Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 417, Issue -, Pages -Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2021.126771
Keywords
Markov jump stochastic systems; Discrete feedback control; Stabilization in general decay rate
Categories
Funding
- Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, Saudi Arabia [FP-108-42]
- National Natural Science Foundation of China [11571024, 61833005]
- China Postdoctoral Science Foundation [2017M621588]
- Natural Science Foundation of Hebei Province of China [A2019209005]
- Science and Technology Research Foundation of Higher Education Institutions of Hebei Province of China [QN2017116]
- Tangshan Science and Technology Bureau Program of Hebei Province of China [19130222g]
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This paper investigates the stabilization of an unstable non-autonomous MJ-SDS system using discrete feedback control, and designs discrete control rules that can stabilize the system not only in terms of exponential decay rate, but also in terms of polynomial and general decay rates.
For an unstable Markov jump stochastic differential system (MJ-SDS) with high nonlinearity, can one introduce a discrete feedback control to stabilize it? This question has been well answered for the case of the feedback control derived from discrete state observations, in the form of H-infinity stabilization and exponential stabilization. Whereas, the existing theory can not tackle the non-autonomous systems and do not consider the factor of discrete mode observations, which are the motivations of this paper. Fortunately, for an unstable non-autonomous MJ-SDS, the feedback control, originated from discrete observations of system state and system mode, is well designed to stabilize it not only in the sense of exponential decay rate but also of polynomial decay rate and even general decay rate. Thereinto, the designing rule of discrete feedback control is given as well. (C) 2021 Elsevier Inc. All rights reserved.
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