Non‐fragile robust exponential stabilisation and control for uncertain stochastic systems with non‐linearity and mixed delays

Global stabilisation for a class of stochastic continuous non‐linear systems with time‐varying delay

“…Remark 3. The condition 0 < τ(t ) ≤ 𝜚 < 1 is necessary, which ensures that the positive time-delay terms in ( 26) can be canceled out by selecting the appropriate L-K functional in (25), so that ( 28) can be obtained. Furthermore, the condition is general, which also can be found in a lot of literature with stochastic time-delays, such as [16,19,33,34].…”

“…As another major obstacle often encountered in non-linear control, stochastic factors exist widely in practical systems in the form of internal errors, external noises, unknown parameter disturbances and so on, which inevitably limit the performance of the system and lead to undesirable inaccuracy or instability [10,11]. Therefore, numerous efforts have strived for the control design of stochastic time-delay non-linear system with various structures or growth conditions [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. The problem of state-feedback stabilisation for a class of stochastic time-delay non-linear sys-This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.…”