Lagrange stability of nonlinear sampled-data control systems
非线性采样控制系统的Lagrange稳定性

For nonlinear sampled-data systems consisting of a nonlinear plant with slowly varying exogenous input signal and a linear digital controller,the well established methodology for nonlinear systems with jumps and corresponding linearization approach are used to obtain Lagrange stability(ultimate boundedness) conditions for such systems under ideal discretization and infinite word-length digital controller(i.e.without quantization effect).When the nonlinear quantization effects of the digital controller and the interface elements are considered,the stability result still holds given that the nonlinearity and its partial derivatives are bounded.