Award Abstract # 1454022
CAREER: Systemic Performance and Robustness Measures for Large-Scale Dynamical Networks

NSF Org: ECCS
Division of Electrical, Communications and Cyber Systems
Recipient: LEHIGH UNIVERSITY
Initial Amendment Date: January 16, 2015
Latest Amendment Date: January 16, 2015
Award Number: 1454022
Award Instrument: Standard Grant
Program Manager: Radhakisan Baheti
ECCS
 Division of Electrical, Communications and Cyber Systems
ENG
 Directorate for Engineering
Start Date: March 15, 2015
End Date: February 29, 2020 (Estimated)
Total Intended Award Amount: $500,000.00
Total Awarded Amount to Date: $500,000.00
Funds Obligated to Date: FY 2015 = $500,000.00
History of Investigator:
  • Nader Motee (Principal Investigator)
    motee@lehigh.edu
Recipient Sponsored Research Office: Lehigh University
526 BRODHEAD AVE
BETHLEHEM
PA  US  18015-3008
(610)758-3021
Sponsor Congressional District: 07
Primary Place of Performance: Lehigh University
19 Memorial Drive West
Bethlehem
PA  US  18015-3085
Primary Place of Performance
Congressional District:
07
Unique Entity Identifier (UEI): E13MDBKHLDB5
Parent UEI:
NSF Program(s): EPCN-Energy-Power-Ctrl-Netwrks
Primary Program Source: 01001516DB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s): 092E, 1045
Program Element Code(s): 760700
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.041

ABSTRACT

Improving energy efficiency as well as robustness to external perturbations in large-scale dynamical networks is critical for long-term sustainability, from engineering infrastructures to living cells. Examples include distributed power networks, distributed emergency response systems, interconnected transportation networks, metabolic pathways, and social and financial networks. The overarching goal of this project is to develop new methodologies to classify viable domain-specific systemic performance, risk, and fragility measures for dynamical networks and quantify inherent fundamental limits on the best achievable values for each class of such systemic measures. The main barrier to achieve this objective is the lack of rigorous knowledge about networks of interconnected dynamical systems when it comes to understanding their structure, dynamics and holistic behaviors.

The issue of fundamental limits and their resulting tradeoffs are important for synthesis of dynamical network as they reveal what is achievable, and conversely what is not achievable by feedback control mechanisms. The focus of this project is to reveal important role of underlying dynamical structure and sparse information structure of dynamical networks in emergence of severe fundamental limits on the best achievable levels of performance and robustness.

This project is highly relevant for analysis and synthesis of engineered and natural dynamical networks. Recent technological advances in distributed control and dynamical systems cannot be efficiently integrated on real platforms without the necessary theoretical and experimental support. This project will produce data-driven algorithms to assess global performance and robustness properties of engineered dynamical networks by computing the values of viable systemic measures in real-time operation. The application areas include energy, robotic, transportation, and biological networks. This project further seeks to make broad impacts through development and dissemination of courses and material in academia and industry that cover key network science concepts while staying grounded in engineering applications.

The technical goal of this project is to develop an integrated theory of dynamical networks based on notions of systemic measures. This project will focus on discovering connections between existing gold standard performance and robustness measures that have been used in disciplines such as control theory, dynamical systems, physics, biology, and finance, and develop a unified systems-theoretic framework for characterization of such measures and their inherent fundamental limits and tradeoffs. This project intends to create a multidisciplinary research environment focusing on developing a foundational science that allows for measuring, predicting, and containing systemic measures for network-oriented applications.

PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

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(Showing: 1 - 10 of 38)
C. Somarakis and N. Motee "Performance Analysis of Consensus Networks Driven by Levy Motion" American Control Conference , 2018
C. Somarakis, E. Paraskevas, J. S. Baras and N. Motee "Convergence Analysis of Classes of Asymmetric Networks of Cucker-Smale Type with Deterministic Perturbations" IEEE Transactions on Control of Network Systems , v.5 , 2018 , p.1852 10.1109/TCNS.2017.2765824
C. Somarakis, E. Paraskevas, J.S. Baras and N. Motee "Synchronization and Collision Avoidance in Non-Linear Flocking Networks of Autonomous Agents" The 24th Mediterranean Conference on Control and Automation (MED 2016) , 2016 , p.pp. 1089- 10.1109/MED.2016.7536030
C. Somarakis, J.S. Baras and N. Motee "Consensus and Synchronized Periodicityin Nonlinear Delayed Networks" The 22nd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2016) , 2016 , p.pp. 823-8
C. Somarakis, M. Siami & N. Motee "Interplays between Systemic Risk and Network Topology in Consensus Networks" The 6th IFAC Workshop on DistributedEstimation and Control in Networked Systems (NecSys16) , v.49 , 2016 , p.pp. 333-3 http://dx.doi.org/10.1016/j.ifacol.2016.10.419
C. Somarakis & N. Motee "Nonlinear Flocking with Guaranteed Relative Distances" The 10th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2016) , v.49 , 2016 , p.pp. 576-5 http://dx.doi.org/10.1016/j.ifacol.2016.10.227
C. Somarakis, Y. Ghaedsharaf and N. Motee "Aggregate Fluctuations in Time-DelayLinear Consensus Networks: A Systemic Risk Perspective" American Control Conference , 2017 , p.2378-5861 10.23919/ACC.2017.7963304
C. Somarakis, Y. Ghaedsharaf and N. Motee "Risk of Collision and Detachment in Vehicle Platooning: Time-Delay Induced Limitations and Trade-offs" IEEE Transactions on Automatic Control , v.Vol. 65 , 2020
C. Somarakis, Y. Ghaedsharaf and N. Motee "Time-Delay Origins of Fundamental Tradeoffs Between Risk of Large Fluctuations and Network Connectivity" IEEE Transactions on Automatic Control , v.64 , 2019 , p.3571 10.1109/TAC.2019.2894615
H.K. Mousavi and N. Motee "Performance of Dynamical Networks over Random Graphs" American Control Conference , 2018
H. K. Mousavi, C. Somarakis and N. Motee "Spectral performance analysis and design for distributed control of multi-agent systems" 2017 IEEE 56th Annual Conference on Decision and Control (CDC) , 2017 10.1109/CDC.2017.8264083
(Showing: 1 - 10 of 38)

PROJECT OUTCOMES REPORT

Disclaimer

This Project Outcomes Report for the General Public is displayed verbatim as submitted by the Principal Investigator (PI) for this award. Any opinions, findings, and conclusions or recommendations expressed in this Report are those of the PI and do not necessarily reflect the views of the National Science Foundation; NSF has not approved or endorsed its content.

Fundamental limits on computation, prediction, communication, decision, control, energy conversion and even measurement are at the heart of modern mathematical theories of distributed control and dynamical systems. Minimizing resource use as well as robustness to external perturbations in dynamical networks is crucial to sustainability, from engineering infrastructures to living cells. Examples include distributed power networks, distributed emergency response systems, interconnected transportation networks, metabolic pathways, and even social and financial networks. The issue of hard limits and their fundamental tradeoffs in distributed control and dynamical system design lies at the very core of feedback theory since it reveals what is achievable and conversely what is not achievable by distributed feedback control laws.

 

This project developed new fundamental insights and methodologies to exploit structural properties of large-scale dynamical networks in order to quantify their inherent fundamental limits on performance and robustness and characterize their resulting fundamental tradeoffs. Our approach was based on integration of concepts from dynamical and control systems, optimization, operator, and graph theories. The primary focus of this project was on revealing foundational role of underlying dynamical structure and sparse information structure of large-scale dynamical networks in emergence of severe theoretical fundamental limits on the resulting performance and robustness in such networks.

 

Intellectual Merit: This research provides a novel unified approach for analysis and synthesis of large-scale dynamical network.  The notion of systemic performance and robustness measures provides a unifying umbrella under which an integrated theory of fundamental limits and tradeoffs to systematically deal with uncertainty, performance, robustness, and risk in distributed control and dynamical systems becomes possible.  The PI has created a multidisciplinary research environment focusing on developing a foundational science that allows for measuring, predicting, and containing systemic measures for various domain-specific applications.

 

Broader Impacts: The proposed research is highly relevant for analysis and synthesis of engineered and natural dynamical networks. The PI and his team have developed efficient algorithms to assess global performance and robustness properties of engineered large-scale dynamical networks by computing the value of their corresponding systemic measures in real-time. The application areas include energy, robotic, transportation, and biological networks. The broader impact of this project includes disseminating the research outcomes in various conferences, workshops, and invited seminars. 

 


Last Modified: 06/29/2020
Modified by: Nader Motee

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