Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Christopher Guiver"'
Publikováno v:
Journal of Differential Equations. 300:692-733
We prove (integral) input-to-state stability results for a class of forced Lur'e differential inclusions and use them to investigate incremental (integral) input-to-state stability properties of Lur'e differential equations. The latter provide a basi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dbf04c6b1b243867aa0efe8faaf47c48
https://doi.org/10.1016/j.jde.2021.08.009
https://doi.org/10.1016/j.jde.2021.08.009
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2020, Iss 76, Pp 1-15 (2020)
We study the size of the global attractor for a delay differential equation with unimodal feedback. We are interested in extending and complementing a dichotomy result by Liz and Rost, which assumed that the Schwarzian derivative of the nonlinear fee
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a59d99e5c0ac4803f2fea3ff3a6f58a5
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8950
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8950
Publikováno v:
Mathematics of Control, Signals, and Systems. 32:327-360
We consider forced Lur’e systems in which the linear dynamic component is an infinite-dimensional well-posed system. Numerous physically motivated delay and partial differential equations are known to belong to this class of infinite-dimensional sy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2257e7343bdf0dcd4f087870b20317f3
https://doi.org/10.1007/s00498-020-00262-y
https://doi.org/10.1007/s00498-020-00262-y
Publikováno v:
Franco, D, Guiver, C, Smith, P & Townley, S 2022, ' A switching feedback control approach for persistence of managed resources ', Discrete and Continuous Dynamical Systems-Series B, vol. 27, no. 3, pp. 1765-1787 . https://doi.org/10.3934/dcdsb.2021109
An adaptive switching feedback control scheme is proposed for classes of discrete-time, positive difference equations, or systems of equations. In overview, the objective is to choose a control strategy which ensures persistence of the state, consequ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b204aff276c9de88fbb54b59e546df1
https://purehost.bath.ac.uk/ws/files/219126056/2021_03_01_switching_revised.pdf
https://purehost.bath.ac.uk/ws/files/219126056/2021_03_01_switching_revised.pdf
A low-gain integral controller with anti-windup component is presented for exponentially stable, linear, discrete-time, infinite-dimensional control systems subject to input nonlinearities and external disturbances. We derive a disturbance-to-state s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ab0df40e4a5d33605899aa5b393f75d
Persistence and stability properties are considered for a class of forced positive nonlinear delay-differential systems which arise in mathematical ecology and other applied contexts. The inclusion of forcing incorporates the effects of control actio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::70373e1e888fc7dfbd302f5430e150c6
Publikováno v:
Gilmore, M, Guiver, C & Logemann, H 2020, ' Stability and convergence properties of forced infinite-dimensional discrete-time Lur’e systems ', International Journal of Control, vol. 93, no. 12, pp. 3026-3049 . https://doi.org/10.1080/00207179.2019.1575528
Incremental stability and convergence properties for forced, infinite-dimensional, discrete-time Lur'e systems are addressed. Lur'e systems have a linear and nonlinear component and arise as the feedback interconnection of a linear control system and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36c8d108bebbe1d1c4db3771e10a7b8c
https://doi.org/10.1080/00207179.2019.1575528
https://doi.org/10.1080/00207179.2019.1575528
Autor:
Christopher Guiver
Publikováno v:
Guiver, C 2019, ' The generalised singular perturbation approximation for bounded real and positive real control systems ', Mathematical Control and Related Fields, vol. 9, no. 2, pp. 313-350 . https://doi.org/10.3934/mcrf.2019016
The generalised singular perturbation approximation (GSPA) is considered as a model reduction scheme for bounded real and positive real linear control systems. The GSPA is a state-space approach to truncation with the defining property that the trans
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97b7bc84a498201f17016cd63948ceef
https://doi.org/10.3934/mcrf.2019016
https://doi.org/10.3934/mcrf.2019016
Autor:
Richard Rebarber, Stuart Townley, Brigitte Tenhumberg, Christopher Guiver, Nathan Poppelreiter
Publikováno v:
Guiver, C, Poppelreiter, N, Rebarber, R, Tenhumberg, B & Townley, S 2021, ' Dynamic observers for unknown populations ', Discrete and Continuous Dynamical Systems-Series B, vol. 26, no. 6, pp. 3279-3302 . https://doi.org/10.3934/dcdsb.2020232
Dynamic observers are considered in the context of structured-population modeling and management. Roughly, observers combine a known measured variable of some process with a model of that process to asymptotically reconstruct the unknown state variab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e57f118873652a23f3f0929cd0e67d7b
Autor:
Christopher Guiver, Hartmut Logemann
Publikováno v:
Guiver, C & Logemann, H 2020, ' A circle criterion for strong integral input-to-state stability ', Automatica, vol. 111, 108641 . https://doi.org/10.1016/j.automatica.2019.108641
We present sufficient conditions for integral input-to-state stability (iISS) and strong iISS of the zero equilibrium pair of continuous-time forced Lur’e systems, where by strong iISS we mean the conjunction of iISS and small-signal ISS. Our main
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c1d38bc73e1da8eb724700a60a939e9
https://purehost.bath.ac.uk/ws/files/198828751/2019_06_12_strong_iISS_two_column.pdf
https://purehost.bath.ac.uk/ws/files/198828751/2019_06_12_strong_iISS_two_column.pdf