Photo from wikipedia
To stabilize a nonlinear system d x ( t ) = f ( t , x ( t ) ) d t $dx(t)=f(t,x(t))\,dt$ , we stochastically perturb the deterministic model… Click to show full abstract
To stabilize a nonlinear system d x ( t ) = f ( t , x ( t ) ) d t $dx(t)=f(t,x(t))\,dt$ , we stochastically perturb the deterministic model by using two types of aperiodic intermittent stochastic noise driven by G-Brownian motion. We demonstrate quasi-sure exponential stability for the perturbed system and give the convergence rate, which is related to the control intensity. An application to SIS epidemic model is presented to confirm the theoretical results.
Keywords:
stochastic noise;
intermittent stochastic;
aperiodic intermittent;
noise driven;
brownian motion;
driven brownian
Journal Title: Advances in Difference Equations
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Advances in Difference Equations
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!