Control (management)

Step response

Engineering

Biology

Control engineering

Applied mathematics

Stability (learning theory)

Computer science

Complex network

Controller (irrigation)

Settling time

Mathematics

Agronomy

Synchronization (alternating current)

Artificial intelligence

Combinatorics

Topology (electrical circuits)

Control theory (sociology)

Machine learning

IEEE Transactions on Cybernetics

This brief proposes a unified theoretical framework to investigate the finite/fixed-time synchronization of complex networks with stochastic disturbances. By designing a common pinning controller with different ranges of power parameters, both the goals of finite-time and fixed-time synchronization in probability for the network topology containing spanning trees can be achieved. Moveover, with the help of finite-time stochastic stability theory, two types of explicit expressions of finite/fixed (dependent/independent on the initial values) settling times are calculated as well. One numerical example is finally presented to demonstrate the effectiveness of the theoretical analysis.

Finite/Fixed-Time Pinning Synchronization of Complex Networks With Stochastic Disturbances