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A pendulum on a moving foundation is modeled as a Takagi–Sugeno impulsive fuzzy system. This makes it possible to analyze the motion of a wheel over a rough surface. The sufficient conditions for the asymptotic stability of the upper position of the pendulum are established [ABSTRACT FROM AUTHOR]

Takagi-Sugeno fuzzy impulsive systems are analyzed for Lyapunov stability. Lyapunov's second method is used to establish sufficient stability conditions for such systems. It is shown that these conditions are expressed by a system of matrix inequalities. Impulsive fuzzy control of two coupled pendulums is considered as an example. [ABSTRACT FROM AUTHOR]

We analyze the Lyapunov stability of impulsive Takagi-Sugeno fuzzy systems. Using the direct Lyapunov method, we establish sufficient conditions for the stability of these systems. We show that these conditions can be expressed in terms of a system of linear matrix inequalities. As an example, we consider an impulsive fuzzy control in a two-species "predator-prey" model. [ABSTRACT FROM AUTHOR]