Output feedback stabilisation of stochastic nonlinear time-delay systems with unknown output function

ABSTRACT

This paper studies the problem of output feedback stabilisation for a class of stochastic nonlinear time-delay systems with the unknown output function. For stochastic nonlinear time-delay systems, the maximal open sector Δ of output function is given. As long as output function belongs to any closed sector included in Δ, by constructing a reduced-order observer and ${\mathcal{C}}^2$ Lyapunov– Krasovskii functional and using the homogeneous domination method, an output feedback controller can be developed to guarantee the closed-loop system globally asymptotically stable in probability.

KEYWORDS:

• Stochastic nonlinear time-delay systems
• output feedback stabilisation
• output function

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

National Natural Science Foundation of China [grant number 61673242]. Shandong Provincial Natural Science Foundation of China [grant number 2016ZRB01076]