adaptive control scheme based on a new time-varying gain is proposed for the stability problem of a class of multi-agent systems with unknown states and hysteresis input.The scheme includes the construction of a novel high-gain observer,the integration of all unknown terms and the unified processing of them in the differential control section,and the adjustment of compensation parameters in the time-varying gain signal to achieve input waveform denoising and upper-lower limitation constraint.By applying this control scheme,consistent stability of the system can be achieved,and the computational burden in the differential control section can be effectively reduced.Moreover,adjusting the compensation parameters within the allowable range of the system frequency response can achieve input denoising and upper-lower limitation constraint.Simulation results show that the proposed method successfully achieves the optimization of the input waveform upper-lower limitation constraint and denoising while reducing the computational burden in the differential control section,thus improving the systems robustness and adaptability.