This branch is devoted to stability case of systems accompanying state-dependent delays under stochastic perturbations. Sufficient environments of asymptotic mean square stability for the nothing solution of a linear theory of probability differential equation accompanying distributed delays are acquired via the general form of Lyapunov functionals construction and the plan of linear matrix prejudices (LMIs). Besides delay-independent and delay-dependent environments of stability in odds are obtained for two equilibria of a nonlinear stochastic characteristic equation unhurriedly and exponential nonlinearity. The negative definiteness of casts in the obtained LMIs is checked utilizing the special MATLAB program. It is eminent that the proposed research method maybe used for the study of additional types of linear and nonlinear systems accompanying state-dependent delays. Numerical simulation of resolutions of the considered theory of probability differential equations accompanying state-dependent delays represent the presented here hypothetical results and open to readers consideration a new unsolved question of the obtained stability environments improving.
Author(s) Details:
Leonid Shaikhet,
Department of Mathematics, Ariel University,
Ariel 40700, Israel.
Please see the link here: https://stm.bookpi.org/RHMCS-V7/article/view/9998
No comments:
Post a Comment