Global Uniform Ultimate Boundedness of Semi-Passive Systems Interconnected over Directed Graphs
Résumé
We analyse the solutions of networked heterogeneous nonlinear systems 1 ẋi = fi(xi) + ui xi ∈ R, i ∈ {1, 2, • • • , n}, (1) where fi : R → R is continuous for all i ∈ {1, 2, • • • , n} and the control inputs are set to ui := −γ n i=1 where γ > 0 is a coupling gain and aij ≥ 0 are interconnection weights. We assume that theclosed-loop interconnected systems form a network with an underlying connected directed graph that contains a directed spanning tree. For these systems, we establish global uniform ultimate boundedness of the solutions, under the assumption that each system (1) defines a semi-passive [5] map ui 7 → xi. As a corollary, we also establish global uniform global boundedness of the solutions.
Domaines
Systèmes dynamiques [math.DS]| Origine | Fichiers produits par l'(les) auteur(s) |
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