Finite-Time Annular Domain Stability and Stabilization of Regime-Switching Jump Diffusion System

In this paper, the finite-time annular domain stability and stabilization of regime-switching jump diffusion system are discussed. With the help of explicit solution of multi-dimensional regime-switching jump diffusion system, we give the sufficient and necessary conditions for finite-time annular domain stability and stabilization of regime-switching jump diffusion system respectively. Finally, the importance of Markov chain and Poisson jump of our obtained finite-time annular domain stability condition are demonstrated by numerical examples.