Boudellioua, M. S.; Galkowski, K.; Rogers, E. Equivalence of wave linear repetitive processes and the singular \(2-D\) Roesser state-space model. (English) Zbl 1455.93079 Multidimensional Syst. Signal Process. 31, No. 1, 103-116 (2020). MSC: 93C15 93B25 PDFBibTeX XMLCite \textit{M. S. Boudellioua} et al., Multidimensional Syst. Signal Process. 31, No. 1, 103--116 (2020; Zbl 1455.93079) Full Text: DOI
Boudellioua, Mohamed S.; Galkowski, Krzysztof; Rogers, Eric Characterization of a class of spatially interconnected systems (ladder circuits) using two-dimensional systems theory. (English) Zbl 1426.94166 Multidimensional Syst. Signal Process. 30, No. 4, 2185-2197 (2019). MSC: 94C05 93A10 PDFBibTeX XMLCite \textit{M. S. Boudellioua} et al., Multidimensional Syst. Signal Process. 30, No. 4, 2185--2197 (2019; Zbl 1426.94166) Full Text: DOI
Zhao, Dongdong; Galkowski, Krzysztof; Sulikowski, Bartlomiej; Xu, Li 3-D modelling of rectangular circuits as the particular class of spatially interconnected systems on the plane. (English) Zbl 1411.94114 Multidimensional Syst. Signal Process. 30, No. 3, 1583-1608 (2019). MSC: 94C05 93A30 PDFBibTeX XMLCite \textit{D. Zhao} et al., Multidimensional Syst. Signal Process. 30, No. 3, 1583--1608 (2019; Zbl 1411.94114) Full Text: DOI
Galkowski, Krzysztof; Rogers, Eric Control systems analysis for the Fornasini-Marchesini 2D systems model – progress after four decades. (English) Zbl 1405.93130 Int. J. Control 91, No. 12, 2801-2822 (2018). MSC: 93C35 93C05 93B51 93C20 PDFBibTeX XMLCite \textit{K. Galkowski} and \textit{E. Rogers}, Int. J. Control 91, No. 12, 2801--2822 (2018; Zbl 1405.93130) Full Text: DOI Link
Sulikowski, Bartłomiej; Gałkowski, Krzysztof; Kummert, Anton; Rogers, Eric Two-dimensional (2D) systems approach to feedforward/feedback control of a class of spatially interconnected systems. (English) Zbl 1405.93200 Int. J. Control 91, No. 12, 2780-2791 (2018). MSC: 93D21 93D09 93A30 93B52 94C05 PDFBibTeX XMLCite \textit{B. Sulikowski} et al., Int. J. Control 91, No. 12, 2780--2791 (2018; Zbl 1405.93200) Full Text: DOI
Boudellioua, Mohamed S.; Galkowski, Krzysztof; Rogers, Eric Equivalent 2-D nonsingular Roesser models for discrete linear repetitive processes. (English) Zbl 1405.93105 Int. J. Control 91, No. 12, 2673-2681 (2018). MSC: 93C05 93B15 93B18 PDFBibTeX XMLCite \textit{M. S. Boudellioua} et al., Int. J. Control 91, No. 12, 2673--2681 (2018; Zbl 1405.93105) Full Text: DOI Link
Pakshin, Pavel; Emelianova, Julia; Gałkowski, Krzysztof; Rogers, Eric Stabilization of two-dimensional nonlinear systems described by Fornasini-Marchesini and Roesser models. (English) Zbl 1401.93217 SIAM J. Control Optim. 56, No. 5, 3848-3866 (2018). MSC: 93E15 93D05 93D30 93C10 93B52 PDFBibTeX XMLCite \textit{P. Pakshin} et al., SIAM J. Control Optim. 56, No. 5, 3848--3866 (2018; Zbl 1401.93217) Full Text: DOI
Pakshin, P. V.; Emelianova, J. P.; Emelianov, M. A.; Gałkowski, K.; Rogers, E. Stochastic stability of some classes of nonlinear 2D systems. (English. Russian original) Zbl 1391.93284 Autom. Remote Control 79, No. 1, 89-102 (2018); translation from Avtom. Telemekh. 2018, No. 1, 113-129 (2018). MSC: 93E15 93E03 93C10 93D05 PDFBibTeX XMLCite \textit{P. V. Pakshin} et al., Autom. Remote Control 79, No. 1, 89--102 (2018; Zbl 1391.93284); translation from Avtom. Telemekh. 2018, No. 1, 113--129 (2018) Full Text: DOI
Boudellioua, M. S.; Galkowski, K.; Rogers, E. On the connection between discrete linear repetitive processes and 2-\(D\) discrete linear systems. (English) Zbl 1364.93319 Multidimensional Syst. Signal Process. 28, No. 1, 341-351 (2017). MSC: 93C05 93C23 93B11 93B17 PDFBibTeX XMLCite \textit{M. S. Boudellioua} et al., Multidimensional Syst. Signal Process. 28, No. 1, 341--351 (2017; Zbl 1364.93319) Full Text: DOI
Galkowski, K.; Emelianov, M. A.; Pakshin, P. V.; Rogers, E. Vector Lyapunov functions for stability and stabilization of differential repetitive processes. (English. Russian original) Zbl 1383.93061 J. Comput. Syst. Sci. Int. 55, No. 4, 503-514 (2016); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2016, No. 4, 5-17 (2016). MSC: 93D05 93D30 93D20 93C15 93C10 93C41 PDFBibTeX XMLCite \textit{K. Galkowski} et al., J. Comput. Syst. Sci. Int. 55, No. 4, 503--514 (2016; Zbl 1383.93061); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2016, No. 4, 5--17 (2016) Full Text: DOI
Rogers, E.; Galkowski, K.; Paszke, W.; Moore, K. L.; Bauer, P. H.; Hladowski, L.; Dabkowski, P. Multidimensional control systems: case studies in design and evaluation. (English) Zbl 1367.93293 Multidimensional Syst. Signal Process. 26, No. 4, 895-939 (2015). MSC: 93C35 93C55 93B51 PDFBibTeX XMLCite \textit{E. Rogers} et al., Multidimensional Syst. Signal Process. 26, No. 4, 895--939 (2015; Zbl 1367.93293) Full Text: DOI Link
Sulikowski, Bartlomiej; Galkowski, Krzysztof; Kummert, Anton Proportional plus integral control of ladder circuits modeled in the form of two-dimensional (2D) systems. (English) Zbl 1348.93039 Multidimensional Syst. Signal Process. 26, No. 1, 267-290 (2015). MSC: 93A30 93C95 93B51 94C05 PDFBibTeX XMLCite \textit{B. Sulikowski} et al., Multidimensional Syst. Signal Process. 26, No. 1, 267--290 (2015; Zbl 1348.93039) Full Text: DOI
Emelianov, M. A.; Pakshin, P. V.; Gałkowski, K.; Rogers, E. Stabilization of differential repetitive processes. (English. Russian original) Zbl 1322.93085 Autom. Remote Control 76, No. 5, 786-800 (2015); translation from Avtom. Telemekh. 2015, No. 5, 72-89 (2015); addendum Autom. Remote Control 77, No. 1, 130-132 (2016); translation from Avtom. Telemekh. 2016, No. 1, 163-166 (2016). MSC: 93D20 93D21 93C15 93C10 34C99 PDFBibTeX XMLCite \textit{M. A. Emelianov} et al., Autom. Remote Control 76, No. 5, 786--800 (2015; Zbl 1322.93085); translation from Avtom. Telemekh. 2015, No. 5, 72--89 (2015); addendum Autom. Remote Control 77, No. 1, 130--132 (2015) Full Text: DOI
Emelianova, J. P.; Pakshin, P. V.; Gałkowski, K.; Rogers, E. Stability of nonlinear 2D systems described by the continuous-time Roesser model. (English. Russian original) Zbl 1302.93181 Autom. Remote Control 75, No. 5, 845-858 (2014); translation from Avtom. Telemekh. 2014, No. 5, 50-66 (2014); addendum Autom. Remote Control 77, No. 1, 130-132 (2016); translation from Avtom. Telemekh. 2016, No. 1, 163-166 (2016). MSC: 93D20 93D15 93C10 93C15 PDFBibTeX XMLCite \textit{J. P. Emelianova} et al., Autom. Remote Control 75, No. 5, 845--858 (2014; Zbl 1302.93181); translation from Avtom. Telemekh. 2014, No. 5, 50--66 (2014); addendum Autom. Remote Control 77, No. 1, 130--132 (2014) Full Text: DOI
Cichy, Błażej; Gałkowski, Krzysztof; Rogers, Eric; Kummert, Anton Control law design for discrete linear repetitive processes with non-local updating structures. (English) Zbl 1283.93169 Multidimensional Syst. Signal Process. 24, No. 4, 707-726 (2013). MSC: 93C55 93D99 93C05 PDFBibTeX XMLCite \textit{B. Cichy} et al., Multidimensional Syst. Signal Process. 24, No. 4, 707--726 (2013; Zbl 1283.93169) Full Text: DOI Link
Cichy, B.; Gałkowski, K.; Rogers, E. Iterative learning control for spatio-temporal dynamics using Crank-Nicholson discretization. (English) Zbl 1255.93051 Multidimensional Syst. Signal Process. 23, No. 1-2, 185-208 (2012). MSC: 93B40 68T05 65M06 PDFBibTeX XMLCite \textit{B. Cichy} et al., Multidimensional Syst. Signal Process. 23, No. 1--2, 185--208 (2012; Zbl 1255.93051) Full Text: DOI Link
Pakshin, P. V.; Gałkowski, K.; Rogers, E. Linear-quadratic parametrization of stabilizing controls in discrete-time 2D systems. (English. Russian original) Zbl 1269.93085 Autom. Remote Control 72, No. 11, 2364-2378 (2011); translation from Avtom. Telemekh. 2011, No. 11, 157-173 (2011). MSC: 93D15 93B40 60J75 PDFBibTeX XMLCite \textit{P. V. Pakshin} et al., Autom. Remote Control 72, No. 11, 2364--2378 (2011; Zbl 1269.93085); translation from Avtom. Telemekh. 2011, No. 11, 157--173 (2011) Full Text: DOI
Paszke, Wojciech; Rogers, Eric; Gałkowski, Krzysztof \(\mathbb H_2/\mathbb H_{\infty}\) output information-based disturbance attenuation for differential linear repetitive processes. (English) Zbl 1244.93091 Int. J. Robust Nonlinear Control 21, No. 17, 1981-1993 (2011). MSC: 93C55 93B36 PDFBibTeX XMLCite \textit{W. Paszke} et al., Int. J. Robust Nonlinear Control 21, No. 17, 1981--1993 (2011; Zbl 1244.93091) Full Text: DOI
Cichy, Błażej; Gałkowski, Krzysztof; Rogers, Eric; Kummert, Anton An approach to iterative learning control for spatio-temporal dynamics using \(n\)D discrete linear systems models. (English) Zbl 1209.93090 Multidimensional Syst. Signal Process. 22, No. 1-3, 83-96 (2011). MSC: 93C55 93C20 68T05 PDFBibTeX XMLCite \textit{B. Cichy} et al., Multidimensional Syst. Signal Process. 22, No. 1--3, 83--96 (2011; Zbl 1209.93090) Full Text: DOI
Dąbkowski, Paweł; Gałkowski, Krzysztof; Rogers, Eric; Kummert, Anton Strong practical stability and stabilization of discrete linear repetitive processes. (English) Zbl 1298.93261 Multidimensional Syst. Signal Process. 20, No. 4, 311-331 (2009). MSC: 93D09 93C55 93C05 PDFBibTeX XMLCite \textit{P. Dąbkowski} et al., Multidimensional Syst. Signal Process. 20, No. 4, 311--331 (2009; Zbl 1298.93261) Full Text: DOI Link
Sulikowski, B.; Gałkowski, K.; Rogers, E.; Owens, D. H. Decoupling and iterative approaches to the control of discrete linear repetitive processes. (English) Zbl 1133.93351 Multidimensional Syst. Signal Process. 18, No. 4, 249-272 (2007). MSC: 93C55 93C05 93B40 93D20 PDFBibTeX XMLCite \textit{B. Sulikowski} et al., Multidimensional Syst. Signal Process. 18, No. 4, 249--272 (2007; Zbl 1133.93351) Full Text: DOI Link
Hładowski, Ł.; Gałkowski, K.; Owens, D. H.; Rogers, E. Relaxed pass profile controllability of discrete linear repetitive processes. (English) Zbl 1101.93013 Int. J. Control 79, No. 8, 938-958 (2006). Reviewer: Tadeusz Kaczorek (Warszawa) MSC: 93B05 93C55 PDFBibTeX XMLCite \textit{Ł. Hładowski} et al., Int. J. Control 79, No. 8, 938--958 (2006; Zbl 1101.93013) Full Text: DOI
Paszke, Wojciech; Gałkowski, Krzysztof; Rogers, Eric; Owens, David H. \(\mathcal H_{\infty}\) and guaranteed cost control of discrete linear repetitive processes. (English) Zbl 1160.93009 Linear Algebra Appl. 412, No. 2-3, 93-131 (2006). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 93B36 93C55 PDFBibTeX XMLCite \textit{W. Paszke} et al., Linear Algebra Appl. 412, No. 2--3, 93--131 (2006; Zbl 1160.93009) Full Text: DOI
Sulikowski, B.; Galkowski, K.; Rogers, E.; Ownes, D. H. Control and disturbance rejection for discrete linear repetitive processes. (English) Zbl 1219.93043 Multidimensional Syst. Signal Process. 16, No. 2, 199-216 (2005). MSC: 93B52 93C55 PDFBibTeX XMLCite \textit{B. Sulikowski} et al., Multidimensional Syst. Signal Process. 16, No. 2, 199--216 (2005; Zbl 1219.93043) Full Text: DOI Link
Paszke, Wojciech; Lam, James; Gałkowski, Krzysztof; Xu, Shengyuan; Lin, Zhiping Robust stability and stabilisation of 2d discrete state-delayed systems. (English) Zbl 1157.93472 Syst. Control Lett. 51, No. 3-4, 277-291 (2004). MSC: 93D09 93C23 PDFBibTeX XMLCite \textit{W. Paszke} et al., Syst. Control Lett. 51, No. 3--4, 277--291 (2004; Zbl 1157.93472) Full Text: DOI
Lam, James; Xu, Shengyuan; Zou, Yun; Lin, Zhiping; Galkowski, K. Robust output feedback stabilization for two-dimensional continuous systems in Roesser form. (English) Zbl 1122.93405 Appl. Math. Lett. 17, No. 12, 1331-1341 (2004). MSC: 93D21 93D15 PDFBibTeX XMLCite \textit{J. Lam} et al., Appl. Math. Lett. 17, No. 12, 1331--1341 (2004; Zbl 1122.93405) Full Text: DOI
Dymkov, M.; Gaishun, I.; Rogers, E.; Gałkowski, K.; Owens, D. H. Control theory for a class of 2D continuous-discrete linear systems. (English) Zbl 1060.93055 Int. J. Control 77, No. 9, 847-860 (2004). Reviewer: Tadeusz Kaczorek (Warszawa) MSC: 93C35 93C05 93B05 93D20 93D15 PDFBibTeX XMLCite \textit{M. Dymkov} et al., Int. J. Control 77, No. 9, 847--860 (2004; Zbl 1060.93055) Full Text: DOI Link
Galkowski, Krzysztof; Lam, James; Xu, Shengyuan; Lin, Zhiping LMI approach to state-feedback stabilization of multidimensional systems. (English) Zbl 1048.93084 Int. J. Control 76, No. 14, 1428-1436 (2003). MSC: 93D15 93C35 15A39 PDFBibTeX XMLCite \textit{K. Galkowski} et al., Int. J. Control 76, No. 14, 1428--1436 (2003; Zbl 1048.93084) Full Text: DOI
Xu, Shengyuan; Lam, James; Lin, Zhiping; Galkowski, Krzysztof; Paszke, Wojciech; Sulikowski, Bartek; Rogers, Eric; Owens, David H. Positive real control of two-dimensional systems: Roesser models and linear repetitive processes. (English) Zbl 1049.93052 Int. J. Control 76, No. 11, 1047-1058 (2003). Reviewer: Mihail Voicu (Iaşi) MSC: 93C35 93D15 93C55 PDFBibTeX XMLCite \textit{S. Xu} et al., Int. J. Control 76, No. 11, 1047--1058 (2003; Zbl 1049.93052) Full Text: DOI Link
Dymkov, M.; Gaishun, I.; Galkowski, K.; Rogers, E.; Owens, D. H. Exponential stability of discrete linear repetitive processes. (English) Zbl 1016.93055 Int. J. Control 75, No. 12, 861-869 (2002). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 93D20 93C35 93C55 PDFBibTeX XMLCite \textit{M. Dymkov} et al., Int. J. Control 75, No. 12, 861--869 (2002; Zbl 1016.93055) Full Text: DOI
Galkowski, K.; Rogers, E.; Owens, D. H. Matrix rank based conditions for reachability/controllability of dicrete linear repetitive processes. (English) Zbl 0933.93040 Linear Algebra Appl. 275-276, 201-224 (1998). Reviewer: J.Klamka (Katowice) MSC: 93B55 PDFBibTeX XMLCite \textit{K. Galkowski} et al., Linear Algebra Appl. 275--276, 201--224 (1998; Zbl 0933.93040) Full Text: DOI