University of Groningen
Analysis of Structural Properties of Complex and Networked Systems
Jia, Jiajia
DOI:
10.33612/diss.136303707
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Publication date:
2020
Link to publication in University of Groningen/UMCG research database
Citation for published version (APA):
Jia, J. (2020). Analysis of Structural Properties of Complex and Networked Systems. University of
Groningen. https://doi.org/10.33612/diss.136303707
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Propositions
belonging to the thesis
Analysis of Structural Properties of
Complex and Networked Systems
By
Jiajia Jia
1. No matter how complex the universe and its changes are, they become simple after we understand the basic principles behind them. (Chapter 1: Inspired by I Ching)
2. In this thesis, a unifying framework for strong structural controllability has been developed, which generalizes previous results that exist in the literature. (Chapter 2)
3. By only considering structural information on the system matrices, in this thesis a qualitative but efficient method has been provided to check the solvability of fault detection and isolation problems for linear systems. (Chapter 3)
4. By taking possible dependencies among the weights on the links into account, in this thesis sharper conditions for strong structural con-trollability of networked systems have been obtained. (Chapter 4 and 5)
5. Simplifying the agents’ dynamics in networked systems to the single-integral case is mathematically convenient, but also produces disad-vantages that can not be ignored. Thus an open problem arises how the dynamics of the agents and the underlying interconnection network together affect strong structural properties of complex and networked systems. (Chapter 6)
6. Engineers are so ambitious that they try to use the sparsest possible information to predict as much as possible; mathematicians are so rigorous that they try to use all possible information to understand as deeply as possible. (Underlying principles of Part I and II)
7. 路漫漫其修远兮，吾将上下而求索。–屈原（离骚）
Despite how rough and endless the road ahead is, one should still keep exploring with hope and determination. – Quyuan (Li Sao) (Trans-lated according to its meaning)
8. A good researcher is also a good teacher. (One of the most memorable things that I learned from my supervisor)
