Controller design for finite-time attractive and energy consumption of stochastic nonlinear systems

Controller design for finite-time attractive and energy consumption of stochastic nonlinear systems is investigated in this paper. By constructing appropriate controller and using inequality techniques, sufficient conditions for finite-time attractiveness of stochastic nonlinear systems are addressed. To estimate the control energy consumption, this paper first gives the definition of expected energy consumption for stochastic system. Furthermore, the upper bounds of control time and energy consumption are given. Afterwards, the trade-off analysis between control time and energy consumption is carried out to find a optimal control intensity choice. Finally, two numerical examples are presented to verify the validity of our theoretical results.