Automation department seminar

Title : Stabilization of a delayed KdV equation and reconstruction of potentials for the wave equation on a tree.

Summary : This talk will be in two parts. In the first part, I will present results on the exponential stabilization of a KdV equation with a delayed edge feedback term. We will see two different approaches to solving this question, one based on a Lyapunov functional and another on an observability inequality.

In the second part of the talk, the aim will be to reconstruct potentials for wave equations posed on a tree network, from measurements made at the leaves of the tree. Relying on a Lipschitz-type stability property of the inverse problem, we present an efficient reconstruction algorithm based on the use of a global Carleman inequality.

Title : Event-driven control of polytopic systems subject to hybrid cyberattacks and network delays.

Abstract : This seminar deals with resilient event-triggered control of periodic events for networked polytopic systems subject to cyberattacks and network-induced delays.

The attack scenarios considered include stochastic deception attacks, modeled by a Bernoulli process, and an extension to hybrid attacks, where stochastic deception attacks and denial-of-service (DoS) attacks coexist.

In this framework, DoS attacks are described by deterministic models that limit the average frequency and duration of communication interruptions.

A programmed-gain controller and event-triggering mechanism are co-designed using LMI-based conditions derived from Lyapunov-Krasovskii analysis and switching systems, guaranteeing the mean-square stability of the closed-loop system in the presence of delays and attacks.

Optimization-based design is further introduced to improve resilience against DoS attacks while reducing communications usage. Numerical examples demonstrate the effectiveness of the proposed approach.