Finally, some further discussions on the relaxation of stability conditions are also provided. Two numerical examples are given to illustrate the theoretical results.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
