RT Journal Article
A1 Hui Shang
A1 Wenhai Qi
A1 Guangdeng Zong

PB iet
T1 Finite-time asynchronous control for positive discrete-time Markovian jump systems
JN IET Control Theory & Applications
VO 13
IS 7
SP 935
OP 942
AB Finite-time asynchronous control problem is discussed for positive Markovian jump systems in this study. The non-synchronous behaviours generated between the system modes and controller modes are fully considered. To ensure the closed-loop system positivity and finite-time boundedness with a guaranteed H ∞ performance level, a sufficient condition on the existence of an asynchronous controller is first established by applying Lyapunov–Krasovskii functional approach and recursive matrix inequality methods. Then, with the aid of matrix conversions, the specific form of controller gain matrices can be constructed by solving linear matrix inequality (LMI) conditions. A numerical example is presented and application is illustrated to validate the proposed results by employing a pest's age-structured population dynamic model.
K1 linear matrix inequity conditions
K1 positive Markovian jump systems
K1 asynchronous controller
K1 positive discrete-time Markovian jump systems
K1 recursive matrix inequality methods
K1 Lyapunov–Krasovskii functional approach
K1 finite-time boundedness
K1 controller gain matrices
K1 closed-loop system positivity
K1 finite-time asynchronous control problem
DO https://doi.org/10.1049/iet-cta.2018.5268
UL https://digital-library.theiet.org/;jsessionid=3inrfximhc483.x-iet-live-01content/journals/10.1049/iet-cta.2018.5268
LA English
SN 1751-8644
YR 2019
OL EN