The author generalizes previous work of himself and R. Brackett (2000). He considers more general types of quantizers with quantization regions having arbitrary shapes as in [J. Lunze
, B. Nixdorf
, and J. Schröder
, ibid. 35, 395-406 (1999; Zbl 0942.93026
)]. In addition, he addresses the quantized feedback stabilization problem for nonlinear systems. Analogous results for systems with input quantization, both linear and nonlinear are developed in this paper. He uses Lyapunov stability, hybrid systems, and input to state stability notions for the analysis.