Finite-time stability and stabilization results for switched impulsive dynamical systems on time scales

In this article, we study the finite-time stability (FTS) and finite time stabilization problems for a class of switched impulsive systems evolving on an arbitrary domain. This problem is formulated using scale theory where domain can be continuous, discrete, union disjoint intervals with variable gaps lengths or any combination these. Using common Lyapunov-quadratic Lyapunov-like functions, establish sufficient conditions to ensure FTS results. Further, solve problem, design state feedback controllers. We have illustrated effectiveness obtained analytical results though numerical examples.