# Items by Opmeer, Mark

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**26**.## 2015

Opmeer, M. and Reis, T., 2015. A lower bound for the balanced truncation error for MIMO systems.

*IEEE Transactions on Automatic Control*, 60 (8), pp. 2207-2212.Chakhchoukh, A. and Opmeer, M., 2015. Forthcoming. The state space isomorphism theorem for discrete-time infinite-dimensional systems.

*Integral Equations and Operator Theory*Item availability may be restricted.## 2014

Guiver, C. and Opmeer, M.R., 2014. Model reduction by balanced truncation for systems with nuclear Hankel operators.

*SIAM Journal on Control and Optimization (SICON)*, 52 (2), pp. 1366-1401.Opmeer, M.R. and Staffans, O.J., 2014. Optimal control on the doubly infinite continuous time axis and coprime factorizations.

*SIAM Journal on Control and Optimization (SICON)*, 52 (3), pp. 1958-2007.## 2013

Guiver, C. and Opmeer, M. R., 2013. Error bounds in the gap metric for dissipative balanced approximations.

*Linear Algebra and its Applications*, 439 (12), 3659–3698.Opmeer, M. R., Reis, T. and Wollner, W., 2013. Finite-rank ADI iteration for operator Lyapunov equations.

*SIAM Journal on Control and Optimization (SICON)*, 51 (5), 4084–4117.Guiver, C. and Opmeer, M. R., 2013. Bounded real and positive real balanced truncation for infinite-dimensional systems.

*Mathematical Control and Related Fields*, 3 (1), pp. 83-119.## 2012

Opmeer, M. R., 2012. Model order reduction by balanced proper orthogonal decomposition and by rational interpolation.

*IEEE Transactions on Automatic Control*, 57 (2), pp. 472-477.Opmeer, M. R. and Staffans, O. J., 2012. Coprime factorization and optimal control on the doubly infinite discrete time axis.

*SIAM Journal on Control and Optimization (SICON)*, 50 (1), pp. 266-285.Opmeer, M.R., 2012. Model reduction for distributed parameter systems:A functional analytic view.

*In*:*Proceedings of the American Control Conference.*American Automatic Control Council, pp. 1418-1423.## 2011

Opmeer, M., 2011. Infinite-dimensional negative imaginary systems.

*IEEE Transactions on Automatic Control*, 56 (12), pp. 2973-2976.Guiver, C. and Opmeer, M. R., 2011. A counterexample to "positive realness preserving model reduction with H-infinity norm error bounds".

*IEEE Transactions on Circuits and Systems. Part I: Regular Papers*, 58 (6), pp. 1410-1411.Curtain, R. F. and Opmeer, M. R., 2011. Coprime factorization and robust stabilization for discrete-time infinite-dimensional systems.

*Mathematics of Control Signals and Systems*, 23 (1-3), pp. 101-115.## 2010

Opmeer, M. R., 2010. Decay of Hankel singular values of analytic control systems.

*Systems & Control Letters*, 59 (10), pp. 635-638.Guiver, C. and Opmeer, M. R., 2010. Non-dissipative boundary feedback for Rayleigh and Timoshenko beams.

*Systems & Control Letters*, 59 (9), pp. 578-586.Opmeer, M. R. and Staffans, O. J., 2010. Optimal input-output stabilization of infinite-dimensional discrete time-invariant linear systems by output injection.

*SIAM Journal on Control and Optimization (SICON)*, 48 (8), pp. 5084-5107.## 2009

Curtain, R. F. and Opmeer, M. R., 2009. State space formulas for a solution of the suboptimal Nehari problem on the unit disc.

*Integral Equations and Operator Theory*, 64 (1), pp. 35-59.## 2008

Opmeer, M., 2008. Nuclearity of Hankel operators for ultradifferentiable control systems.

*Systems & Control Letters*, 57 (11), pp. 913-918.Opmeer, M. R. and Staffans, O. J., 2008. Optimal State Feedback Input-Output Stabilization of Infinite-Dimensional Discrete Time-Invariant Linear Systems.

*Complex Analysis and Operator Theory*, 2 (3), pp. 479-510.## 2007

Opmeer, M. R., 2007. LQG balancing for continuous-time infinite-dimensional systems.

*SIAM Journal on Control and Optimization (SICON)*, 46 (5), pp. 1831-1848.## 2006

Opmeer, M. R., 2006. Distribution semigroups and control systems.

*Journal of Evolution Equations*, 6 (1), pp. 145-159.Curtain, R. F. and Opmeer, M. R., 2006. Normalized doubly coprime factorizations for infinite-dimensional linear systems.

*Mathematics of Control Signals and Systems*, 18 (1), pp. 1-31.## 2005

Opmeer, M. R., 2005. Infinite-dimensional linear systems: A distributional approach.

*Proceedings of the London Mathematical Society*, 91, pp. 738-760.Curtain, R. F. and Opmeer, M. R., 2005. The suboptimal Nehari problem for well-posed linear systems.

*SIAM Journal on Control and Optimization (SICON)*, 44 (3), pp. 991-1018.## 2004

Opmeer, M. R. and Curtain, R. F., 2004. Linear quadratic Gaussian balancing for discrete-time infinite-dimensional linear systems.

*SIAM Journal on Control and Optimization (SICON)*, 43 (4), pp. 1196-1221.Opmeer, M. R. and Curtain, R. F., 2004. New Riccati equations for well-posed linear systems.

*Systems & Control Letters*, 52 (5), pp. 339-347.