Analysis of Interconnected Oscillators by Dissipativity Theory

By Guy-Bart Vincent Stan, Rodolphe Sepulchre. 2007

306 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Control and Systems Engineering, Molecular Biology

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Guanrong Chen
2. Wenwu Yu
3. Wei Ren
4. Yongcan Cao
5. S. E. Tuna
6. Frank L. Lewis
7. Zhongkui Li
8. David John Hill

In Control and Systems Engineering

1. Guanrong Chen
2. Wenwu Yu
3. Yongcan Cao
4. S. E. Tuna
5. Wei Ren
6. Rodolphe Sepulchre
7. David John Hill
8. Eduardo Sontag

In Molecular Biology

1. Guanrong Chen
2. Wenwu Yu
3. Wei Ren
4. S. E. Tuna
5. Yongcan Cao
6. Luca Scardovi
7. David John Hill
8. Romeo Ortega

Citations in the corpus

• An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination (2012, methodology): “More precisely, if the input delay for agenti is given byT pi , then the closed-loop system of (1) using (2) becomes ẋi(t) = n ∑ j=1 aij(t)[xj(t− T pi )− xi(t− T p i )].”
• Central pattern generators for locomotion control in animals and robots: A review (2008, unknown): “…intrinsic frequencies (Cohen et al., 1982; Schoner et al., 1990; Kopell, 1995; Ermentrout & Kopell, 1991; Pikovsky, Rosenblum, & Kurths, 2001; Golubitsky & Stewart, 2002; Wang & Slotine, 2005; Buchli, Righetti, & Ijspeert, 2006; Pham & Slotine, 2007; Stan & Sepulchre, 2007; Seo & Slotine , 2007).”
• Conditions for Synchronizability in Arrays of Coupled Linear Systems (2008, background): “It has also been shown that passivity theory can be useful in studying stability provided that the coupling is symmetric [4, 19, 22].”
• Synchronization of Interconnected Systems With Applications to Biochemical Networks: An Input-Output Approach (2009, background): “Sometimes in the literature the terms relaxed cocoercive, monotone, and cocoercive are referred as incrementally output-feedback passive, incrementally passive and incrementally output-strictly passive respectively [3].”
• Synchronization in networks of identical linear systems (2008, background): “The system dynamics can be modified through the information exchange, and, as in the consensus problem, the goal of the interconnection is to reach synchronization to a common solution of the individual dynamics [6], [7], [8], [9].”
• LQR-based coupling gain for synchronization of linear systems (2008, background): “It has also been shown that passivity theory can be useful in studying stability provided that the interconnection is symmetric [3, 17, 20].”
• Synchronization of Parallel Single-Phase Inverters With Virtual Oscillator Control (2014, methodology): “A construct we will find particularly useful in assessing signal differences is the N × N projector matrix [39], [40], [43], which is denoted by Π, and defined as”
• Synchronization of Networks of Nonidentical Euler-Lagrange Systems With Uncertain Parameters and Communication Delays (2011, methodology): “The passivity property has also been used in [10], [12]–[14] to analyze synchronization behavior.”
• Decentralised minimal-time consensus (2011, background): “Various applications can be cast in this framework, including swarming and flocking [1], [2], distributed computing [3], agreement in social networks [4], [5] or synchronisation of coupled oscillators [6], [7], [8].”
• A Differential Lyapunov Framework for Contraction Analysis (2012, background): “The original motivation for the present paper was to develop a differential framework for incremental dissipativity [4], [18], [51]—differential dissipativity—which will be the topic of a separate paper (see, e.”