On Structured Lyapunov Functions and Dissipativity in Interconnected LTI Systems (CROSBI ID 276533)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Jokić, Andrej ; Nakić, Ivica
engleski
On Structured Lyapunov Functions and Dissipativity in Interconnected LTI Systems
In this paper, we study connections between structured storage or Lyapunov functions of a class of interconnected systems (dynamical networks) and dissipativity properties of the individual systems. We prove that if a dynamical network, composed as a set of linear time invariant systems interconnected over an acyclic graph, admits an additive quadratic Lyapunov function, then the individual systems in the network are dissipative with respect to a (nonempty) set of interconnection neutral supply functions. Each supply function from this set is defined on a single interconnection link in the network. Specific characterizations of neutral supply functions are presented, which imply robustness of network stability/dissipativity to removal of interconnection links.
Interconnected systems ; linear matrix inequalities ; linear systems ; Lyapunov methods ; robust control ; stability
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
65 (3)
2020.
970-985
objavljeno
0018-9286
1558-2523
10.1109/TAC.2019.2915751