Global State Synchronization in Networks of Cyclic Feedback Systems

On the internal model principle in formation control and in output synchronization of nonlinear systems

“…Examples of systems satisfying (5) are found in the literature [4]. For the synchronization problem, which is briefly reviewed in Section III, we need the relative measurements of the signals y i and y j .…”

“…In [13, Theorem 2], output synchronization is proven with no such an assumption as incremental observability but requiring the systems to be incrementally output feedback passive and the network to satisfy a strong coupling assumption (namely, the algebraic connectivity of the graph should be larger than a certain constant). On the other hand, incremental observability must be assumed to prove state synchronization [4]. Strict incremental passivity for network of systems has been studied in [7] (see also [6]) and used to prove exponential synchronization under integral coupling in an all-to-all graph.…”

Generalized PID Synchronization of Higher Order Nonlinear Systems With a Recursive Lyapunov Approach

“…Strategies allowing to reach an agreement among dynamical agents with only local interactions have found successful applications in mobile robots and unmanned aerial vehicles formation control, distributed sensors communication, platooning and formation control [4]- [6]. Other relevant applications are related to the synchronization of biochemical oscillators and to the control of distributed large-scale systems, with a particular attention to the class of electrical power networks and smart grids [7]- [9].…”

Incremental passivity and output tracking of switched nonlinear systems

“…It is also an input-output property that links the difference of any two inputs and the difference of the corresponding outputs through the incremental supply rate (Pavlov and Marconi 2008), this property is originally proposed from an operator point of view (Zames 1966;Desoer and Vidyasagar 1975). In addition, no matter a system has an equilibrium point or not, the incremental passivity theory can be used to solve a class of problems for the system (Fromion, Scorletti, and Ferreres 1999;Hernandez-Gomez, Ortega, Lamnabhi-Lagarrigue, and Escobar 2010;Hines, Arcak, and Packard 2010;Hamadeh, Stan, Sepulchre, and Goncalves 2012), and has wide applications in many practical fields, for instance, this theory has been applied to the analysis of electrical circuits (Sanders and Verghese 1990), and has also been adopted to the synchronisation analysis problem of coupled oscillators (Stan 2005).…”