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Publications about 'Optimal control'


H. Mohammadi.
Robustness of gradient methods for datadriven decision making.
PhD thesis,
University of Southern California,
2022.
Keyword(s): Accelerated firstorder algorithms,
Control for optimization,
Convergence rate,
Convex optimization,
Datadriven control,
Gradient descent,
Gradientflow dynamics,
Heavyball method,
Integral quadratic constraints,
Linear quadratic regulator,
Modelfree control,
Nesterov's accelerated method,
Nonconvex optimization,
Nonnormal dynamics,
Noise amplification,
Optimization,
Optimal control,
PolyakLojasiewicz inequality,
Random search method,
Reinforcement learning,
Sample complexity,
Secondorder moments,
Transient growth.
[bibtexentry]

S. HassanMoghaddam.
Analysis, design, and optimization of largescale networks of dynamical systems.
PhD thesis,
University of Southern California,
2019.
Keyword(s): Consensus,
Control for optimization,
Convex Optimization,
Distributed control,
Forwardbackward envelope,
DouglasRachford splitting,
Global exponential stability,
Integral quadratic constraints,
Networks of dynamical systems,
Nonsmooth optimization,
PolyakLojasiewicz inequality,
Proximal algorithms,
Primaldual methods,
Proximal augmented Lagrangian,
Regularization for design,
Sparse graphs,
Sparsitypromoting optimal control,
Structured optimal control,
Structure identification,
Topology design.
[bibtexentry]

N. K. Dhingra.
Optimization and control of largescale networked systems.
PhD thesis,
University of Minnesota,
2017.
Keyword(s): Augmented Lagrangian,
Combination drug therapy,
Convex optimization,
Directed networks,
Leader selection,
Method of multipliers,
Nonsmooth optimization,
Optimization,
Proximal algorithms,
Proximal augmented Lagrangian,
Regularization,
Second order primaldual method,
Sparsitypromoting optimal control,
Structured optimal control,
Structure identification.
[bibtexentry]

X. Wu.
Sparsitypromoting optimal control of power networks.
PhD thesis,
University of Minnesota,
2016.
Keyword(s): Alternating direction method of multipliers,
Distributed PIcontrol,
Performance of largescale networks,
Power networks,
Sparsitypromoting optimal control,
Synchronization,
Topology design,
Widearea control.
[bibtexentry]

F. Lin.
Structure identification and optimal design of largescale networks of dynamical systems.
PhD thesis,
University of Minnesota,
2012.
Keyword(s): Alternating direction method of multipliers,
Architectural issues in distributed control design,
Consensus networks,
Control of vehicular formations,
Convex Optimization,
Leader selection,
Sparsitypromoting optimal control.
[bibtexentry]

L. Ballotta,
J. Arbelaiz,
V. Gupta,
L. Schenato,
and M. R. Jovanovic.
The role of communication delays in the optimal control of spatially invariant systems.
IEEE Trans. Automat. Control,
2024.
Note: Submitted.
Keyword(s): Communication delays,
Controller architecture,
Distributed control,
Fundamental limitations,
Partial differential equations,
Performance bounds,
Spatiallyinvariant systems,
Systems with delay.
[bibtexentry]

W. Wu,
J. Chen,
M. R. Jovanovic,
and T. T. Georgiou.
Tannenbaum's gainmargin optimization meets Polyak's heavyball algorithm.
IEEE Trans. Automat. Control,
2024.
Note: Submitted; also arXiv:2409.19882.
Keyword(s): Accelerated firstorder algorithms,
Control for optimization,
Convergence rate,
Convex optimization,
Gradient descent,
Fundamental limitations,
Heavyball method,
Integral quadratic constraints,
Nesterov's accelerated method,
NevanlinnaPick interpolation,
Optimization,
Optimal control,
Robust control.
[bibtexentry]

I. K. Ozaslan,
H. Mohammadi,
and M. R. Jovanovic.
Computing stabilizing feedback gains via a modelfree policy gradient method.
IEEE Control Syst. Lett.,
7:407412,
July 2023.
Keyword(s): Datadriven control,
Gradient descent,
Linear quadratic regulator,
Modelfree control,
Nonconvex optimization,
Optimization,
Optimal control,
Random search method,
Reinforcement learning,
Sample complexity.
[bibtexentry]

N. K. Dhingra,
S. Z. Khong,
and M. R. Jovanovic.
A second order primaldual method for nonsmooth convex composite optimization.
IEEE Trans. Automat. Control,
67(8):40614076,
August 2022.
Keyword(s): Augmented Lagrangian,
Exponential convergence,
Global exponential stability,
Method of multipliers,
Nonsmooth optimization,
Proximal algorithms,
Proximal augmented Lagrangian,
Regularization for design,
Second order primaldual method,
Sparsitypromoting optimal control,
Structured optimal control,
Structure identification.
[bibtexentry]

H. Mohammadi,
A. Zare,
M. Soltanolkotabi,
and M. R. Jovanovic.
Convergence and sample complexity of gradient methods for the modelfree linearquadratic regulator problem.
IEEE Trans. Automat. Control,
67(5):24352450,
May 2022.
Keyword(s): Datadriven control,
Gradient descent,
Gradientflow dynamics,
Linear quadratic regulator,
Modelfree control,
Nonconvex optimization,
Optimization,
Optimal control,
PolyakLojasiewicz inequality,
Random search method,
Reinforcement learning,
Sample complexity.
[bibtexentry]

H. Mohammadi,
M. Soltanolkotabi,
and M. R. Jovanovic.
On the linear convergence of random search for discretetime LQR.
IEEE Control Syst. Lett.,
5(3):989994,
July 2021.
Keyword(s): Datadriven control,
Gradient descent,
Linear quadratic regulator,
Modelfree control,
Nonconvex optimization,
Optimization,
Optimal control,
Random search method,
Reinforcement learning,
Sample complexity.
[bibtexentry]

A. Zare,
H. Mohammadi,
N. K. Dhingra,
T. T. Georgiou,
and M. R. Jovanovic.
Proximal algorithms for largescale statistical modeling and sensor/actuator selection.
IEEE Trans. Automat. Control,
65(8):34413456,
August 2020.
Keyword(s): Actuator selection,
Augmented Lagrangian,
Convex optimization,
Lowrank perturbation,
Matrix completion problem,
Method of multipliers,
Nonsmooth optimization,
Proximal algorithms,
Regularization for design,
Sensor selection,
Sparsitypromoting optimal control,
Structured covariances.
[bibtexentry]

N. K. Dhingra,
M. Colombino,
and M. R. Jovanovic.
Structured decentralized control of positive systems with applications to combination drug therapy and leader selection in directed networks.
IEEE Trans. Control Netw. Syst.,
6(1):352362,
March 2019.
Keyword(s): Combination drug therapy,
Convex optimization,
Directed Networks,
Leader selection,
Positive systems,
Proximal algorithms,
Optimization,
Sparsitypromoting optimal control,
Structured design.
[bibtexentry]

N. K. Dhingra,
S. Z. Khong,
and M. R. Jovanovic.
The proximal augmented Lagrangian method for nonsmooth composite optimization.
IEEE Trans. Automat. Control,
64(7):28612868,
July 2019.
Keyword(s): Augmented Lagrangian,
Control for optimization,
Exponential convergence,
Global exponential stability,
Method of multipliers,
Nonsmooth optimization,
Primaldual gradient flow dynamics,
Proximal algorithms,
Proximal augmented Lagrangian,
Regularization for design,
Sparsitypromoting optimal control,
Structured optimal control,
Structure identification.
[bibtexentry]

X. Wu and M. R. Jovanovic.
Sparsitypromoting optimal control of systems with symmetries, consensus and synchronization networks.
Syst. Control Lett.,
103:18,
May 2017.
Keyword(s): Alternating direction method of multipliers,
Consensus and synchronization networks,
Distributed systems,
Regularization,
Sparsitypromoting optimal control,
Spatiallyinvariant systems.
[bibtexentry]

M. R. Jovanovic and N. K. Dhingra.
Controller architectures: tradeoffs between performance and structure.
Eur. J. Control,
30:7691,
July 2016.
Keyword(s): Controller architecture,
Convex optimization,
Distributed control,
Networks of dynamical systems,
Nonsmooth optimization,
Performance vs. complexity,
Regularization,
Sparsitypromoting optimal control,
Structured optimal control,
Structure identification.
[bibtexentry]

X. Wu,
F. Dorfler,
and M. R. Jovanovic.
Inputoutput analysis and decentralized optimal control of interarea oscillations in power systems.
IEEE Trans. Power Syst.,
31(3):24342444,
May 2016.
Keyword(s): Alternating direction method of multipliers,
Performance of largescale networks,
Power networks,
Sparsitypromoting optimal control,
Synchronization,
Widearea control.
[bibtexentry]

F. Dorfler,
M. R. Jovanovic,
M. Chertkov,
and F. Bullo.
Sparsitypromoting optimal widearea control of power networks.
IEEE Trans. Power Syst.,
29(5):22812291,
September 2014.
Keyword(s): Alternating direction method of multipliers,
Power networks,
Sparsitypromoting optimal control,
Widearea control.
[bibtexentry]

F. Lin,
M. Fardad,
and M. R. Jovanovic.
Design of optimal sparse feedback gains via the alternating direction method of multipliers.
IEEE Trans. Automat. Control,
58(9):24262431,
September 2013.
Keyword(s): Alternating direction method of multipliers,
Architectural issues in distributed control design,
Cardinality minimization,
Distributed control,
Optimization,
Sparsitypromoting optimal control.
[bibtexentry]

F. Lin,
M. Fardad,
and M. R. Jovanovic.
Optimal control of vehicular formations with nearest neighbor interactions.
IEEE Trans. Automat. Control,
57(9):22032218,
September 2012.
Keyword(s): Architectural issues in distributed control design,
Distributed control,
Optimal localized control,
Control of vehicular formations,
Largescale networks,
Fundamental limitations.
[bibtexentry]

M. Fardad and M. R. Jovanovic.
Design of optimal controllers for spatially invariant systems with finite communication speed.
Automatica,
47(5):880889,
May 2011.
Keyword(s): Architectural issues in distributed control design,
Distributed control,
Optimal localized control,
Spatiallyinvariant systems.
[bibtexentry]

W. Wu,
J. Chen,
M. R. Jovanovic,
and T. T. Georgiou.
Frequencydomain synthesis of implicit algorithms.
In Proceedings of the 2025 American Control Conference,
Denver, CO,
2025.
Note: Submitted.
Keyword(s): Accelerated firstorder algorithms,
Control for optimization,
Convergence rate,
Convex optimization,
Gradient descent,
Heavyball method,
Integral quadratic constraints,
Nesterov's accelerated method,
Optimization,
Optimal control.
[bibtexentry]

H. Mohammadi,
M. Soltanolkotabi,
and M. R. Jovanovic.
On the lack of gradient domination for linear quadratic Gaussian problems with incomplete state information.
In Proceedings of the 60th IEEE Conference on Decision and Control,
Austin, TX,
pages 11201124,
2021.
Keyword(s): Datadriven control,
Gradient descent,
Gradientflow dynamics,
Modelfree control,
Nonconvex optimization,
Optimization,
Optimal control,
PolyakLojasiewicz inequality,
Random search method,
Reinforcement learning,
Sample complexity.
[bibtexentry]

H. Mohammadi,
M. Soltanolkotabi,
and M. R. Jovanovic.
Learning the modelfree linear quadratic regulator via random search.
In Proceedings of Machine Learning Research, 2nd Annual Conference on Learning for Dynamics and Control,
volume 120,
Berkeley, CA,
pages 19,
2020.
Keyword(s): Datadriven control,
Gradient descent,
Gradientflow dynamics,
Linear quadratic regulator,
Modelfree control,
Nonconvex optimization,
Optimization,
Optimal control,
PolyakLojasiewicz inequality,
Random search method,
Reinforcement learning,
Sample complexity.
[bibtexentry]

H. Mohammadi,
M. Soltanolkotabi,
and M. R. Jovanovic.
Random search for learning the linear quadratic regulator.
In Proceedings of the 2020 American Control Conference,
Denver, CO,
pages 47984803,
2020.
Keyword(s): Datadriven control,
Gradient descent,
Gradientflow dynamics,
Linear quadratic regulator,
Modelfree control,
Nonconvex optimization,
Optimization,
Optimal control,
PolyakLojasiewicz inequality,
Random search method,
Reinforcement learning,
Sample complexity.
[bibtexentry]

S. HassanMoghaddam,
M. R. Jovanovic,
and S. Meyn.
Datadriven proximal algorithms for the design of structured optimal feedback gains.
In Proceedings of the 2019 American Control Conference,
Philadelphia, PA,
pages 58465850,
2019.
Keyword(s): Datadriven feedback design,
Largescale systems,
Nonsmooth optimization,
Proximal algorithms,
Reinforcement learning,
Sparsitypromoting optimal control,
Structured optimal control.
[bibtexentry]

H. Mohammadi,
A. Zare,
M. Soltanolkotabi,
and M. R. Jovanovic.
Global exponential convergence of gradient methods over the nonconvex landscape of the linear quadratic regulator.
In Proceedings of the 58th IEEE Conference on Decision and Control,
Nice, France,
pages 74747479,
2019.
Keyword(s): Datadriven control,
Global exponential stability,
Gradient descent,
Gradientflow dynamics,
Modelfree control,
Nonconvex optimization,
Optimization,
Optimal control,
Reinforcement learning.
[bibtexentry]

N. K. Dhingra,
S. Z. Khong,
and M. R. Jovanovic.
A second order primaldual algorithm for nonsmooth convex composite optimization.
In Proceedings of the 56th IEEE Conference on Decision and Control,
Melbourne, Australia,
pages 28682873,
2017.
Keyword(s): Augmented Lagrangian,
Method of multipliers,
Nonsmooth optimization,
Proximal methods,
Regularization,
Sparsitypromoting optimal control,
Structured optimal control,
Structure identification.
[bibtexentry]

S. HassanMoghaddam and M. R. Jovanovic.
Distributed design of optimal structured feedback gains.
In Proceedings of the 56th IEEE Conference on Decision and Control,
Melbourne, Australia,
pages 65866591,
2017.
Keyword(s): Alternating direction method of multipliers,
Consensus,
Distributed control,
Optimization,
Sparsitypromoting optimal control,
Structured optimal control.
[bibtexentry]

S. HassanMoghaddam,
X. Wu,
and M. R. Jovanovic.
Edge addition in directed consensus networks.
In Proceedings of the 2017 American Control Conference,
Seattle, WA,
pages 55925597,
2017.
Keyword(s): Alternating direction method of multipliers,
Consensus,
Directed networks,
Nonconvex optimization,
Sparsitypromoting optimal control.
[bibtexentry]

A. Zare,
N. K. Dhingra,
M. R. Jovanovic,
and T. T. Georgiou.
Structured covariance completion via proximal algorithms.
In Proceedings of the 56th IEEE Conference on Decision and Control,
Melbourne, Australia,
pages 37753780,
2017.
Keyword(s): Augmented Lagrangian,
Convex optimization,
Lowrank perturbation,
Matrix completion problem,
Method of multipliers,
Nonsmooth optimization,
Proximal methods,
Regularization,
Sparsitypromoting optimal control,
Structured covariances.
[bibtexentry]

M. Colombino,
N. K. Dhingra,
M. R. Jovanovic,
A. Rantzer,
and R. S. Smith.
On the optimal control problem for a class of monotone bilinear systems.
In Proceedings of the 22nd International Symposium on Mathematical Theory of Network and Systems,
Minneapolis, MN,
pages 411413,
2016.
Note: (Invited paper).
Keyword(s): Convex optimization,
Networks,
Monotone systems,
Positive systems,
Proximal algorithms,
Optimization,
Sparsitypromoting optimal control,
Structured design.
[bibtexentry]

M. Colombino,
N.K. Dhingra,
M. R. Jovanovic,
and R. S. Smith.
Convex reformulation of a robust optimal control problem for a class of positive systems.
In Proceedings of the 55th IEEE Conference on Decision and Control,
Las Vegas, NV,
pages 52635268,
2016.
Note: (Invited paper).
Keyword(s): Combination drug therapy,
Convex optimization,
Networks,
Positive systems,
Proximal algorithms,
Optimization,
Sparsitypromoting optimal control,
Structured design,
Robust Control.
[bibtexentry]

N. K. Dhingra,
M. Colombino,
and M. R. Jovanovic.
On the convexity of a class of structured optimal control problems for positive systems.
In Proceedings of the 2016 European Control Conference,
Aalborg, Denmark,
pages 825830,
2016.
Keyword(s): Combination drug therapy,
Convex optimization,
Leader selection,
Networks,
Positive systems,
Proximal algorithms,
Optimization,
Sparsitypromoting optimal control,
Structured design.
[bibtexentry]

N. K. Dhingra and M. R. Jovanovic.
A method of multipliers algorithm for sparsitypromoting optimal control.
In Proceedings of the 2016 American Control Conference,
Boston, MA,
pages 19421947,
2016.
Note: (Invited paper).
Keyword(s): Augmented Lagrangian,
Method of multipliers,
Proximal algorithms,
Optimization,
Sparsitypromoting optimal control.
[bibtexentry]

N. K. Dhingra,
X. Wu,
and M. R. Jovanovic.
Sparsitypromoting optimal control of systems with invariances and symmetries.
In Proceedings of the 10th IFAC Symposium on Nonlinear Control Systems,
Monterey, CA,
pages 648653,
2016.
Keyword(s): Architectural issues in distributed control design,
Cardinality minimization,
Convex optimization,
Distributed control,
Sparsitypromoting optimal control,
Spatiallyinvariant systems,
Symmetric systems.
[bibtexentry]

X. Wu,
F. Dorfler,
and M. R. Jovanovic.
Topology identification and design of distributed integral action in power networks.
In Proceedings of the 2016 American Control Conference,
Boston, MA,
pages 59215926,
2016.
Keyword(s): Alternating direction method of multipliers,
Distributed PIcontrol,
Power systems,
Sparsitypromoting optimal control,
Topology identification.
[bibtexentry]

A. Zare,
M. R. Jovanovic,
and T. T. Georgiou.
Perturbation of system dynamics and the covariance completion problem.
In Proceedings of the 55th IEEE Conference on Decision and Control,
Las Vegas, NV,
pages 70367041,
2016.
Keyword(s): Convex optimization,
Lowrank perturbation,
Matrix completion problems,
Sparsitypromoting optimal control,
Structured covariances.
[bibtexentry]

V. Purba,
X. Wu,
M. Sinha,
S. V. Dhople,
and M. R. Jovanovic.
Design of optimal coupling gains for synchronization of nonlinear oscillators.
In Proceedings of the 54th IEEE Conference on Decision and Control,
Osaka, Japan,
pages 13101315,
2015.
Keyword(s): Alternating direction method of multipliers,
Power systems,
Sparsitypromoting optimal control,
Synchronization,
Weakly nonlinear oscillators.
[bibtexentry]

X. Wu,
F. Dorfler,
and M. R. Jovanovic.
Decentralized optimal control of interarea oscillations in bulk power systems.
In Proceedings of the 54th IEEE Conference on Decision and Control,
Osaka, Japan,
pages 55325537,
2015.
Keyword(s): Decentralized control,
Inputoutput analysis,
Interarea oscillations,
Power systems,
Sparsitypromoting optimal control,
Synchronization,
Widearea control.
[bibtexentry]

M. Fardad and M. R. Jovanovic.
On the design of optimal structured and sparse feedback gains using semidefinite programming.
In Proceedings of the 2014 American Control Conference,
Portland, OR,
pages 24382443,
2014.
Keyword(s): Architectural issues in distributed control design,
Cardinality minimization,
Convex optimization,
Distributed control,
Sparsitypromoting optimal control.
[bibtexentry]

X. Wu,
F. Dorfler,
and M. R. Jovanovic.
Analysis and design tradeoffs for power network interarea oscillations.
In Proceedings of the 21st International Symposium on Mathematical Theory of Network and Systems,
Groningen, The Netherlands,
pages 657663,
2014.
Note: (Invited paper).
Keyword(s): Performance of largescale networks,
Power networks,
Sparsitypromoting optimal control,
Widearea control.
[bibtexentry]

X. Wu and M. R. Jovanovic.
Sparsitypromoting optimal control of consensus and synchronization networks.
In Proceedings of the 2014 American Control Conference,
Portland, OR,
pages 29482953,
2014.
Keyword(s): Consensus,
Distributed control,
Oscillator networks,
Sparse graphs,
Synchronization.
[bibtexentry]

D. M. Zoltowski,
N. K. Dhingra,
F. Lin,
and M. R. Jovanovic.
Sparsitypromoting optimal control of spatiallyinvariant systems.
In Proceedings of the 2014 American Control Conference,
Portland, OR,
pages 12611266,
2014.
Keyword(s): Architectural issues in distributed control design,
Cardinality minimization,
Convex optimization,
Distributed control,
Sparsitypromoting optimal control,
Spatiallyinvariant systems.
[bibtexentry]

F. Dorfler,
M. R. Jovanovic,
M. Chertkov,
and F. Bullo.
Sparse and optimal widearea damping control in power networks.
In Proceedings of the 2013 American Control Conference,
Washington, DC,
pages 42954300,
2013.
Keyword(s): Alternating direction method of multipliers,
Power networks,
Sparsitypromoting optimal control,
Widearea control.
[bibtexentry]

M. R. Jovanovic and F. Lin.
Sparse quadratic regulator.
In Proceedings of the 12th European Control Conference,
Zurich, Switzerland,
pages 10471052,
2013.
Keyword(s): Alternating direction method of multipliers,
Cardinality minimization,
Distributed control,
Optimization,
Sparsitypromoting optimal control.
[bibtexentry]

F. Lin,
M. Fardad,
and M. R. Jovanovic.
Sparse feedback synthesis via the alternating direction method of multipliers.
In Proceedings of the 2012 American Control Conference,
Montreal, Canada,
pages 47654770,
2012.
Keyword(s): Architectural issues in distributed control design,
Distributed control,
Optimal localized control,
Sparsitypromoting optimal control.
[bibtexentry]

M. Fardad,
F. Lin,
and M. R. Jovanovic.
Sparsitypromoting optimal control for a class of distributed systems.
In Proceedings of the 2011 American Control Conference,
San Francisco, CA,
pages 20502055,
2011.
Keyword(s): Architectural issues in distributed control design,
Distributed control,
Optimal localized control,
Sparsitypromoting optimal control.
[bibtexentry]

R. Moarref,
B. K. Lieu,
and M. R. Jovanovic.
Spatiallylocalized optimal control of transition to turbulence.
In Proceedings of the 2011 American Control Conference,
San Francisco, CA,
pages 35773582,
2011.
Keyword(s): Flow modeling and control,
NavierStokes equations,
Inputoutput analysis,
Energy amplification,
Transition to turbulence.
[bibtexentry]

M. Fardad,
F. Lin,
and M. R. Jovanovic.
On the dual decomposition of linear quadratic optimal control problems for vehicular formations.
In Proceedings of the 49th IEEE Conference on Decision and Control,
Atlanta, GA,
pages 62876292,
2010.
[bibtexentry]

M. Fardad and M. R. Jovanovic.
On the statespace design of optimal controllers for distributed systems with finite communication speed.
In Proceedings of the 47th IEEE Conference on Decision and Control,
Cancun, Mexico,
pages 54885493,
2008.
Keyword(s): Architectural issues in distributed control design,
Distributed control,
Localized control.
[bibtexentry]

H. Mohammadi,
M. Soltanolkotabi,
and M. R. Jovanovic.
Modelfree linear quadratic regulator.
In K. G. Vamvoudakis,
Y. Wan,
F. Lewis,
and D. Cansever, editors, Handbook of Reinforcement Learning and Control.
Springer International Publishing,
2021.
Note: Doi:10.1007/9783030609900.
Keyword(s): Datadriven control,
Gradient descent,
Gradientflow dynamics,
Linear quadratic regulator,
Modelfree control,
Nonconvex optimization,
Optimization,
Optimal control,
PolyakLojasiewicz inequality,
Random search method,
Reinforcement learning,
Sample complexity.
[bibtexentry]
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