Time Delay Analysis of Nonlinear Generalized Lü-like Systems

The nonlinear Lü-like system is reduced the uncertain conditions in the practical application process. In this paper, we take a new generalized Lü-like system, analyze the stability of the equilibrium point by the Routh-Hurwitz criterion, adopt Hopf bifurcation theory and combine with the time lag factors in the system to analyzes the time-delay Lü-like system. Through the judgment of the stability index, the time-delay parameters of the bifurcation are determined, and the type of Hopf bifurcation in the system is received. The feedback method controls the bifurcation parameters of the system. Combined with the linear state feedback method theory, the range of control coefficients in the system is proved when the bifurcation parameters of the system reach the control target. The results demonstrate that the overall stability of the generalized L ü-like system is improved when the time-delay parameters are introduced. The system has a relatively stable limit cycle, and the amplitude of the overall limit cycle is more stable.