Local exponential stabilization for a class of uncertain nonlinear impulsive periodic switched systems with norm-bounded input

摘要: This paper investigates stabilization for a class of uncertain nonlinear impulsive periodic switched systems under norm-bounded control input. The proposed approach studies criteria locally where the dynamics satisfy Lipschitz condition only on subspace containing origin, not $$\mathbb {R}^{n}$$ . makes applicable in most practical cases region validity is limited due to physical issues. In presence different resources non-vanishing uncertainties, main objective find stabilizing signal such that trajectories exponentially converge sufficient small ultimate bound, but also have largest attraction. To this, more general model, we first propose several conditions using common Lyapunov function approach. strategy allows increase some intervals, which suitable when subsystems are unstable and uncontrollable. We then apply these targeted system, extracted forms linear bilinear matrix inequalities. achieve goal, an optimization problem formulated solvable augmented Lagrangian methods. Finally, illustrative examples presented demonstrate