## Abstract and Applied Analysis

### Leader-Following Consensus Stability of Discrete-Time Linear Multiagent Systems with Observer-Based Protocols

#### Abstract

We consider the leader-following consensus problem of discrete-time multiagent systems on a directed communication topology. Two types of distributed observer-based consensus protocols are considered to solve such a problem. The observers involved in the proposed protocols include full-order observer and reduced-order observer, which are used to reconstruct the state variables. Two algorithms are provided to construct the consensus protocols, which are based on the modified discrete-time algebraic Riccati equation and Sylvester equation. In light of graph and matrix theory, some consensus conditions are established. Finally, a numerical example is provided to illustrate the obtained result.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 357971, 10 pages.

Dates
First available in Project Euclid: 26 February 2014

https://projecteuclid.org/euclid.aaa/1393450350

Digital Object Identifier
doi:10.1155/2013/357971

Mathematical Reviews number (MathSciNet)
MR3111802

Zentralblatt MATH identifier
1291.93018

#### Citation

Xu, Bingbing; Gao, Lixin; Zhang, Yan; Xu, Xiaole. Leader-Following Consensus Stability of Discrete-Time Linear Multiagent Systems with Observer-Based Protocols. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 357971, 10 pages. doi:10.1155/2013/357971. https://projecteuclid.org/euclid.aaa/1393450350

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