Robust Stabilization and H ∞ Control for Uncertain Neural Networks with Mixed Time Delays

Abstract EN

This paper is concerned with the problem of robust stabilization and H ∞ control for a class of uncertain neural networks.

For the robust stabilization problem, sufficient conditions are derived based on the quadratic convex combination property together with Lyapunov stability theory.

The feedback controller we design ensures the robust stability of uncertain neural networks with mixed time delays.

We further design a robust H ∞ controller which guarantees the robust stability of the uncertain neural networks with a given H ∞ performance level.

The delay-dependent criteria are derived in terms of LMI (linear matrix inequality).

Finally, numerical examples are provided to show the effectiveness of the obtained results.