scholarly journals Consensus Problem for Linear Time-Invariant Systems with Time-Delay

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
V. Fragoso-Rubio ◽  
M. Velasco-Villa ◽  
M. A. Vallejo-Alarcón ◽  
J. A. Vásquez-Santacruz ◽  
M. A. Hernández-Pérez
Keyword(s):  
Time Delay ◽  
Linear Time ◽  
Consensus Problem ◽  
Consensus Protocol ◽  
Linear Time Invariant ◽  
Future State ◽  
System Input ◽  
Future Value ◽  
Linear Time Invariant Systems ◽  
Time Invariant

This work deals with the consensus problem of networks of agents with linear time-invariant dynamics and input time-delay. A predictor-observer scheme that estimates the future value of the system state is considered. The partitioned nature of the predictor allows dealing with larger time-delays than those reported in the literature. The estimated future state of the system is later used in the consensus protocol with the aim of compensating the system input delay. The effectiveness of the solution is shown by means of numerical evaluations.

scholarly journals Sign-Consensus of Linear Multiagent Systems under a State Observer Protocol

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-6
Author(s):  
Wei-Lu Diao ◽  
Cui-Qin Ma
Keyword(s):  
Linear Time ◽  
Sufficient Conditions ◽  
State Observer ◽  
Matrix Analysis ◽  
Positive Sign ◽  
Consensus Protocol ◽  
Linear Time Invariant ◽  
Signed Digraph ◽  
Linear Time Invariant Systems ◽  
Time Invariant

The sign-consensus problem for linear time-invariant systems under signed digraph is considered. The information of the agents’ states is reconstructed, and then, a state observer-type sign-consensus protocol is proposed, whose performance is analyzed using matrix analysis and ordinary differential equation theory. Sufficient conditions for ensuring sign-consensus are given. It is proven that if the adjacency matrix of the signed digraph has strong Perron–Frobenius property or is eventually positive, sign-consensus can be achieved under the proposed protocol. In particular, conventional consensus is a special case of sign-consensus under mild conditions.

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