On additive Lyapunov functions and existence of neutral supply rates in acyclic LTI dynamical networks

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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Official URL: http://hdl.handle.net/11299/181518

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)
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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