An algorithmic recipe to construct Lyapunov functions for nonlinear sectors with quantization mismatch

Abstract This study explores an encoder/decoder mismatched parameter for input quantization with an algorithmic recipe to construct LF for CT nonlinear systems. The sign‐definiteness of LF determines the decomposition of the state space into attractive and nonattractive segments; a CT sector is constructed, and CLF determines its boundary. Here, quantization parameters exhibit a time‐varying ratio due to nonsynchronous adjustment, which causes quantization discrepancy issues that are attenuated by a hands‐off controller based on On‐Off logic to acquire asymptotic stability. Theoretical research and simulation investigations confirm the efficacy of the technology for input quantization.