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Optimization algorithms on matrix manifolds

1, 2008

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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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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 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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Homogeneous Lyapunov functions and necessary conditions for stabilization

Mathematics of control, signals, and systems, 1996-03, Vol.9 (1), p.34-58

1996

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A duality principle for homogeneous vectorfields with applications

Systems & control letters, 2002-09, Vol.47 (1), p.37-46

2002

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Stability of perturbed delay differential equations and stabilization of nonlinear cascade systems

SIAM journal on control and optimization, 2001-01, Vol.40 (3), p.661-680

2001

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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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Stability for dynamical systems with first integrals: A topological criterion

Systems & control letters, 1992, Vol.19 (6), p.461-465

1992

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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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Stabilizability does not imply homogeneous stabilizability for controllable homogeneous systems

SIAM journal on control and optimization, 1996-09, Vol.34 (5), p.1798-1813

1996

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Optimization algorithms on matrix manifolds

Low-Rank Optimization with Trace Norm Penalty

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 Grassmann-Rayleigh Quotient Iteration for Computing Invariant Subspaces

Cubically convergent iterations for invariant subspace computation

Nonlinear analysis of cardiac rhythm fluctuations using DFA method

Homogeneous Lyapunov functions and necessary conditions for stabilization

A duality principle for homogeneous vectorfields with applications

Stability of perturbed delay differential equations and stabilization of nonlinear cascade systems

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

Stability for dynamical systems with first integrals: A topological criterion

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

Stabilizability does not imply homogeneous stabilizability for controllable homogeneous systems

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