Finite and Fixed Time Semistability and Consensus for Nonlinear Discrete-Time Network Systems

Abstract

This paper focuses on finite time and fixed time consensus protocols for discrete-time networks. Specifically, we build on the theory of finite time semistability for discrete-time dynamical systems to develop Lyapunov theorems for fixed time semistability. These results are then used to develop a framework for designing finite and fixed time semistable consensus protocols for discrete dynamical networks that achieve multiagent coordination tasks in finite and fixed time.