Global output feedback stabilisation of stochastic high-order feedforward nonlinear systems with time-delay

Abstract

This paper considers the problem of output feedback stabilisation for stochastic high-order feedforward nonlinear systems with time-varying delay. By using the homogeneous domination theory and solving several troublesome obstacles in the design and analysis, an output feedback controller is constructed to drive the closed-loop system globally asymptotically stable in probability.

Keywords:

• stochastic high-order feedforward nonlinear systems
• time-varying delay
• output feedback stabilisation

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by Program for the Scientific Research Innovation Team in Colleges and Universities of Shandong Province, and National Natural Science Foundation of China [grant number 61273125], [grant number 61473171].