8 citations · 9 across the 7 of their papers we have counts for
8 papers
Fluctuation analysis for a randomly perturbed dynamical system with state-dependent impulse effects
Ashif Khan, Chetan D. Pahlajani
The principal aim of the present work is to explore limit theorems for small random perturbations of a planar impulsive dynamical system, where impulses occur at hitting times of a…
Random perturbations of systems with periodic impulse effects
Ashif Khan, Chetan D. Pahlajani
The principal aim of the present work is to explore limit theorems for small random perturbations of periodically kicked dynamical systems, in the limit of vanishing noise intensit…
Periodic Homogenization for Switching Diffusions
Chetan D. Pahlajani
In the present work, we explore homogenization techniques for a class of switching diffusion processes whose drift and diffusion coefficients, and jump intensities are smooth, spat…
Fluctuation analysis for a class of nonlinear systems with fast periodic sampling and small state-dependent white noise
Shivam Dhama, Chetan D. Pahlajani
We consider a nonlinear differential equation under the combined influence of small state-dependent Brownian perturbations of size , and fast periodic sampling with pe…
Approximation of linear controlled dynamical systems with small random noise and fast periodic sampling
Shivam Dhama, Chetan D. Pahlajani
In this paper, we study the dynamics of a linear control system with given state feedback control law in the presence of fast periodic sampling at temporal frequency ($0 < δ\…
Randomly perturbed switching dynamics of a DC/DC converter
Chetan D. Pahlajani
In this paper, we study the effect of small Brownian noise on a switching dynamical system which models a first-order DC/DC buck converter. The state vector of this system comprise…