Jokić, Andrej and Nakić, Ivica (2016) 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. In: 22nd International Symposium on Mathematical Theory of Networks and Systems, 12-15.07.2016., Minneapolis, SAD.
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Jokic_On_additive_Lyapunov_functions_and_existence_pf_neutral_supply_rates_in_acyclic_LTI_dynamical_networks.pdf - Published Version Jezik dokumenta:English Download (226kB) | Preview |
Abstract
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.
| Item Type: | Conference or Workshop Item (Lecture) |
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| Keywords (Croatian): | stability; dissipativity; large-scale systems; networks |
| Subjects: | NATURAL SCIENCES > Mathematics |
| Divisions: | 900 Department of Robotics and Production System Automation > 910 Chair of Engineering Automation |
| Indexed in Web of Science: | No |
| Indexed in Current Contents: | No |
| Date Deposited: | 19 Apr 2017 08:47 |
| Last Modified: | 21 Nov 2018 11:34 |
| URI: | http://repozitorij.fsb.hr/id/eprint/7696 |
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