Abstarct: In this endeavor first, we outline the definitions and basic concepts of fuzzy theory of stability, ‎then‎ for the composition of the ‎rules‎ if then, the fuzzy two of the known derivative engines, namely Mamedani and Takagi-Sugeno, or briefly we will use ‎Soge‎no for the deduction process to accept fuzzy inputs baxsed on the fuzzy rule baxse to create the appropriate fuzzy output, and then describe the two above-mentioned fuzzy models. Next, fuzzy hyperbolic models are used to design the controller of the continuous systems Time and discrete time. These models are baxsed on rules if they are then made fuzzy. Also, two methods for controlling the design process and determining the matrix ‎H‎, such that the total asymmetrical stability and resilience provide a closed loop system. In the next chapter, we derive ‎hyperbolic‎ systems without using fuzzy concepts, so we define the space of hyperbolic functions and prove that they are contiguous in the space of continuous functions, and then from this space to convert the control systems into hyperbolic forms We use. We also find stabilization control for the hyperbolic system and show that these models are able to approximate the main dynamic system within the range of the equilibrium point with high precision and model parameters by solving a nonlinear programming problem.We get numerical examples to simulate their results and analyze ‎them.‎‎ ‎