Consensus over Switching Network Topology

• Autore: Qin Jiahu
• Pubblicazione: Cham : , : Springer International Publishing AG, , 2021; ©2022
• Descrizione fisica: 1 online resource (254 pages)
• Soggetto genere / forma: Electronic books.
• Altri autori: MaQichao GaoHuijun ZhengWei Xing KangYu
• Nota di contenuto: Intro -- Preface -- Contents -- 1 Introduction -- 1.1 Background -- 1.2 Outline and Overview of the Chapters -- 1.3 Preliminary -- 1.3.1 Digraph and Matrix -- 1.3.2 Dynamically Changing Digraph -- 1.3.3 Nonnegative Matrix and M-Matrix Theory -- 1.3.4 Kronecker Product -- 1.3.5 Notations -- 2 Consensus of Double-Integrators over Switching Network Topology -- 2.1 Continuous-Time Systems with Piecewise Fixed Network Topology -- 2.1.1 Agent Model Without/with Communication Delay -- 2.1.2 Stationary Consensus without Communication Delay -- 2.1.3 Stationary Consensus with Communication Delay -- 2.1.4 Numerical Examples -- 2.1.5 Conclusion -- 2.1.6 Appendix -- 2.2 Sampled-Data Systems with Piecewise Continuous Network Topology -- 2.2.1 Sampled-Data Agent Model with Nonuniform and Time-Varying Communication Delays -- 2.2.2 Graph Augmentation and Joint Connectivity -- 2.2.3 Consensus via Product of Stochastic Matrices -- 2.2.4 Numerical Examples -- 2.2.5 Conclusion -- 2.2.6 Appendix -- 2.3 Asynchronous Update Systems with Piecewise Continuous Network Topology -- 2.3.1 Asynchronous Update Agent Model -- 2.3.2 Consensus for Asynchronous Update -- 2.3.3 Consensus Analysis via Augmented Synchronous Update -- 2.3.4 Numerical Examples -- 2.3.5 Conclusion -- 3 Generic Linear Systems over Undirected Network: Controllability and Connectivity -- 3.1 Piecewise Continuous and Balanced Network Topology -- 3.1.1 Network Configuration -- 3.1.2 Weakly Connected Network Topology (WCNT) -- 3.1.3 WCNT with Communication Constraints -- 3.1.4 Repeatedly Jointly WCNT -- 3.1.5 Numerical Examples -- 3.1.6 Conclusion -- 3.1.7 Appendix -- 3.2 Piecewise Fixed Network Topology: Necessary and Sufficient Conditions -- 3.2.1 Problem Reformulation and Preliminary Results -- 3.2.2 A Subspace Method for Consensus Analysis -- 3.2.3 Extension to Unstable System Dynamics -- 3.2.4 Conclusion. ; 3.2.5 Appendix: Technical Analysis -- 3.3 Continuously Time-varying Network Topology via Uniform Complete Observability Theory -- 3.3.1 Agent Model and Network Configuration -- 3.3.2 Uniform Complete Observability -- 3.3.3 A Compact Set of Matrix-Valued Functions and Exponential Consensus -- 3.3.4 Further Discussions and Conclusion -- 3.3.5 Appendix: Proof of Lemma 3.56 -- 4 Generic Linear Systems over Directed Switching Network Topology -- 4.1 Discrete-Time Systems with Invertible Input Matrix -- 4.1.1 Agent Model and Network Configuration -- 4.1.2 Theoretical Results and Convergence Analysis -- 4.1.3 Further Analysis and Extensions -- 4.1.4 Numerical Examples -- 4.1.5 Conclusion -- 4.2 Continuous-Time Systems with Invertible Input Matrix -- 4.2.1 Agent Model and Network Configuration -- 4.2.2 Theoretical Results and Convergence Analysis -- 4.2.3 Numerical Examples -- 4.2.4 Conclusion -- 4.3 Non-invertible Input Matrix: an Algebraic and Geometric Perspective -- 4.3.1 System Model and Preliminary Results -- 4.3.2 Convergence Analysis over Any Subinterval Without Connectivity Requirement -- 4.3.3 Synchronization Under Joint Connectivity Condition -- 4.3.4 Numerical Examples -- 4.3.5 Proof of the Main Results -- 4.3.6 Conclusion -- 4.3.7 Appendix -- 5 Extensions to Containment Control -- 5.1 Collective Behavior of Generic Linear Agents … -- 5.1.1 Continuous-Time Setting -- 5.1.2 Discrete-Time Counterpart -- 5.1.3 Application to Consensus and Containment Control -- 5.1.4 Numerical Examples -- 5.1.5 Conclusion -- 5.2 Output Containment Control with Fixed and Switching Topologies -- 5.2.1 Agent Model and Problem Definition -- 5.2.2 A Necessary Condition from Internal Model Principle -- 5.2.3 Output Containment over Fixed Network Topology -- 5.2.4 Output Containment over Dynamic Network -- 5.2.5 Optimal Model-Free Output Containment. ; 5.2.6 Numerical Examples -- 5.2.7 Conclusion -- 5.3 Containment Control: a Novel State Transition Matrix Perspective -- 5.3.1 Agent Model and Problem Statement -- 5.3.2 The Consensus Pattern in Multi-Leader MASs -- 5.3.3 Containment of Positive Linear Systems -- 5.3.4 Second-Order Agents -- 5.3.5 Conclusion -- References.
• Altri titoli varianti: Consensus Over Switching Network Topology
• Titolo autorizzato: Consensus over Switching Network Topology
• ISBN: 3-030-85657-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910508442503321
• Lo trovi qui: Univ. Federico II
• Serie: Studies in Systems, Decision and Control Ser.