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Code and examples for the paper 'Computation of the analytic center of the solution set of the linear matrix inequality arising in continuous- and discrete-time passivity analysis'

Authors: Bankmann, Daniel; Mehrmann, Volker; Nesterov, Yurii; Van Dooren, Paul;

Code and examples for the paper 'Computation of the analytic center of the solution set of the linear matrix inequality arising in continuous- and discrete-time passivity analysis'

Abstract

The first author is supported by the German Research Foundation DFG as part of the project `Distributed Dynamic Security Control in Next-Generation Electrical Power Systems' with the project identification number 361092219 of the priority program `DFG SPP 1984 - Hybrid and multimodal energy systems: System theory methods for the transformation and operation of complex networks' . The second author is supported by the German Federal Ministry of Education and Research BMBF within the project EiFer and by Deutsche Forschungsgemeinschaft, through TRR 154 'Mathematical Modelling, Simulation and Optimization using the Example of Gas Networks'. The third author is supported by ERC Advanced Grant 788368. The fourth author is supported by Deutsche Forschungsgemeinschaft, through TRR 154 'Mathematical Modelling, Simulation and Optimization using the Example of Gas Networks'.

Python library for computing the analytic center of the passivity LMI in the continuous- and discrete-time setting. See the paper 'Bankmann, D.; Mehrmann, V.; Nesterov, Y.; van Dooren, P., 'Computation of the analytic center of the solution set of the linear matrix inequality arising in continuous- and discrete-time passivity analysis, 2019' for more details see the gitlab page for more information; try mybinder for a live demo;

Keywords

analytic center, passivity, robustness, positive real system, algebraic Riccati equation, linear matrix inequality

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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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