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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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Synchronization and balancing on the N-torus

Systems & control letters, 2007-05, Vol.56 (5), p.335-341

2007

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Improving the state estimation for optimal control of stochastic processes subject to multiplicative noise

Automatica (Oxford), 2011-03, Vol.47 (3), p.591-596

2011

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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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Stability margins of nonlinear receding-horizon control via inverse optimality

Systems & control letters, 1997-12, Vol.32 (4), p.241-245

1997

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Improving the performance of low-gain designs for bounded control of linear systems

Automatica (Oxford), 2002-10, Vol.38 (10), p.1777-1782

2002

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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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Continuous dynamical systems that realize discrete optimization on the hypercube

Systems & control letters, 2004-07, Vol.52 (3), p.297-304

2004

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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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Global stabilization of feedforward systems with exponentially unstable Jacobian linearization

Systems & control letters, 1999, Vol.37 (2), p.107-115

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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Integrator forwarding: A new recursive nonlinear robust design

Automatica (Oxford), 1997-05, Vol.33 (5), p.979-984

1997

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Asymptotic stability for time-variant systems and observability : Uniform and nonuniform criteria

Mathematics of control, signals, and systems, 1998-03, Vol.11 (1), p.1-27

1998

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Feedback mechanisms for global oscillations in Lure systems

Systems & control letters, 2005-08, Vol.54 (8), p.809-818

2005

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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

Synchronization and balancing on the N-torus

Improving the state estimation for optimal control of stochastic processes subject to multiplicative noise

Consensus on nonlinear spaces

Riemannian Geometry of Grassmann Manifolds with a View on Algorithmic Computation

Contraction of monotone phase-coupled oscillators

Stability margins of nonlinear receding-horizon control via inverse optimality

Improving the performance of low-gain designs for bounded control of linear systems

A spectral characterization of nonlinear normal modes

A Grassmann-Rayleigh Quotient Iteration for Computing Invariant Subspaces

Continuous dynamical systems that realize discrete optimization on the hypercube

Cubically convergent iterations for invariant subspace computation

Nonlinear analysis of cardiac rhythm fluctuations using DFA method

Global stabilization of feedforward systems with exponentially unstable Jacobian linearization

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

Integrator forwarding: A new recursive nonlinear robust design

Asymptotic stability for time-variant systems and observability : Uniform and nonuniform criteria

Feedback mechanisms for global oscillations in Lure systems

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