Safety–Critical Event–Triggered Control for Quasi–Linear Systems on Measure Chains

In this letter, an event-triggered safety-critical control algorithm is designed for quasi-linear systems evolving on any arbitrary time domains using the concept of measure chain theory. The concept of input-to–state (ISS) safe barrier functions on measure chains is used to prove safety of the closed-loop quasi-linear system. The stability of the closed-loop system on measure chains is also analyzed. The results are valid not only for continuous-time and discrete-time systems with constant sampling but also for systems evolving in any other time domains. Numerical simulations are performed for systems on some measure chains which justify the proposed approach.