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Optimization algorithms on matrix manifolds

1, 2008

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Analysis and design of nonlinear resonances via singularity theory

Journal of sound and vibration, 2017-03, Vol.392, p.295-306

2017

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Low-Rank Optimization with Trace Norm Penalty

SIAM journal on optimization, 2013-01, Vol.23 (4), p.2124-2149

2013

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Low-Rank Optimization on the Cone of Positive Semidefinite Matrices

SIAM journal on optimization, 2010-01, Vol.20 (5), p.2327-2351

2010

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Control Across Scales by Positive and Negative Feedback

Annual review of control, robotics, and autonomous systems, 2019-05, Vol.2 (1), p.89-113

2019

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Consensus on nonlinear spaces

Annual reviews in control, 2011-04, Vol.35 (1), p.56-64

Sepulchre, R.

2011

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Riemannian Geometry of Grassmann Manifolds with a View on Algorithmic Computation

Acta applicandae mathematicae, 2004-01, Vol.80 (2), p.199-220

2004

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Contraction of monotone phase-coupled oscillators

Systems & control letters, 2012-11, Vol.61 (11), p.1097-1102

2012

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Scanning the issue

IEEE transactions on automatic control, 2016-09, Vol.61 (9), p.2325-2326

2016

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Scanning the issue

IEEE transactions on automatic control, 2016-09, Vol.61 (9), p.2325-2326

2016

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A spectral characterization of nonlinear normal modes

Journal of sound and vibration, 2016-09, Vol.377, p.284-301

2016

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A Grassmann-Rayleigh Quotient Iteration for Computing Invariant Subspaces

SIAM review, 2002-03, Vol.44 (1), p.57-73

2002

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Cubically convergent iterations for invariant subspace computation

SIAM journal on matrix analysis and applications, 2004-01, Vol.26 (1), p.70-96

2004

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Nonlinear analysis of cardiac rhythm fluctuations using DFA method

Physica A, 1999-10, Vol.272 (1), p.235-244

1999

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Differential positivity with respect to cones of rank k ≥ 2

IFAC-PapersOnLine, 2017, Vol.50 (1), p.7439-7444

2017

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On differentially dissipative dynamical systems

IFAC Proceedings Volumes, 2013, Vol.46 (23), p.15-20

2013

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Differential analysis of nonlinear systems: Revisiting the pendulum example

53rd IEEE Conference on Decision and Control, 2014, p.3848-3859

2014

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Invariant Differential Positivity and Consensus on Lie Groups

IFAC-PapersOnLine, 2016, Vol.49 (18), p.630-635

2016

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Path-complete positivity of switching systems

IFAC-PapersOnLine, 2017-07, Vol.50 (1), p.4558-4563

2017

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Stabilization and Disturbance Attenuation of Nonlinear Systems Using Dissipativity Theory

European journal of control, 2002, Vol.8 (5), p.408-431

2002

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Differentially passive circuits that switch and oscillate

IFAC-PapersOnLine, 2018, Vol.51 (13), p.19-24

2018

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Oscillators as Systems and Synchrony as a Design Principle

Current Trends in Nonlinear Systems and Control, p.123-141

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Low-rank optimization for distance matrix completion

2011 50th IEEE Conference on Decision and Control and European Control Conference, 2011, p.4455-4460

2011

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Consensus on Nonlinear Spaces

IFAC Proceedings Volumes, 2010-09, Vol.43 (14), p.1029-1039

Sepulchre, R.

2010

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Computation of time-optimal switchings for linear systems with complex poles

2003 European Control Conference (ECC), 2003, p.2190-2195

2003

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Optimization algorithms on matrix manifolds

Analysis and design of nonlinear resonances via singularity theory

Low-Rank Optimization with Trace Norm Penalty

Low-Rank Optimization on the Cone of Positive Semidefinite Matrices

Control Across Scales by Positive and Negative Feedback

Consensus on nonlinear spaces

Riemannian Geometry of Grassmann Manifolds with a View on Algorithmic Computation

Contraction of monotone phase-coupled oscillators

Scanning the issue

Scanning the issue

A spectral characterization of nonlinear normal modes

A Grassmann-Rayleigh Quotient Iteration for Computing Invariant Subspaces

Cubically convergent iterations for invariant subspace computation

Nonlinear analysis of cardiac rhythm fluctuations using DFA method

Differential positivity with respect to cones of rank k ≥ 2

On differentially dissipative dynamical systems

Differential analysis of nonlinear systems: Revisiting the pendulum example

Invariant Differential Positivity and Consensus on Lie Groups

Path-complete positivity of switching systems

Stabilization and Disturbance Attenuation of Nonlinear Systems Using Dissipativity Theory

Differentially passive circuits that switch and oscillate

Oscillators as Systems and Synchrony as a Design Principle

Low-rank optimization for distance matrix completion

Consensus on Nonlinear Spaces

Computation of time-optimal switchings for linear systems with complex poles

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