Pregled bibliografske jedinice broj: 1054965
On Structured Lyapunov Functions and Dissipativity in Interconnected LTI Systems
On Structured Lyapunov Functions and Dissipativity in Interconnected LTI Systems // IEEE transactions on automatic control, 65 (2020), 3; 970-985 doi:10.1109/TAC.2019.2915751 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1054965 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On Structured Lyapunov Functions and Dissipativity in Interconnected LTI Systems
Autori
Jokić, Andrej ; Nakić, Ivica
Izvornik
IEEE transactions on automatic control (0018-9286) 65
(2020), 3;
970-985
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Interconnected systems ; linear matrix inequalities ; linear systems ; Lyapunov methods ; robust control ; stability
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Strojarstvo
POVEZANOST RADA
Projekti:
HRZZ-UIP-2013-11-9354 - Upravljanje prostorno distribuiranim dinamičkim sustavima (ConDis) (Jokić, Andrej, HRZZ - 2013-11) ( CroRIS)
HRZZ-IP-2016-06-2468 - Upravljanje dinamičkim sustavima (ConDyS) (Lazar, Martin, HRZZ ) ( CroRIS)
HRZZ-IP-2013-11-9345 - Matematičko modeliranje, analiza i računanje s primjenama na kompleksne mehaničke sustave (MMACACMS) (Drmač, Zlatko, HRZZ - 2013-11) ( CroRIS)
KK.01.1.1.01.0009 - Napredne metode i tehnologije u znanosti o podatcima i kooperativnim sustavima (EK )
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Fakultet strojarstva i brodogradnje, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
