Uwe Helmke

According to our database1, Uwe Helmke authored at least 63 papers between 1984 and 2018.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.


IEEE Fellow

IEEE Fellow 2009, "For contributions to geometric methods, tracking and estimation in control systems".



In proceedings 
PhD thesis 



On csauthors.net:


Simultaneous velocity consensus and shape control for a finite number of point agents on the unit circle.
Automatica, 2018

Network Flows That Solve Linear Equations.
IEEE Trans. Automat. Contr., 2017

Partial state reachability of multiple linear systems in series.
Automatica, 2017

Counting critical formations on the circle: algebraic-geometric and Morse-theoretic bounds.
MCSS, 2016

Accessibility of bilinear networks of systems: control by interconnections.
MCSS, 2016

Controllability of ensembles of linear dynamical systems.
Mathematics and Computers in Simulation, 2016

Probability estimates for reachability of linear systems defined over finite fields.
Adv. in Math. of Comm., 2016

Reachability of a cascade of linear systems with communication delays.
Proceedings of the 2016 American Control Conference, 2016

Zeros of networked systems with time-invariant interconnections.
Automatica, 2015

Rigid formation shape control in general dimensions: an invariance principle and open problems.
Proceedings of the 54th IEEE Conference on Decision and Control, 2015

Formation control on lines, circles and ellipses: Genericity results and Morse theoretic ideas.
Proceedings of the 54th IEEE Conference on Decision and Control, 2015

Counting Critical Formations on a Line.
SIAM J. Control and Optimization, 2014

Uniform ensemble controllability for one-parameter families of time-invariant linear systems.
Systems & Control Letters, 2014

Reachability of Random Linear Systems over Finite Fields.
Proceedings of the Coding Theory and Applications, 4th International Castle Meeting, 2014

Geometrical methods for mismatched formation control.
Proceedings of the 53rd IEEE Conference on Decision and Control, 2014

Convergence analysis for rigid formation control with unrealizable shapes: The 3 agent case.
Proceedings of the 4th Australian Control Conference, AuCC 2014, Canberra, 2014

On the zeros of blocked time-invariant systems.
Systems & Control Letters, 2013

Reachability, observability and strict equivalence of networks of linear systems.
MCSS, 2013

Synchronizing Subspaces of Networks of Identical Linear Control Systems.
Automatisierungstechnik, 2013

Zeros of networks of linear multi-agent systems: Time-invariant interconnections.
Proceedings of the 52nd IEEE Conference on Decision and Control, 2013

Global identifiability of a simple linear model for gene expression analysis.
Proceedings of the 52nd IEEE Conference on Decision and Control, 2013

Equivariant Morse theory and formation control.
Proceedings of the 51st Annual Allerton Conference on Communication, 2013

Controllability Aspects of Quantum Dynamics: A Unified Approach for Closed and Open Systems.
IEEE Trans. Automat. Contr., 2012

Riemannian Optimization on Tensor Products of Grassmann Manifolds: Applications to Generalized Rayleigh-Quotients.
SIAM J. Matrix Analysis Applications, 2012

Structure and parametrization of periodic linear systems.
MCSS, 2011

Equivalence conditions for behaviors and the Kronecker canonical form.
MCSS, 2011

Positive observers for linear positive systems, and their implications.
Int. J. Control, 2011

A differential equation for diagonalizing complex semisimple Lie algebra elements.
Systems & Control Letters, 2010

Algebraic decoding for doubly cyclic convolutional codes.
Adv. in Math. of Comm., 2010

LQG balancing: Intertwining balancing and sign iterations.
Proceedings of the 49th IEEE Conference on Decision and Control, 2010

Global convergence of nonlinear cascade flows with Morse-Bott zero dynamics.
Systems & Control Letters, 2009

Global observability of real analytic systems.
Proceedings of the European Control Conference, 2009

A time-varying Newton algorithm for adaptive subspace tracking.
Mathematics and Computers in Simulation, 2008

Stereo matching for calibrated cameras without correspondence.
Proceedings of the 47th IEEE Conference on Decision and Control, 2008

A finite steps algorithm for solving convex feasibility problems.
J. Global Optimization, 2007

Essential Matrix Estimation Using Gauss-Newton Iterations on a Manifold.
International Journal of Computer Vision, 2007

Pole placement results for complex symmetric and Hamiltonian transfer functions.
Proceedings of the 46th IEEE Conference on Decision and Control, 2007

Riemannian subspace tracking algorithms on Grassmann manifolds.
Proceedings of the 46th IEEE Conference on Decision and Control, 2007

Output Feedback Pole Assignment for Transfer Functions with Symmetries.
SIAM J. Control and Optimization, 2006

Spin Dynamics: A Paradigm for Time Optimal Control on Compact Lie Groups.
J. Global Optimization, 2006

A Newton-like method for solving rank constrained linear matrix inequalities.
Automatica, 2006

A dual purpose principal and minor component flow.
Systems & Control Letters, 2005

Jacobi's Algorithm on Compact Lie Algebras.
SIAM J. Matrix Analysis Applications, 2004

Towards a compactification of the set of conditioned invariant subspaces.
Systems & Control Letters, 2003

Computation of Signature Symmetric Balanced Realizations.
J. Global Optimization, 2003

Singular value decomposition of time-varying matrices.
Future Generation Comp. Syst., 2003

Numerics Versus Control.
Proceedings of the Mathematical Systems Theory in Biology, 2003

Quadratically convergent algorithms for optimal dextrous hand grasping.
IEEE Trans. Robotics and Automation, 2002

Gradient Flows Computing the C-numerical Range with Applications in NMR Spectroscopy.
J. Global Optimization, 2002

Diagonalization of Time Varying Symmetric Matrices.
Proceedings of the Computational Science - ICCS 2002, 2002

Connectivity properties of spaces of partial realizations.
Systems & Control Letters, 2001

On controllability of the real shifted inverse power iteration.
Systems & Control Letters, 2001

Lie theory and its applications in control.
Systems & Control Letters, 2001

A controllability test for general first-order representations.
Automatica, 1997

A new algorithm for the generalized eigenvalue problem.
Proceedings of the 1997 IEEE International Conference on Acoustics, 1997

Existence and uniqueness results for neural network approximations.
IEEE Trans. Neural Networks, 1995

Neural networks, rational functions, and realization theory.
MCSS, 1995

Global analysis of Oja's flow for neural networks.
IEEE Trans. Neural Networks, 1994

Riccati-like flows and matrix approximations.
Kybernetika, 1993

Topological aspects of the partial realization problem.
MCSS, 1992

Rational Parametrizations of Neural Networks.
Proceedings of the Advances in Neural Information Processing Systems 5, [NIPS Conference, Denver, Colorado, USA, November 30, 1992

Topology of the Moduli Space for Reachable Linear Dynamical Systems: The Complex Case.
Mathematical Systems Theory, 1986

Topology of the moduli space for reachable linear dynamical systems: the complex case.
PhD thesis, 1984