A hybrid control framework for systems with quantization

This paper is concerned with global asymptotic stabilization of continuous-time systems subject to quantization. A hybrid control strategy originating in earlier work (D. Liberzon, 2000) relies on the possibility of making discrete online adjustments of quantizer parameters. We explore this method for general nonlinear systems with general types of quantizers affecting the state of the system or the control input. The analysis involves merging tools from Lyapunov stability, hybrid systems and input-to-state stability.