Global exponential p-stability of stochastic non-autonomous Takagi–Sugeno fuzzy cellular neural networks with time-varying delays and impulses

In this paper, we investigate the global exponential p  -stability of stochastic non-autonomous Takagi–Sugeno fuzzy cellular neural networks with time-varying delays and impulses. By using the property of MM-matrix, we establish a new differential inequality and a new LL-operator inequality to be effective for non-autonomous Takagi–Sugeno fuzzy systems. Based on the inequalities obtained above, sufficient conditions ensuring the global exponential p-stability of the considered system are obtained. In addition, we derive sufficient conditions ensuring the global exponential stability of the corresponding autonomous systems. Our results improve some early results in the literature. One example is given to illustrate the effectiveness of our proposal.