This paper presents a new approach to the problems of analysis and synthesis for quantized feedback control systems. Both single- and multiple-input cases are considered, with complete results provided for stability and Re, performance analysis as well as controller synthesis for discrete-time state-feedback control systems with logarithmic quantizers. The most significant feature is the utilization of a quantization dependent Lyapunov function, leading to less conservative results, which is shown both theoretically and through numerical examples. (C) 2007 Elsevier Ltd. All rights reserved.