A novel approach to state bounding for discrete-time Markovian jump systems with interval time-varying delay
Hien, Le Van, Dzung, Nguyen Trung and Minh, Ha Binh 2016, A novel approach to state bounding for discrete-time Markovian jump systems with interval time-varying delay, IMA journal of mathematical control and information, vol. 33, no. 2, pp. 293-307, doi: 10.1093/imamci/dnu043.
Attached Files
Name
Description
MIMEType
Size
Downloads
Title
A novel approach to state bounding for discrete-time Markovian jump systems with interval time-varying delay
This paper concerns with the problem of state bounding for a class of discrete-time Markovian jump systems with interval time-varying delay. By constructing a new Lyapunov–Krasovskii functional combining with the delay-decomposition technique and the reciprocally convex approach, new delay-range-dependent conditions are derived ensuring that all state trajectories of the system are mean square bounded. These conditions are derived in terms of matrix inequalities which can be computationallysolved to find a smallest possible bound of mean square. A numerical example is provided to verify the effectiveness of the obtained result.
Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.