4. Stability of Nonlinear Switched and Impulsive Systems

Abstract

In this chapter, we shall study the stability of nonlinear switched and impulsive systems of the form

$\displaystyle \left\{\begin{array}{lll} \dot X(t)=f(X(t), m (t)); t\not = t_j\\ X(t^{+}) = h (X(t_j^{-}), m(t_j^{-}), m(t_j^{+}))\\ m(t_j^{+})\in \psi(m(t_j^{-})) \end{array} \right.. \quad\quad (4.1)$