We consider the problem of analysing and designing gradient-based discrete-time
optimisation algorithms for a class of unconstrained optimisation problems having strongly …

This paper investigates the event-triggered control problem for perturbed systems under
neural network controllers. We propose a novel event-triggering mechanism, based on local …

In this paper, we analyze the stability of feedback interconnections of a linear time-invariant
system with a neural network nonlinearity in discrete time. Our analysis is based on …

We study robustness properties of some iterative gradient-based methods for strongly
convex functions, as well as for the larger class of functions with sector-bounded gradients …

In this article, we develop and analyze convex searches for Zames-Falb multipliers. We
present two different approaches: infinite impulse response (IIR) and finite impulse response …

In this note it is shown that the famous multiplier absolute stability test of R. O'Shea, G.
Zames and P. Falb is necessary and sufficient if the set of Lur'e interconnections is lifted to a …

This paper is concerned with the computation of the local Lipschitz constant of feedforward
neural networks (FNNs) with activation functions being rectified linear units (ReLUs). The …

We propose an input–output stability analysis for closed-loop systems of piece-wise affine
models under unstructured uncertainty and controlled by multi-model linear MPC with input …

In this paper, we focus on the “positive” l 2 induced norm of discrete-time linear time-
invariant systems where the input signals are restricted to be nonnegative. To cope with the …

This paper considers the robust stability of a discrete-time Lurye system consisting of the
feedback interconnection between a linear system and a bounded and monotone …