Projects per year
The purpose of this paper is to give the delay control based on discrete-time state observations to stabilize highly nonlinear hybrid stochastic functional differential equations (SFDEs). It is considered that time lag generated by the controller in each discrete observation should be different. The new controlled hybrid SFDEs are affected the variable delay caused by the controller, the distributed delay and the superlinear coefficients of the systems itself, which makes the problem handling more complicated. Then, a series of criteria for the exponential stability of the controlled SFDEs are obtained, and an upper bound for the discrete observation interval and variable delay is given. Finally, numerical example illustrate the proposed theoretical results.
|Number of pages||20|
|Journal||Mathematical Methods in the Applied Sciences|
|Publication status||Accepted/In press - 7 Jul 2021|
- discrete observation
- functional equation
- highly nonlinear
- delay control
- exponential stabilization
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1/10/16 → 30/09/21
Ergodicity and invariant measures of stochastic delay systems driven by various noises and their applications (Prof. Fuke Wu)
16/03/17 → 15/06/20
Project: Research Fellowship