My research interests are in mathematical control and systems theory, with emphasis on infinite-dimensional and nonlinear systems. Recent research topics include:
H. Logemann & E.P. Ryan, Stability and asymptotic behaviour of nonlinear systems: an introduction, Mathematical Methods for Robust and Nonlinear Control (edited by M.C. Turner and D.C. Bates.), LNCIS 367, Springer-Verlag, Berlin Heidelberg (2007), 195-220. PDF
H. Logemann & A.D. Mawby, Low-gain integral control of infinite-dimensional regular linear systems subject to input hysteresis, Advances in Mathematical Systems Theory (edited by F. Colonius et al.), Birkhäuser, Boston (2001), 255-292. PDF
H. Logemann, Stabilization and regulation of infinite-dimensional systems using coprime factorizations, Analysis and Optimization of Systems: State and Frequency Domain Approaches to Infinite Dimensional Systems (edited by R.F. Curtain, A. Bensoussan and J.L. Lions), LNCIS 185, Springer-Verlag, Berlin Heidelberg (1993), 102-139. PDF
D. Franco, C. Guiver, H. Logemann & J. Perán, Dynamic properties of a class of forced positive higher-order scalar difference equations: persistency, stability and convergence, 29 pages, submitted for publication, 2024. PDF
C. Guiver, H. Logemann & M.R. Opmeer, A mixed passivity/small-gain theorem for Sobolev input-output stability, 27 pages, submitted for publication, 2024. PDF
D. Franco, C. Guiver, H. Logemann & J. Perán, Persistency and stability of a class of nonlinear forced positive discrete-time systems with delays, Physica D, 467 (2024), 134260. PDF
C. Guiver, H. Logemann & M.R. Opmeer, Operator-valued multiplier theorems for causal translation-invariant operators with applications to control theoretic input-output stability, Mathematics of Control, Signals, and Systems (2024), https://doi.org/10.1007/s00498-024-00387-4, 45 pages. PDF
C. Guiver & H. Logemann, Stability of forced higher-order continuous-time Lur’e systems: a behavioural input-output perspective, Int. J. Control (2023), https://doi.org/10.1080/00207179.2023.2233023, 23 pages. PDF
C. Guiver & H. Logemann, The exponential input-to-state stability property: characterisations and feedback connections, Mathematics of Control, Signals and Systems, 35 (2023), 375-398. PDF
C. Guiver & H. Logemann, The circle criterion for a class of sector-bounded dynamic nonlinearities, Mathematics of Control, Signals and Systems, 34 (2022), 461-492. PDF
M.E. Gilmore, C. Guiver & H. Logemann, Sampled-data integral control of multivariable linear infinite-dimensional systems with input nonlinearities, Mathematical Control and Related Fields, 12 (2022), 17-47. PDF
M.E. Gilmore, C. Guiver & H. Logemann, Incremental input-to-state stability for Lur’e systems and asymptotic behaviour in the presence of Stepanov almost periodic forcing, J. Differential Equations 300 (2021), 692-733. PDF
D. Franco, C. Guiver & H. Logemann, Persistence and stability for a class of forced positive nonlinear delay-differential systems, Acta Applicandae Mathematicae, 174 Issue 1 (2021), 42 pages. PDF
D. Franco, C. Guiver, H. Logemann & J. Perán, On the global attractor of delay differential equations with unimodal feedback not satisfying the negative Schwarzian derivative condition, Electronic Journal of Qualitative Theory of Differential Equations, No 76 (2020), 1-15. PDF
H. Logemann, Some spectral properties of operator-valued positive-real functions, Systems and Control Letters, 145 (2020) 104786, 9 pages. PDF
M.E. Gilmore, C. Guiver & H. Logemann, Infinite-dimensional Lur'e systems with almost periodic forcing, Mathematics of Control, Signals and Systems, 32 (2020), 327-360. PDF
M.E. Gilmore, C. Guiver & H. Logemann, Semi-global incremental input-to-state stability of discrete-time Lur'e systems, Systems and Control Letters, 136 (2020) 104593, 8 pages. PDF
C. Guiver & H. Logemann, A circle criterion for strong integral input-to-state stability, Automatica (2020), 14 pages. PDF
D. Franco, C. Guiver, H. Logemann & J. Perán, Boundedness, persistence and stability for classes of forced difference equations arising in population models, J. Mathematical Biology, 79 (2019), 1029-1076. PDF
M.E. Gilmore. C. Guiver & H. Logemann, Stability and convergence properties of forced infinite-dimensional discrete-time Lur'e systems, Int. J. Control (2019), 24 pages. PDF
C. Guiver, H. Logemann & M.R. Opmeer, Infinite-dimensional Lur'e systems: input-to-state stability and convergence properties, SIAM J. Control and Optimization, 57 (2019), 334-365. PDF
C. Guiver, H. Logemann & B. Rüffer, Small-gain stability theorems for positive Lur'e inclusions, Positivity, 23 (2019), 249-289. PDF
C. Guiver, H. Logemann & M.R. Opmeer, Transfer functions of infinite-dimensional systems: positive realness and stabilization, Mathematics of Control, Signals, and Systems, 29:20 (2017), https://doi.org/10.1007/s00498-017-0203-z, 61 pages. 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), 50 pages. 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
H. Logemann, E.P. Ryan & S. Townley, Integral control of linear systems with actuator nonlinearities: lower bounds for the maximal regulating gain, IEEE Trans. Automatic Control, 44 (1999), 1315-1319. PDF
H. Logemann & R. Rebarber, PDEs with distributed control and delay in the loop: transfer function poles, exponential modes and robustness of stability", European Journal of Control 4 (1998), 333-344. PDF
H. Logemann, E.P. Ryan & S. Townley, Integral control of infinite-dimensional linear systems subject to input saturation, SIAM J. Control and Optimization, 36 (1998), 1940-1961. PDF
A. Ilchmann & H. Logemann, Adaptive λ-tracking for a class of infinite-dimensional systems, Systems and Control Letters, 34 (1998), 11-21. PDF
H. Logemann, Destabilizing effects of small time-delays on feedback controlled descriptor systems, Linear Algebra and its Applications, 272 (1998), 131-153. PDF
H. Logemann & S. Townley, Adaptive integral-control of time-delay systems, IEE Proc. Control Theory App, 144 (1997), 531-536. PDF
H. Logemann & S. Townley, Adaptive control of infinite-dimensional systems without parameter estimation: an overview, IMA J. Mathematical Control and Information, 14 (1997), 175-206. PDF
H. Logemann & S. Townley, Low-gain control of uncertain regular linear systems, SIAM J. Control and Optimization, 35 (1997), 78-116. PDF
H. Logemann & S. Townley, Discrete-time low-gain control of uncertain infinite-dimensional systems, IEEE Trans. Automatic Control, 42 (1997), 22-37. PDF
H. Logemann & R. Rebarber, The effect of small time delays on the closed-loop stability of boundary control systems, Mathematics of Control, Signals, and Systems, 9 (1996), 123-151. PDF
H. Logemann & S. Townley, The effect of small delays in the feedback loop on the stability of neutral systems, Systems and Control Letters, 27 (1996), 267-274. PDF
H. Logemann, R. Rebarber & G.Weiss, Conditions for robustness and nonrobustness of the stability of feedback systems with respect to small delays in the feedback loop, SIAM J. Control and Optimization, 34 (1996), 572-600. PDF
R.F. Curtain, H. Logemann, S. Townley & H.J. Zwart, Well-posedness, stabilizability, and admissibility for Pritchard-Salamon systems, J. Mathematical Systems, 4 (1994), 1-38. PDF
H. Logemann & A. Ilchmann, An adaptive servomechanism for a class of infinite-dimensional systems, SIAM J. Control and Optimization, 32 (1994), 917-936. PDF
H. Logemann & L. Pandolfi, A note on stability and stabilizability of neutral systems, IEEE Trans. Automatic Control, 39 (1994), 138-143. PDF
H. Logemann, Stability and stabilizability of linear infinite-dimensional discrete-time systems, IMA J. Mathematical Control and Information, 9 (1992), 255-263. PDF
H. Logemann & B. Mårtensson, Adaptive stabilization of infinite-dimensional systems, IEEE Trans. Automatic Control, 37 (1992), 1869-1883. PDF
A. Ilchmann & H. Logemann, High-gain adaptive stabilization of multivariable systems revisited, Systems and Control Letters, 18 (1992), 355-364. PDF
H. Logemann & H.J. Zwart, On robust PI-control of infinite-dimensional systems, SIAM J. Control and Optimization, 30 (1992), 573-593. PDF
H. Logemann, Circle criteria, small-gain conditions and internal stability for infinite-dimensional systems, Automatica, 27 (1991), 677-690. PDF
H. Logemann & H.J. Zwart Some remarks on adaptive stabilization of infinite-dimensional systems, Systems and Control Letters, 16 (1991), 199-207. PDF
H. Logemann, Adaptive exponential stabilization for a class of nonlinear retarded processes, Mathematics of Control, Signals, and Systems, 3 (1990), 255-269. PDF
R.F. Curtain & H. Logemann, Algebraic properties of systems of nuclear type, Systems and Control Letters, 13 (1989), 291-297. PDF
H. Logemann & D.H. Owens, Low-gain control of unknown infinite-dimensional systems: a frequency domain approach, Dynamics and Stability of Systems, 4 (1989), 13-27. PDF
H. Logemann & D.H. Owens, Input-output theory of high-gain adaptive stabilization with output nonlinearities , Int. J. Adaptive Control and Signal Processing, 2 (1988), 193-216. PDF
H. Logemann, J. Bontsema & D.H. Owens, Low-gain control of distributed parameter systems with unbounded control and observation, Control - Theory and Advanced Technology, 4, (1988), 429-445. PDF
H. Logemann & D.H. Owens, Robust high-gain feedback control of infinite-dimensional minimum-phase systems, IMA J. Mathematical Control and Information, 4 (1987), 195-220. PDF
H.Logemann, On the transfer matrix of a neutral system: characterizations of exponential stability in input-output terms, Systems and Control Letters, 9 (1987), 393-400. PDF
H. Logemann, Finitely generated ideals in certain algebras of transfer functions for infinite-dimensional systems, Int. J. Control, 45 (1987), 247-250. PDF
H. Logemann, Transfer-function conditions for the stability of neutral and Volterra integro-differential systems, IMA J. Mathematical Control and Information, 3 (1986), 9-19. PDF
H. Logemann, On the existence of finite-dimensional compensators for retarded and neutral systems, Int. J. Control, 43 (1986), 109-121. PDF
H. Logemann, A note on the generalized inverse Nyquist stability criterion, Int. J. Control, 36 (1982), 845-850. PDF
[H. Logemann's homepage] [Department of Mathematical Sciences] [University of Bath]