Input-to-State Stability and Stabilization of Nonlinear Impulsive Positive Systems

This paper focuses on the problems of input-to-state stability (ISS) and stabilization for nonlinear impulsive positive systems (NIPS). Using max-separable ISS Lyapunov function method, a sufficient condition is given general NIPS. On that basis, criteria linear (LIPS) affine (ANIPS) are given. Through them, properties can be directly judged from algebraic differential characteristics systems. Then, utilizing criteria, state-feedback controllers designed LIPS ANIPS, respectively, which make stabilizable. Lastly, some numerical examples to verify effectiveness our results.