Guaranteed‐cost finite‐time consensus of multi‐agent systems via intermittent control

Abstract

The guaranteed‐cost finite‐time consensus control problem for a class of nonlinear multi‐agent systems with uncertain parameters was investigated. For a class of nonlinear multi‐agent systems with uncertain parameters, a periodic intermittent control strategy and a continuous feedback control strategy were designed, and the guaranteed‐cost consensus control of the system was investigated using Lyapunov stability theory and matrix inequality technology. Several sufficient conditions to achieve the guaranteed‐cost finite‐time consensus were obtained. It was demonstrated that the multi‐agent system could achieve consensus in a finite time under certain conditions, and the upper bound of the time was given to make the system achieve consensus in finite time. The upper bound of the guaranteed‐cost function was also obtained. Finally, simulations were provided to verify the effectiveness of the proposed method.

Design and Analysis of a Novel Distributed Gradient Neural Network for Solving Consensus Problems in a Predefined Time

“…Lemma 3: [35] Let G be a connected graph and L its Laplacian matrix. The second smallest eigenvalue of L, denoted by…”

Weighted Pseudo-θ-Almost Periodic Sequence and Finite-Time Guaranteed Cost Control for Discrete-Space and Discrete-Time Stochastic Genetic Regulatory Networks with Time Delays

“…Wang [29] investigates the dual effects of discrete space and discrete time in stochastic genetic regulatory networks by means of exponential Eulerian differences and central finite differences. In addition, finite-time guaranteed cost control is a very effective method in the engineering field due to its many advantages in practical applications, see references [30][31][32][33][34][35][36][37]. The advantages of finite-time guaranteed cost controllers are listed below: (1) Stability.…”