The stabilization and H_∞ control problems of nonlinear switched Hamiltonian systems( NSHSs) subject to actuator saturation under arbitrary switching paths was investigated. The stabilization of NSHSs with actuator saturation was studied by designing suitable state feedback and deriving a sufficient condition. Then,an H_∞ controller was designed to realize the H_∞ control of NSHSs subject to actuator saturation with external disturbances,under the designed controller,γ-dissipation inequality held for the sy...