A complete list of publications here and my Google Scholar page can be found here.

Preprints of our papers are open access. If you need a preprint, please contact wynita.griggs@ucd.ie.

Below you can find some sample papers on various topics – full details here. We have a number of patent filings in several of these areas.

Note: This page is still under construction.

#### 1. RECENT BOOKS

Electric and plug-in hybrid vehicle networks: Optimisation and Control (Book), CRC Press, November 2017

AIMD dynamics and distributed resource allocation (Book) SIAM, November 2016.

#### 2. SELECTED PAPERS ON CONTROL

A result on common quadratic Lyapunov functions, IEEE Trans. on Automatic Control, 2003

On common quadratic Lyapunov functions for pairs of stable LTI systems whose system matrices in companion form. IEEE Trans. on Automatic Control, 2003

Stability criteria for switched and hybrid systems, SIAM Review, 2007

On dimensionality reduction and stability of a class of switched descriptor systems, Automatica, 2012

Hurwitz Stability of Metzler Matrices, IEEE Trans. Automatic Control, 2010.

Classical stability criteria and the Schwarz matrix, IEEE Trans. Automatic Control, 2014

On a class of Generalised Eigenvalue Problems and equivalent Eigenvalue Problems that arise in Systems and Control Theory”, Automatica, 2011

On the SPRification of Linear Descriptor Systems via Output Feedback, IEEE Transactions on Automatic Control, Conditionally Accepted, 2017.

Switching Controller Design with Dwell-Times and Sampling, IEEE Transactions on Automatic Control, Accepted, 2016.

On the AIMD Algorithm Under Saturation Constraints, IEEE Transactions on Automatic Control, Conditionally Accepted, 2016.

On Recursive Schur Complements, Block Stability of Hurwitz Matrices, and Related Results, IEEE Transactions on Automatic Control, Conditionally Accepted, 2016

Smart Cities: A golden age for control theory, IEEE Technology and Society Magazine, Accepted, 2016

On the stability and convergence of a class of consensus systems with a nonlinear input, Automatica, Provisonally Accepted, 2017

#### 3. SELECTED PAPERS ON NETWORKING TOPICS

Non-homogeneous Markov Chains, unsynchronised AIMD, and network utility maximization, Submitted to Journal of the ACM, 2014

A positive systems model of TCP-like congestion control: Asymptotic results, ACM/IEEE Trans. Networking, 2006

Modeling TCP congestion control dynamics in drop-tail environments, Automatica, 2007

On the fair coexistence of loss and delay-based TCP’s, ACM/IEEE Trans. on Networking, 2011

On network efficiency, queue provisioning, and the delay bandwidth product rule, Shorten, R. and Leith, D. ACM/IEEE Transactions on Networking, 15(4), pp. 866-877, 2007.

Experimental Evaluation of TCP Protocols for High-Speed Networks, ACM/IEEE Transactions on Networking, 15(5), pp. 1109-1122, 2007.

Trading queuing delay for link utilisation, Computer Communications, 33(9), pp. 1108-1121 2010.

Distributed Dynamic Speed Scaling, IEEE Communications Society, Communications Technical Committee, ELetter, Special Issue on Low Power Communications, pp. 8-11, July 2010.

Stratus: Load Balancing the Cloud for Carbon Emissions Control, IEEE Transactions on Cloud Computing, Vol 1, pp. 1-10, 2013.

#### 4. SELECTED PAPERS ON TRANSPORTATION AND SMART CITIES

Cooperative regulation and trading of emissions using plug-in hybrid vehicles, IEEE Trans. on Intelligent Transportation Systems, 2013

Delay tolerant Stochastic Algorithms for Parking Space Assignment, IEEE Trans. on Intelligent Transportation Systems, 2014

On the design of campus parking systems with QoS guarantees, IEEE Transactions on Intelligent Transportation Systems, 2016

Leader and Leaderless Consensus with State Obfuscation: an Application to Speed Advisory Systems, Griggs, W., Russo, G., Shorten, R., IEEE Transactions on Intelligent Transportation Systems, Accepted, 2017.

Pedestrian-Aware Engine Management Strategies for Plug-in Hybrid Electric Vehicles, IEEE Transactions on Intelligent Transportation Systems, Accepted, 2017.

Smart Procurement of Naturally Generated Energy (SPONGE) for Plug-in Hybrid Electric Buses, IEEE Transactions on Automation Science and Engineering, Accepted, 2016.

Smart Cities: A golden age for control theory, IEEE Technology and Society Magazine, Accepted, 2016

A Distributed and Privacy-Aware Speed Advisory System for Optimising Conventional and Electric Vehicles Networks, IEEE Transactions on Intelligent Transportation Systems, 17(5), pp. 1308-1318, 2016.

Stochastic optimization approach for the car placement problem in ridesharing systems, Transportation Research Part B: Methodological 80, Vol. 80,2015.

Discretization of sparse linear systems, Systems and Control Letters, Vol. 80, pp 42-49, 2015. (This was motivated by the need to discretise large scale systems found in transportation)

Smart Procurement Of Naturally Generated Energy (SPONGE) for PHEVs, International Journal of Control, 89(7), pp. 1467-1480, 2016.

A big-data model for multi-modal public transportation with application to macroscopic control and optimisation, International Journal of Control, International Journal of Control, 88(11), pp. 2354-2368, 2015

A Google-like Model of Road Traffic Dynamics, International Journal of Control, Vol. 84, No. 3, pp. 633–651, 2011.

#### 5. SELECTED PAPERS ON LINEAR ALGEBRA

Comments on Lyapunov α-stability with some extensions, Variational and optimal control problems on unbounded domains, Contemporay Mathematics, Volume 619, (An edition in memory of Arieh Leizarowitz), 2014.

A characterisation of common diagonal stability over cones, Linear and Multilinear Algebra, Vol. 60(10), pp. 1117-1123, 2012.

Essentially Negative News about Positive Matrices, Linear Algebra and its Applications, Vol. 436 (9), 3425-3442, 2011.

Quadratic Lyapunov Functions for Systems with State Dependent Switching, Linear Algebra and its Applications, Vol. 433(1), 52–63, 2010.

On a theorem of Redheffer on diagonal stability, Linear Algebra and its Applications, 431(12), pp. 2317-2329,2009.

An elementary proof of the result of Barker, Berman and Plemmons, and some extensions, Linear Algebra and its Applications, 430(1), pp. 34-40, 2009.

An extension of the KYP-lemma for the design of state-dependent switching systems with uncertainty, Systems and control letters, Vol. 62(8), pp. 626–631, 2013.

Singularity conditions for the non-existence of a common quadratic Lyapunov function for pairs of third order linear time-invariant dynamic systems, Linear Algebra and its Applications, Vol. 413, pp. 24-35, 2006.

On the second eigenvalues of matrices associated with TCP, Linear Algebra and its Applications, 416(1), pp. 175-183, 2006.

On the Kalman-Yakubovich-Popov lemma and common Lyapunov solutions for matrices with, regular inertia, Linear Algebra and its Applications’, pp. 183-197, 2007.

#### 6. SELECTED PAPERS ON POSITIVE SYSTEMS

Essentially Negative News about Positive Matrices, Linear Algebra and its Applications, Vol. 436 (9), 3425-3442, 2011.

Hurwitz Stability of Metzler Matrices, IEEE Trans. Automatic Control, 2010.

Classical stability criteria and the Schwarz matrix, IEEE Trans. Automatic Control, 2014 – (This paper relates classical stability criteria to positivity)

On Recursive Schur Complements, Block Stability of Hurwitz Matrices, and Related Results, IEEE Transactions on Automatic Control, Conditionally Accepted, 2016

On the stability of switched positive linear systems, Gurwits, L, Shorten, R. and Mason, O., IEEE Transactions on Automatic Control, 52(6), pages 1099-1101, 2007.

On the existence of linear Lyapunov functions for sets of LTI positive systems, Knorn, F., Mason, Shorten, R., Automatica, 45(8), pp. 1943-1947, 2009.

On the existence of copositive Lyapunov functions, Mason, O. and Shorten, R. IEEE Transactions on Automatic Control, 52(7), 1346-1349, 2007.

Discretization of sparse linear systems, Souza, M., Geronmel, J., Colaneri, P., Shorten, R., Systems and Control Letters, Vol. 80, pp 42-49, 2015.

#### 7. SELECTED PAPERS ON AUTOMOTIVE CONTROL

Electric and plug-in hybrid vehicle networks: Optimisation and Control (Book), CRC Press, due November 2017

Pedestrian-Aware Engine Management Strategies for Plug-in Hybrid Electric Vehicles, IEEE Transactions on Intelligent Transportation Systems, Accepted, 2017.

Smart Procurement of Naturally Generated Energy (SPONGE) for Plug-in Hybrid Electric Buses, IEEE Transactions on Automation Science and Engineering, Accepted, 2016.

A passivity based decentralised design methodology with application to automotive control, Villegas, C., Griggs, W., Corless, M., Shorten, R., ASME Journal of Dynamic Systems, Measurement and Control, Vol 134(1), 2012.

A design methodology for the design of switched discrete time systems with application to Automotive Control, Solmaz, S., Shorten, R., Wulff, K. and O’Cairbre, F., Automatica, 44(9), pages 2358-2363, 2008.

Realtime Multiple-Model Estimation of Center of Gravity Position in Automotive Vehicles, Solmaz, S., Akar M., Shorten R., Vehicle systems dynamics, 46(9), pages 763-788, 2008.

A methodology for the design of robust rollover prevention controllers for automotive vehicles with active steering, Solmaz S., Corless M., Shorten R., International Journal of Control, 80(11), pp. 1763-1779, 2007.

Adaptive Williams Filters for Active Vehicle Suspensions, Readman, M., Corless, M., Villegas, C. and Shorten, R. Transactions on Measurement and Control, Vol. 32(6), 660-676, 2010 (Published online March 2010).