Mark R. Opmeer

According to our database, Mark R. Opmeer authored at least 32 papers between 2004 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2024

Operator-valued multiplier theorems for causal translation-invariant operators with applications to control theoretic input-output stability.

Chris Guiver, Hartmut Logemann, Mark R. Opmeer

Math. Control. Signals Syst., December, 2024

A Mixed Passivity/Small-Gain Theorem for Sobolev Input-Output Stability.

Chris Guiver, Hartmut Logemann, Mark R. Opmeer

SIAM J. Control. Optim., 2024

2020

Decay of singular values for infinite-dimensional systems with Gevrey regularity.

Mark R. Opmeer

Syst. Control. Lett., 2020

2019

Optimal Control on the Doubly Infinite Time Axis for Well-Posed Linear Systems.

Mark R. Opmeer, Olof J. Staffans

SIAM J. Control. Optim., 2019

Infinite-Dimensional Lur'e Systems: Input-To-State Stability and Convergence Properties.

Chris Guiver, Hartmut Logemann, Mark R. Opmeer

SIAM J. Control. Optim., 2019

2017

The ADI method for bounded real and positive real Lur'e equations.

Arash Massoudi, Mark R. Opmeer, Timo Reis

Numerische Mathematik, 2017

Transfer functions of infinite-dimensional systems: positive realness and stabilization.

Chris Guiver, Hartmut Logemann, Mark R. Opmeer

Math. Control. Signals Syst., 2017

2016

Analysis of an Iteration Method for the Algebraic Riccati Equation.

Arash Massoudi, Mark R. Opmeer, Timo Reis

SIAM J. Matrix Anal. Appl., 2016

2015

A Lower Bound for the Balanced Truncation Error for MIMO Systems.

Mark R. Opmeer, Timo Reis

IEEE Trans. Autom. Control., 2015

Decay of singular values of the Gramians of infinite-dimensional systems.

Mark R. Opmeer

Proceedings of the 14th European Control Conference, 2015

Optimal model reduction for non-rational functions.

Mark R. Opmeer

Proceedings of the 14th European Control Conference, 2015

2014

Optimal Control on the Doubly Infinite Continuous Time Axis and Coprime Factorizations.

Mark R. Opmeer, Olof J. Staffans

SIAM J. Control. Optim., 2014

Model Reduction by Balanced Truncation for Systems with Nuclear Hankel Operators.

Chris Guiver, Mark R. Opmeer

SIAM J. Control. Optim., 2014

2013

Finite-Rank ADI Iteration for Operator Lyapunov Equations.

Mark R. Opmeer, Timo Reis, Winnifried Wollner

SIAM J. Control. Optim., 2013

2012

Model Order Reduction by Balanced Proper Orthogonal Decomposition and by Rational Interpolation.

Mark R. Opmeer

IEEE Trans. Autom. Control., 2012

Coprime Factorization and Optimal Control on the Doubly Infinite Discrete Time Axis.

Mark R. Opmeer, Olof J. Staffans

SIAM J. Control. Optim., 2012

Model reduction for distributed parameter systems: A functional analytic view.

Mark R. Opmeer

Proceedings of the American Control Conference, 2012

2011

A Counterexample to " Positive Realness Preserving Model Reduction With <i>H</i>_infty Norm Error Bounds".

Christopher Guiver, Mark R. Opmeer

IEEE Trans. Circuits Syst. I Regul. Pap., 2011

Infinite-Dimensional Negative Imaginary Systems.

Mark R. Opmeer

IEEE Trans. Autom. Control., 2011

Coprime factorization and robust stabilization for discrete-time infinite-dimensional systems.

Ruth F. Curtain, Mark R. Opmeer

Math. Control. Signals Syst., 2011

2010

Optimal Input-Output Stabilization of Infinite-Dimensional Discrete Time-Invariant Linear Systems by Output Injection.

Mark R. Opmeer, Olof J. Staffans

SIAM J. Control. Optim., 2010

Decay of Hankel singular values of analytic control systems.

Mark R. Opmeer

Syst. Control. Lett., 2010

Non-dissipative boundary feedback for Rayleigh and Timoshenko beams.

Chris Guiver, Mark R. Opmeer

Syst. Control. Lett., 2010

2008

Nuclearity of Hankel operators for ultradifferentiable control systems.

Mark R. Opmeer

Syst. Control. Lett., 2008

2007

LQG Balancing for Continuous-Time Infinite-Dimensional Systems.

Mark R. Opmeer

SIAM J. Control. Optim., 2007

2006

Normalized doubly coprime factorizations for infinite-dimensional linear systems.

Ruth F. Curtain, Mark R. Opmeer

Math. Control. Signals Syst., 2006

Non-well-posed infinite-dimensional linear systems.

Mark R. Opmeer, Ruth F. Curtain

Proceedings of the 45th IEEE Conference on Decision and Control, 2006

2005

The Suboptimal Nehari Problem for Well-Posed Linear Systems.

Ruth F. Curtain, Mark R. Opmeer

SIAM J. Control. Optim., 2005

Model reduction for controller design for infinite-dimensional systems: theory and an example.

Mark R. Opmeer, Fred W. Wubs, Simon van Mourik

Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

2004

Linear Quadratic Gaussian Balancing for Discrete-Time Infinite-Dimensional Linear Systems.

Mark R. Opmeer, Ruth F. Curtain

SIAM J. Control. Optim., 2004

New Riccati equations for well-posed linear systems.

Mark R. Opmeer, Ruth F. Curtain

Syst. Control. Lett., 2004

A representation of all bounded self-adjoint solutions of the algebraic Riccati equation for systems with an unbounded observation operator.

Mark R. Opmeer, Orest V. Iftime

Proceedings of the 43rd IEEE Conference on Decision and Control, 2004