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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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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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Slow peaking and low-gain designs for global stabilization of nonlinear systems

IEEE transactions on automatic control, 2000-03, Vol.45 (3), p.453-461

Sepulchre, R.

2000

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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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Collective Motion, Sensor Networks, and Ocean Sampling

Proceedings of the IEEE, 2007-01, Vol.95 (1), p.48-74

2007

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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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Lyapunov functions for stable cascades and applications to global stabilization

IEEE transactions on automatic control, 1999-09, Vol.44 (9), p.1795-1800

1999

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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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Antiwindup Design for Induction Motor Control in the Field Weakening Domain

IEEE transactions on control systems technology, 2013-01, Vol.21 (1), p.52-66

2013

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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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Robust stabilization of a nonlinear cement mill model

IEEE transactions on automatic control, 2001-04, Vol.46 (4), p.618-623

2001

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An operator-theoretic approach to differential positivity

2015 54th IEEE Conference on Decision and Control (CDC), 2015, p.7028-7033

2015

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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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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, 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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On differential passivity of physical systems

52nd IEEE Conference on Decision and Control, 2013, p.6580-6585

2013

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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

Consensus on nonlinear spaces

Riemannian Geometry of Grassmann Manifolds with a View on Algorithmic Computation

Contraction of monotone phase-coupled oscillators

Slow peaking and low-gain designs for global stabilization of nonlinear systems

Scanning the issue

Scanning the Issue

Collective Motion, Sensor Networks, and Ocean Sampling

A spectral characterization of nonlinear normal modes

Lyapunov functions for stable cascades and applications to global stabilization

A Grassmann-Rayleigh Quotient Iteration for Computing Invariant Subspaces

Antiwindup Design for Induction Motor Control in the Field Weakening Domain

Cubically convergent iterations for invariant subspace computation

Nonlinear analysis of cardiac rhythm fluctuations using DFA method

Robust stabilization of a nonlinear cement mill model

An operator-theoretic approach to differential positivity

Differential positivity with respect to cones of rank k ≥ 2

On differentially dissipative dynamical systems

Invariant Differential Positivity and Consensus on Lie Groups

Path-complete positivity of switching systems

Stabilization and Disturbance Attenuation of Nonlinear Systems Using Dissipativity Theory

On differential passivity of physical systems

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