Distributed Finite-Time Boundedness Control for Large-Scale Networked Dynamic Systems

In this paper, we investigate the finite-time boundedness problems for large-scale continuous-time networked dynamical systems constituted by lots of subsystems. The interactions among these subsystems are arbitrary, and every subsystem has different dynamics. The linear time-varying and time-invariant cases are discussed respectively. Sufficient conditions for the design of finite-time boundedness state feedback controller are derived, which efficiently utilize the characteristic of system structure with the block-diagonal structure of system parameter matrices and the sparseness of the system topology. Sufficient conditions depending only on parameter matrices of the individual subsystem are also provided. Furthermore, sufficient conditions are provided for the design of the distributed output feedback controller with finite-time boundedness. Several numerical simulations have been used to show the validity of the derived conditions in the analysis of a large-scale networked system.