Pregled bibliografske jedinice broj: 838028
On Additive Lyapunov Functions and Existence of Neutral Supply Rates in Acyclic LTI Dynamical Networks
On Additive Lyapunov Functions and Existence of Neutral Supply Rates in Acyclic LTI Dynamical Networks // Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems
Minneapolis (MN), 2016. str. 345-352 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)
CROSBI ID: 838028 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On Additive Lyapunov Functions and Existence of Neutral Supply Rates in Acyclic LTI Dynamical Networks
Autori
Jokić, Andrej ; Nakić, Ivica
Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni
Izvornik
Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems
/ - Minneapolis (MN), 2016, 345-352
ISBN
978-1-5323-1358-5
Skup
22nd International Symposium on Mathematical Theory of Networks and Systems
Mjesto i datum
Minneapolis (MN), Sjedinjene Američke Države, 12.07.2016. - 15.07.2016
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Stability ; dissipativity ; large-scale systems ; networks
Sažetak
In this paper we are concerned with linear time invariant (LTI) systems which admit a Lyapunov function with a specific additive structure. We prove that if a dynamical network, composed as set of LTI systems interconnected over an acyclic graph, admits an additive quadratic Lyapunov function, then the systems are dissipative with respect to a set of interconnection neutral supply rates (we show that this set is necessarily nonempty), where each supply rate from the set is defined on a single interconnection link in the network.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-UIP-2013-11-9354 - Upravljanje prostorno distribuiranim dinamičkim sustavima (ConDis) (Jokić, Andrej, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Fakultet strojarstva i brodogradnje, Zagreb
