Exponential Stability Criterion for State-space Interfered Discrete System through External Disturbance

This article deals with stability investigation of state-space fixed-point discrete system using saturation nonlinearity and external interference. A criterion for exponential stability is proposed via a passivity-based approach for an externally interfered nonlinear discrete system. For the discrete system with saturation overflow nonlinearity, we have analyzed the passive behaviour under the effects of external interference and asymptotic stability with zero interference. A comparative study is made available with the previously reported result to highlight the worth and relaxed nature of the proposed work. The criterion developed is in linear matrix inequality (LMI) settings and therefore, numerically less complex. Numerical simulations are made available to showcase the productiveness of the obtained criterion.