Stabilization of nonlinear stochastic systems without unforced dynamics via time--varying feedback

Continuous feedback stabilization for a class of affine stochastic nonlinear systems

“…2) If Florchinger [6] used a universal formula for the system (1) when f 2 ≡ g 1 ≡ 0 under a known SCLF, the problem of stabilization of system (1) has not yet a universal construction. Note that if V is a SCLF for the system (1), the sufficient condition: [3,4,8], is more restrictive than the assumption (14) stated in this paper.…”

“…Since the works, such as Khasminskii [13], Kushner [15] and Mao [22] established a solid foundation for the stochastic stability theory, the design of stabilization controller has been investigated widely for various stochastic nonlinear systems. Several results on state-feedback stabilization and output-feedback stabilization for various classes of stochastic nonlinear systems have been achieved in [1,5,8,16,17,32] and the references therein.…”