Preprints

Convex Relaxation for Optimal Distributed Control Problem — Part I: Time-Domain Formulation, Preprint, 2014

Ghazal Fazelnia, Ramtin Madani, Abdulrahman Kalbat and Javad Lavaei

Convex Relaxation for Optimal Distributed Control Problem — Part II: Lyapunov Formulation and Case Studies, Preprint, 2014

Ghazal Fazelnia, Ramtin Madani, Abdulrahman Kalbat and Javad Lavaei

Finding Low-rank Solutions of Sparse Linear Matrix Inequalities using Convex Optimization, Preprint, 2014

Ramtin Madani, Ghazal Fazelnia, Somayeh Sojoudi and Javad Lavaei

Rank-2 Solution for Semidefinite Relaxation of Arbitrary Polynomial Optimization Problems, Preprint, 2014

Ramtin Madani, Ghazal Fazelnia, Somayeh Sojoudi and Javad Lavaei

Convexification of Generalized Network Flow Problem with Application to Power Systems, Preprint, 2013

Somayeh Sojoudi and Javad Lavaei

Network Topologies Guaranteeing Zero Duality Gap for Optimal Power Flow Problem, Preprint, 2012

Somayeh Sojoudi and Javad Lavaei

Journal Papers

Exactness of Semidefinite Relaxations for Nonlinear Optimization Problems with Underlying Graph Structure, To appear in SIAM Journal on Optimization, 2014

Somayeh Sojoudi and Javad Lavaei

Convex Relaxation for Optimal Power Flow Problem: Mesh Networks, To appear in IEEE Transactions on Power Systems, 2014

Ramtin Madani, Somayeh Sojoudi and Javad Lavaei

Dynamic Network Energy Management via Proximal Message Passing, Foundations and Trends in Optimization, vol. 1, no. 2, pp. 1-54, 2014

Matt Kraning, Eric Chu, Javad Lavaei and Stephen Boyd

Geometry of Power Flows and Optimization in Distribution Networks, IEEE Transactions on Power System, vol. 29, no. 2, pp. 572-583, 2014

Javad Lavaei, David Tse and Baosen Zhang

Zero Duality Gap in Optimal Power Flow Problem, IEEE Transactions on Power Systems, vol. 27, no. 1, pp. 92-107, 2012

Javad Lavaei and Steven Low

Quantized Consensus by Means of Gossip Algorithm, IEEE Transactions on Automatic Control, vol. 57, no. 1, pp. 19-32, 2012

Javad Lavaei and Richard M. Murray

Solving Large-Scale Hybrid Circuit-Antenna Problems, IEEE Transactions on Circuits and Systems I, vol. 58, no. 2, pp. 374-387, Feb. 2011

Javad Lavaei, Aydin Babakhani, Ali Hajimiri and John C. Doyle

Decentralized Implementation of Centralized Controllers for Interconnected Systems, IEEE Transactions on Automatic Control, vol. 57, no. 7, pp. 1860-1865, 2012 (a longer version of the paper is available here)

Javad Lavaei

Time Complexity of Decentralized Fixed Mode Verification, IEEE Transactions on Automatic Control, vol. 55, no. 4, pp. 971-976, Apr. 2010

Javad Lavei and Somayeh Sojoudi

Pole Assignment with Improved Control Performance by Means of Periodic Feedback, IEEE Transactions on Automatic Control, vol. 55, no. 1, pp. 248-252, Jan. 2010

Javad Lavaei, Somayeh Sojoudi and Amir G. Aghdam

Performance Improvement of Robust Controllers for Polynomially Uncertain Systems, Automatica, vol. 46, no. 1, pp. 110-115, Jan. 2010

Javad Lavaei and Amir G. Aghdam

Robust Controllability and Observability Degrees of Polynomially Uncertain Systems, Automatica, vol. 45, no. 11, pp. 2640-2645, Nov. 2009

Somayeh Sojoudi, Javad Lavaei and Amir G. Aghdam

Overlapping control design for multi-channel systems, Automatica, vol. 45, no. 5, pp. 1326-1331, May 2009

Javad Lavaei and Amir G. Aghdam

LQ Suboptimal Decentralized Controllers with Disturbance Rejection Property for Hierarchical Systems, International Journal of Control, vol. 81, no. 11, pp. 1720-1732, Nov. 2008

Javad Lavaei, Ahmadreza Momeni and Amir Aghdam

Stabilization of decentralized control systems by means of periodic feedback, Automatica, vol. 44, no. 4, pp. 1120-1126, Apr. 2008

Javad Lavaei and Amir G. Aghdam

Robust Stability of LTI Systems over Semi-Algebraic Sets using Sum-of-Squares Matrix Polynomials, IEEE Transactions on Automatic Control, vol. 53, no. 1, pp. 417-423, Feb. 2008

Javad Lavaei and Amir G. Aghdam

A Model Predictive Decentralized Control Scheme With Reduced Communication Requirement for Spacecraft Formation, IEEE Transactions on Control System Technology, vol. 16, no. 2, pp. 268-278, Feb. 2008

Javad Lavaei, Ahmadreza Momeni and Amir Aghdam

Control of Continuous-Time LTI Systems by Means of Structurally Constrained Controllers, Automatica, vol. 44, no. 1, Jan. 2008

Javad Lavaei and Amir Aghdam

A Graph Theoretic Method to Find Decentralized Fixed Modes of LTI Systems, Automatica, vol. 43, no. 12, pp. 2129-2133, Dec. 2007

Javad Lavaei and Amir Aghdam

Robust Stabilizability Verification of Polynomially Uncertain LTI Systems, IEEE Transactions on Automatic Control, vol. 52, no. 9, pp. 1721-1726, Sep. 2007

Somayeh Sojoudi, Javad Lavaei and Amir G. Aghdam

High-Performance Decentralized Control Design for General Interconnected Systems with Applications in Cooperative Control, International Journal of Control, vol. 80, no. 6, pp. 935-951, Jun. 2007

Javad Lavaei and Amir Aghdam

Simultaneous LQ Control of a Set of LTI Systems using Constrained Generalized Sampled-Data Hold Functions, Automatica, vol. 43, no. 2, pp. 274-280, Feb. 2007

Javad Lavaei and Amir Aghdam

Optimal Periodic Feedback Design for Continuous-Time LTI Systems with Constrained Control Structure, International Journal of Control, vol. 80, no. 2, pp. 220-230, Feb. 2007

Javad Lavaei and Amir Aghdam

Conference Papers

Graph-Theoretic Algorithms for Solving Polynomial Optimization Problems, to appear in IEEE Conference on Decision and Control 2014 (Tutorial paper)

Somayeh Sojoudi, Ramtin Madani, Ghazal Fazelnia and Javad Lavaei

Low-Rank Solutions of Matrix Inequalities With Applications to Polynomial Optimization and Matrix Completion Problems, to appear in IEEE Conference on Decision and Control 2014

Ramtin Madani, Ghazal Fazelnia, Somayeh Sojoudi and Javad Lavaei

Convex Relaxation for Optimal Distributed Control Problem, to appear in IEEE Conference on Decision and Control 2014

Ghazal Fazelnia, Ramtin Madani and Javad Lavaei

Optimal Decentralized Control Problem as A Rank-Constrained Optimization, Allerton 2013

Javad Lavaei

On the Exactness of Semidefinite Relaxation for Nonlinear Optimization over Graphs: Part I, IEEE Conference on Decision and Control 2013

Somayeh Sojoudi and Javad Lavaei

On the Exactness of Semidefinite Relaxation for Nonlinear Optimization over Graphs: Part II, IEEE Conference on Decision and Control 2013

Somayeh Sojoudi and Javad Lavaei

Convexification of Generalized Network Flow Problem with Application to Power Systems, IEEE Conference on Decision and Control 2013 (invited paper)

Somayeh Sojoudi and Javad Lavaei

Study of Nonlinear Power Optimization Problems using Algebraic Graph Theory, CAMSAP, 2013

Somayeh Sojoudi and Javad Lavaei

Convex Relaxation for Optimal Power Flow Problem: Mesh Networks, Asilomar 2013 (invited paper)

Ramtin Madani, Somayeh Sojoudi and Javad Lavaei

Convexification of Optimal Power Flow Problem by Means of Phase Shifters, IEEE SmartGridComm 2013

Somayeh Sojoudi and Javad Lavaei

Low-Rank Solution of Convex Relaxation for Optimal Power Flow Problem, IEEE SmartGridComm 2013

Somayeh Sojoudi, Ramtin Madani and Javad Lavaei

Geometry of Power Flows in Tree Networks, IEEE Power & Energy Society General Meeting, 2012

Javad Lavaei, David Tse and Baosen Zhang

Physics of Power Networks Makes Hard Optimization Problems Easy To Solve, IEEE Power & Energy Society General Meeting, 2012

Somayeh Sojoudi and Javad Lavaei

Competitive Equilibria in Electricity Markets with Nonlinearities, American Control Conference, 2012

Javad Lavaei and Somayeh Sojoudi

Power Flow Optimization Using Positive Programming, 18th IFAC World Congress, 2011

Javad Lavaei, Anders Rantzer and Steven Low

Zero Duality Gap for Classical OPF Problem Convexifies Fundamental Nonlinear Power Problems, American Control Conference, San Francisco, California, 2011

Javad Lavaei

Fault-Tolerant Controller Design with Applications in Power Systems and Synthetic Biology, American Control Conference, San Francisco, California, 2011

Somayeh Sojoudi, Javad Lavaei and Richard M. Murray

Convexification of Optimal Power Flow Problem, Forty-Eighth Annual Allerton Conference, 2010 (invited paper)

Javad Lavaei and Steven Low

Relationship Between Power Loss and Network Topology in Power Systems, Proc. 49th IEEE Conference on Decision and Control, Atlanta, Georgia, 2010

Javad Lavaei and Steven Low

Synthesis of Embedded Control Systems with High Sampling Frequencies, Proc. 49th IEEE Conference on Decision and Control, Atlanta, Georgia, 2010

Javad Lavaei, Somayeh Sojoudi and Richard M. Murray

Passively Controllable Smart Antennas, IEEE Global Communications Conference (GLOBECOM), Miami, Florida, 2010

Javad Lavaei, Aydin Babakhani, Ali Hajimiri and John C. Doyle

Finding Globally Optimum Solutions in Antenna Optimization Problems, IEEE International Symposium on Antennas and Propagation, Toronto, Canada, 2010

Aydin Babakhani, Javad Lavaei, John C. Doyle and Ali Hajimiri

Programmable Antenna Design Using Convex Optimization, 19th International Symposium on Mathematical Theory of Networks and Systems, Budapest, Hungary, 2010 (invited paper)

Javad Lavaei, Aydin Babakhani, Ali Hajimiri and John C. Doyle

A Study of Near-Field Direct Antenna Modulation Systems Using Convex Optimization, American Control Conference, Baltimore, 2010

Javad Lavaei, Aydin Babakhani, Ali Hajimiri and John C. Doyle

Simple Delay-Based Implementation of Continuous-Time Controllers, American Control Conference, Baltimore, 2010

Javad Lavaei, Somayeh Sojoudi and Richard M. Murray

Utility Functionals Associated With Available Congestion Control Algorithms, IEEE International Conference on Computer Communications (INFOCOM), San Diego, California, 2010

Javad Lavaei, John C. Doyle and Steven Low

A New Decentralization Technique for Interconnected Systems, Proc. 48th IEEE Conference on Decision and Control, Shanghai, China, 2009

Javad Lavaei

Quantized Consensus via Adaptive Stochastic Gossip Algorithm, Proc. 48th IEEE Conference on Decision and Control, Shanghai, China, 2009

Javad Lavaei and Richard M. Murray

Congestion Control Algorithms from Optimal Control Perspective, Proc. 48th IEEE Conference on Decision and Control, Shanghai, China, 2009

Javad Lavaei, John C. Doyle and Steven Low

Solving Large-Scale Linear Circuit Problems via Convex Optimization, Proc. 48th IEEE Conference on Decision and Control, Shanghai, China, 2009

Javad Lavaei, Aydin Babakhani, Ali Hajimiri and John C. Doyle

Controllability and Observability of Uncertain Systems: A Robust Measure, Proc. 48th IEEE Conference on Decision and Control, Shanghai, China, 2009

Somayeh Sojoudi, Javad Lavaei and Amir G. Aghdam

On Quantized Consensus by Means of Gossip Algorithm–Part I: Convergence Proof, American Control Conference, St. Louis, MO, 2009

Javad Lavaei and Richard M. Murray

On Quantized Consensus by Means of Gossip Algorithm–Part II: Convergence Time, American Control Conference, St. Louis, MO, 2009

Javad Lavaei and Richard M. Murray

Complexity of Checking the Existence of a Stabilizing Decentralized Controller, American Control Conference, St. Louis, MO, 2009

Javad Lavaei and Somayeh Sojoudi

LQ Robust Controllers for Polynomially Uncertain Systems, Proc. 47th IEEE Conference on Decision and Control, Cancun, Mexico, 2008

Javad Lavaei and Amir Aghdam

Decentralized Pole Assignment for Interconnected Systems, Proc. 2008 American Control Conference, Seattle, WA, 2008

Javad Lavaei and Amir Aghdam

Rational Optimization using Sum-of-Squares Techniques, Proc. 46th IEEE Conference on Decision and Control, New Orleans, LA, 2007

Javad Lavaei, Somayeh Sojoudi and Amir Aghdam

Pole Assignment with Improved Control Performance by Means of Periodic Feedback, Proc. 46th IEEE Conference on Decision and Control, New Orleans, LA, 2007

Javad Lavaei, Somayeh Sojoudi and Amir Aghdam

Near-Optimal Decentralized Servomechanism Controller for Hierarchical Interconnected Systems, Proc. 46th IEEE Conference on Decision and Control, New Orleans, LA, 2007

Javad Lavaei, Ahmadreza Momeni and Amir Aghdam

Characterization of Decentralized and Quotient Fixed Modes Via Graph Theory, Proc. 2007 American Control Conference, New York, NY, 2007

Javad Lavaei and Amir Aghdam

On Structurally Constrained Control Design with a Prespecified Form, Proc. 2007 American Control Conference, New York, NY, 2007

Javad Lavaei and Amir Aghdam

Stability Criterion for General Proper Systems with Constrained Control Structure, Proc. 2007 American Control Conference, New York, NY, 2007

Javad Lavaei, Somayeh Sojoudi and Amir Aghdam

A Cooperative Model Predictive Control Technique for Spacecraft Formation Flying, Proc. 2007 American Control Conference, New York, NY, 2007

Javad Lavaei, Ahmadreza Momeni and Amir Aghdam

Optimal Information Flow Structure for Control of Interconnected Systems, Proc. 2007 American Control Conference, New York, NY, 2007

Somayeh Sojoudi, Javad Lavaei and Amir Aghdam

Robust Stability of LTI Discrete-Time Systems using Sum-of-Squares Matrix Polynomials, Proc. 2006 American Control Conference, Minneapolis, MN, 2006

Javad Lavaei and Amir Aghdam

High-Performance Simultaneous Stabilizing Periodic Feedback Control with a Constrained Structure, Proc. 2006 American Control Conference, Minneapolis, MN, 2006

Javad Lavaei and Amir Aghdam

Optimal Generalized Sampled-Data Hold Functions with a Constrained Structure, Proc. 2006 American Control Conference , Minneapolis , MN, 2006

Javad Lavaei and Amir Aghdam

Decentralized Control Design for Interconnected Systems Based on A Centralized Reference Controller, Proc. 45th IEEE Conference on Decision and Control, San Diego, CA, 2006

Javad Lavaei and Amir Aghdam

Elimination of Fixed Modes by Means of High-Performance Constrained Periodic Control, Proc. 45th IEEE Conference on Decision and Control, San Diego, CA, 2006

Javad Lavaei and Amir Aghdam

A Necessary and Sufficient Condition for Robust Stability of LTI Discrete-Time Systems Using Sum-of-Squares Matrix Polynomials, Proc. 45th IEEE Conference on Decision and Control, San Diego, CA, 2006

Javad Lavaei and Amir Aghdam

A Necessary and Sufficient Condition for the Existence of a LTI Stabilizing Decentralized Overlapping Controller, Proc. 45th IEEE Conference on Decision and Control, San Diego, CA, 2006

Javad Lavaei and Amir Aghdam

High-Performance Decentralized Control for Formation Flying with Leader-Follower Structure, Proc. 45th IEEE Conference on Decision and Control, San Diego, CA, 2006

Javad Lavaei, Ahmadreza Momeni and Amir Aghdam