Abstract：In this paper， the stability of hyperbolic partial differential equations with non-homogeneous disturbance term is studied under PI control， and the dissipative conditions for feedback parameters are established. Firstly， the characteristic method is used to obtain the formal solution of the system， which is substituted into the boundary conditions， and then， we can have the characteristic equation of the system a transcendental equation with a single exponential term. Secondly， the stability condition of the system is obtained by using Walton-Marshall stability criterion. Finally， the simulations by Matlab software further present the effectiveness of the conclusions.
赵东霞,鲍芳霞. 具有扰动项的双曲守恒律系统的PI反馈与稳定性分析[J]. 华中师范大学学报(自然科学版), 2023, 57(6): 786-792.
ZHAO Dongxia,BAO Fangxia. PI feedback and stability analysis of hyperbolic conservationlaw systems with perturbation term. journal1, 2023, 57(6): 786-792.
2023, Vol. 57 
