Finite-Time Semistability and Consensus for Nonlinear Dynamical Networks
By Qing Hui, Wassim M. Haddad, Sanjay P. Bhat. 2008
311 citations recorded by the source corpus.
Subfields: Computer Networks and Communications, Control and Systems Engineering, Molecular Biology
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In Computer Networks and Communications
In Control and Systems Engineering
In Molecular Biology
Citations in the corpus
- An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination (2012, background): “On the contrary, the finite-time consensus algorithms devel oped in [88], [93], [161], [162], [165], which utilize the signum function, are able to do so.”
- On robust control algorithms for nonlinear network consensus protocols (2008, methodology): “[7]) Suppose f :Rn→Rn is homogeneous of degree k∈R with respect to and (1) is semistable under f .”
- Finite-Time Rendezvous Algorithms for Mobile Autonomous Agents (2011, methodology): “For details concerning Assumptions 1 and 2 and their connections to system thermodynamics see [ 4 ]‐[6], [10].”
- Distributed finite-time tracking control for multi-agent systems: An observer-based approach (2013, background): “For example, some necessary and sufficient conditions for finitetime semi-stability of homogeneous multi-agent systems were addressed in [19].”
- Finite-time synchronization of complex networks with nonidentical discontinuous nodes (2013, background): “The best property of such systems that should be stressed is the global convergence in finite time [9, 10].”
- Decentralized finite-time sliding mode estimators and their applications in decentralized finite-time formation tracking (2010, background): “Note that although finitetime consensus was solved in [33] [34] [35], the algorithms proposed in [33] [34] [35] cannot be applied to the case when there exists a dynamic virtual leader in the absence of velocity or acceleration measurements.”
- Time-varying feedback for regulation of normal-form nonlinear systems in prescribed finite time (2017, background): “Comparison with non-smooth finite-time designs Existing non-smooth designs, such as (Huang et al., 2015, 2005; Hui et al., 2008; Li et al., 2011; Wang et al., 2014, 2016; Wang & Xiao, 2010), guarantee finite time of regulation, T ∗ ≤ V (x(t0)) 1−α c(1−α) , which grows with the size of the initial…”
- Finite Time Distance-based Rigid Formation Stabilization and Flocking (2014, background): “Finite time convergence brings about many benefits, which include not only a faster convergence rate, but also improved disturbance rejection and robustness properties Bhat and Bernstein (2000), Hui et al. (2008).”
- Prescribed-Time Consensus and Containment Control of Networked Multiagent Systems (2019, unknown): “The methods suggested in [8]–[18] involve the fractional power state feedback, rendering control action nonsmooth.”
- Consensus Problems on Networks With Antagonistic Interactions (2013, background): “These include several aspects not discussed in the paper, like finite-time semistability [26], consensus in presence of time-delays or when the strong connectivity assumption is relaxed.”