Research


My research interests are in mathematical control and systems theory, with emphasis on infinite-dimensional and nonlinear systems. Recent research topics include:


Research students


Postdocs


Preprints and journal publications (since 2000):

Disclaimer. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders.

C. Guiver, H. Logemann & B. Rüffer, Small-gain stability theorems for positive Lur’e inclusions, submitted for publication, 2017. PDF

C. Guiver, H. Logemann & M.R. Opmeer, Transfer functions of infinite-dimensional systems: positive realness and stabilization, to appear in Mathematics of Control, Signals, and Systems, 2017. PDF

D. Franco, C. Guiver, H. Logemann & J. Perán, Semi-global persistence and stability for a class of forced discrete-time population models, Physica D, 360 (2017), 46-61. PDF

C. Guiver, H. Logemann & S. Townley, Low-gain integral control for multi-input, multi-output linear systems with input nonlinearities, IEEE Trans. Automatic Control, 62 (2017), 4776-4783. PDF

D. Franco, H. Logemann, J. Perán & J. Segura, Dynamics of the discrete Seno population model: combined effects of harvest timing and intensity on population stability, Applied Mathematical Modelling, 48 (2017), 885-898. PDF

A. Bill, C. Guiver, H. Logemann & S. Townley, The converging-input converging-state property for Lur'e systems, Mathematics of Control, Signals, and Systems, 29 (2017). PDF

E. Sarkans & H. Logemann, Input-to-state stability of discrete-time Lur'e systems, SIAM J. Control and Optimization, 54 (2016), 1739-1768. PDF

A. Bill, C. Guiver, H. Logemann & S. Townley, Stability of non-negative Lur'e systems, SIAM J. Control and Optimization, 54 (2016), 1176-1211. PDF

E. Sarkans & H. Logemann, Stability of higher-order discrete-time Lur’e systems, Linear Algebra and its Applications, 506 (2016), 183-211. PDF

E. Sarkans & H. Logemann, Input-to-state stability of Lur'e systems, Mathematics of Control, Signals, and Systems, 27 (2015), 439-465. PDF

C. Guiver, H. Logemann, R. Rebarber, A. Bill, B. Tenhumberg, D. Hodgson & S. Townley, Integral control for population management, J. Mathematical Biology, 70 (2015), 1015-1063. PDF

D. Franco, H. Logemann & J. Perán, Global stability of an age-structured population model, Systems and Control Letters, 65 (2014), 30-36. PDF

H. Logemann, Stabilization of well-posed infinite-dimensional systems by dynamic sampled-data feedback, SIAM J. Control and Optimization, 51 (2013), 1203-1231. PDF

B. Jayawardhana, H. Logemann & E.P. Ryan, The circle criterion and input-to-state stability: new perspectives on a classical result, IEEE Control Systems Magazine, 31 (August 2011), 32-67. PDF

A. Ilchmann, Z. Ke & H. Logemann, Indirect sampled-data control with sampling period adaptation, Int. J. Control, 84 (2011), 424-431. PDF

A. Ilchmann, H. Logemann & E.P Ryan, Tracking with prescribed transient performance for hysteretic systems, SIAM J. Control and Optimization, 48 (2010). 4731-4752. PDF

H. Logemann & E.P. Ryan, Volterra functional differential equations: existence, uniqueness and continuation of solutions, American Mathematical Monthly, 117 (2010), 490-511. PDF

J. Coughlan & H. Logemann, Absolute stability and integral control for infinite-dimensional discrete-time systems, Nonlinear Analysis, 71 (2009), 4769-4789. PDF

Z. Ke, H. Logemann & R. Rebarber, A sampled-data servomechanism for stable well-posed systems, IEEE Trans. Automatic Control, 54 (2009), 1123-1128. PDF

Z. Ke, H. Logemann & R. Rebarber, Approximate tracking and disturbance rejection for stable infinite-dimensional systems using sampled-data low-gain control, SIAM J. Control and Optimization, 48 (2009), 641-671. PDF

B. Jayawardhana, H. Logemann & E.P. Ryan, Input-to-state stability of differential inclusions with applications to hysteretic and quantized feedback systems, SIAM J. Control and Optimization, 48 (2009), 1031-1054. PDF

Z. Ke, H. Logemann & S. Townley, Adaptive sampled-data integral control of stable infinite-dimensional linear systems, Systems and Control Letters, 58 (2009), 233-240. PDF

B. Jayawardhana, H. Logemann & E.P. Ryan, Infinite-dimensional feedback systems: the circle criterion and input-to-state stability, Communications in Information and Systems, 8 (2008), 403-434. PDF

B. Jayawardhana, H. Logemann & E.P. Ryan, PID control of second-order systems with hysteresis, Int. J. Control, 81 (2008), 1331-1342. PDF

H. Logemann, E.P. Ryan & I. Shvartsman, A class of differential-delay systems with hysteresis: asymptotic behaviour of solutions, Nonlinear Analysis, 69 (2008), 363-391. PDF

H. Logemann, E.P. Ryan & I. Shvartsman, Integral control of infinite-dimensional systems in the presence of hysteresis: an input-output approach, ESAIM: Control, Optimisation and Calculus of Variations, 13 (2007), 458-483. PDF

J. Coughlan, A.T. Hill & H. Logemann, The Z-transform and linear multistep stability, IMA Journal of Numerical Analysis, 27 (2007), 45-73. PDF

T. Fliegner, H. Logemann & E.P. Ryan, Absolute stability and integral control, Int. J. Control, 79 (2006), 311-326. PDF

H. Logemann, R. Rebarber & S. Townley, Generalized sampled-data stabilization of well-posed linear infinite-dimensional systems, SIAM J. Control and Optimization, 44 (2005), 1345-1369. PDF

H. Logemann & E.P. Ryan, Asymptotic behaviour of nonlinear systems, American Mathematical Monthly, 111 (2004), 864-889. PDF

R.F. Curtain, H. Logemann & O. Staffans, Absolute stability results in infinite dimensions, Proceedings of the Royal Society: Mathematical, Physical and Engineering Sciences, 460 (2004), 2171-2196. PDF

H. Logemann & A.D. Mawby, Extending hysteresis operators to spaces of piecewise continuous functions, J. Math. Analysis and Applications, 282 (2003), 107-127. PDF

H. Logemann, R. Rebarber & S. Townley, Stability of infinite-dimensional sampled-data systems, Trans. American Mathematical Society, 355 (2003), 3301-3328. PDF

R.F. Curtain, H. Logemann & O. Staffans, Stability results of Popov-type for infinite-dimensional systems with applications to integral control, Proc. London Mathematical Society, 86 (2003), 779-816. PDF

H. Logemann & E.P. Ryan, Non-autonomous systems: asymptotic behaviour and weak invariance principles, J. Differential Equations, 189 (2003), 440-460. PDF

H. Logemann & E.P. Ryan, Systems with hysteresis in the feedback loop: existence, regularity and asymptotic behaviour of solutions, ESAIM: Control, Optimisation and Calculus of Variations, 9 (2003), 169-196. PDF

H. Logemann & S. Townley, Adaptive low-gain integral control of multivariable well-posed linear systems, SIAM J. Control and Optimization, 41 (2003), 1722-1732. PDF

T. Fliegner, H. Logemann & E.P. Ryan, Low-gain integral control of continous-time linear systems subject to input and output nonlinearities, Automatica, 39 (2003), 455-462. PDF

H. Logemann & A.D. Mawby, Discrete-time and sampled-data low-gain integral control of infinite-dimensional linear systems in the presence of input hysteresis, SIAM J. Control and Optimization, 41 (2002), 113-140. PDF

T. Fliegner, H. Logemann & E.P. Ryan, Discrete-time low-gain control of linear systems with input/output nonlinearities, Int. J. of Robust and Nonlinear Control, 11 (2001), 1127-1143. PDF

T. Fliegner, H. Logemann & E.P. Ryan, Adaptive low-gain integral control of linear systems with input/output nonlinearities, Systems and Control Letters, 44 (2001), 1-12. PDF

T. Fliegner, H. Logemann & E.P. Ryan, Low-gain integral control of well-posed linear infinite-dimensional systems with input and output nonlinearities, J. Math. Analysis and Applications, 261 (2001), 307-336. PDF

W. Desch, H. Logemann, E.P. Ryan & E. Sontag, Meagre functions and asymptotic behaviour of dynamical systems, Nonlinear Analysis: Theory, Methods and Applications, 44 (2001), 1087-1109. PDF

H. Logemann & E.P. Ryan, Time-varying and adaptive discrete-time low-gain control of infinite-dimensional linear systems subject to input nonlinearities, Mathematics of Control, Signals, and Systems, 13 (2000), 293-317. PDF

H. Logemann & R.F. Curtain, Absolute stability results for infinite-dimensional well-posed systems with applications to low-gain control, ESAIM: Control, Optimisation and Calculus of Variations, 5 (2000), 395-424. PDF

H. Logemann & E.P. Ryan, Time-varying and adaptive integral control of infinite-dimensional regular linear systems with input nonlinearities, SIAM J. Control and Optimization 38 (2000), 1120-1144. PDF


Disclaimer. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders.


[My Homepage] [Department of Mathematical Sciences] [University of Bath]