Exponential passivity analysis of stochastic neural networks with leakage, distributed delays and Markovian jumping parameters

Exponential Feedback Passivity of Switched Polynomial Nonlinear Systems

“…Comparing with the existing results of [25][26][27], the nonlinear functions of the systems do not need to satisfy the so-called Lipschitz condition. In addition, the performance of the SPNSs can be improved by adjusting the value of the parameter contained in the parameterized controller according to the obtained feasible interval solution of the parameters.…”

“…Choose the storage functions ( ( )) = (1/2) ≥ 0, ∈ as (26). By the switching law with average dwell time , the switching sequence ∑ is achieved.…”

“…In [25], a delaydependent exponential passivity condition for memristive neural networks was proposed in terms of linear matrix inequalities. By constructing a proper Lyapunov-Krasovskii functional, utilizing free-weighting matrix method and some stochastic analysis techniques, some delay-dependent sufficient conditions that ensure the exponential passivity of stochastic neural networks were deduced in [26]. In [27], by constructing an appropriate Lyapunov-Krasovskii functional 2 Mathematical Problems in Engineering and using the Wirtinger-based integral inequality to estimate its derivative, a delay-range-dependent and delay-ratedependent criterion was presented to ensure the augmented filtering dynamic system to be robustly exponentially passive with an expected dissipation.…”

“…In [27], by constructing an appropriate Lyapunov-Krasovskii functional 2 Mathematical Problems in Engineering and using the Wirtinger-based integral inequality to estimate its derivative, a delay-range-dependent and delay-ratedependent criterion was presented to ensure the augmented filtering dynamic system to be robustly exponentially passive with an expected dissipation. The exponential passivity of some systems can be ensured with the conditions of [25][26][27]. Still and all, whether these conditions are true depend on the structure of the systems themselves.…”

“…Still and all, whether these conditions are true depend on the structure of the systems themselves. In addition, the nonlinear functions of the systems of [25][26][27] should satisfy the so-called Lipschitz condition, which restrict the application scope of these results. In [23], some feedback controllers were designed to obtain exponential passivity for a class of affine systems possessing globally defined normal form and factorisable high-frequency gain.…”