Secure Stabilization of Networked Lur'e Systems Suffering From DoS Attacks: A Resilient Memory-Based Event-Trigger Mechanism.

This paper focuses on the exponential stabilization issue of networked Lur’e systems (NLSs) suffering from DoS attacks. To conserve limited network resources and withstand aperiodic DoS attacks, a resilient memory-based event-trigger (RMET) mechanism is firstly designed. Then, based on an in-depth discussion on the relationship between the RMET scheme and DoS attacks, a comprehensive closed-loop system mathematical model is established. The model describes a clear switching characteristic of the whole control loop among waiting intervals, detection intervals, and DoS attacking intervals. On this basis, two multi-interval-dependent Lyapunov functionals (MIDLFs) are constructed. The primary advantage of the MIDLFs is that they can effectively exploit the information contained within the waiting intervals and DoS attacking intervals. Subsequently, an exponential stability criterion is derived by virtue of the continuity of the designed MIDLFs and the application of various inequality estimation techniques. Additionally, a co-design algorithm associated with the secure feedback gain and the event-trigger (ET) matrix is carried out. Finally, two numerical simulations are utilized to confirm the benefits of the RMET mechanism and MIDLFs in reducing the number of data packets as well as enhancing the tolerance ability of DoS attacks, respectively.