This paper develops a new method of integral sliding mode control redesign for a class of perturbed nonlinear dissipative switched systems by modifying the dissipativity-based control law that was designed for the unperturbed systems. The nominal model is considered affine with matched and unmatched perturbations. The redesigned control law includes an integral sliding-based control signal such...

We study scalar perturbations induced by through the non-linear interaction appearing at second order in perturbations. derive analytic solutions of a perfect fluid. In particular, we consider radiation-dominated era and matter-dominated era. With solutions, also discuss power spectra