Abstract
Owing to wide application background of 2-D systems, stabilization analysis of 2-D systems has become an important field of research. Many practical systems are usually modeled as 2-D systems, such as signal and image processing [34], thermal processing [30], and metal rolling processing [101]. Therefore, considerable interests have been attracted in stabilization analysis of the 2-D systems. In recent years, stabilization of 2-D systems are mainly studied in delay-dependent stabilization conditions which have less conservative than delay-independent ones [107] and [106]. Until now, study of 2-D discrete systems is mainly on using shift operator . However, parameters in traditional discrete-time systems don’t tend to the ones in corresponding continuous-time systems when sampling frequencies are gradually increased.
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Z. Feng, L. Xu, M. Wu, Y. He, Delay-dependent robust stability and stabilisation of uncertain two-dimensional discrete systems with time-varying delays. IET Control Theory Appl. 4(10), 1959–1971 (2010)
I. Ghous, Z. Xiang, Robust state feedback h ∞ control for uncertain 2-D continuous state delayed systems in Roesser model. Multidim. Syst. Signal Process. 27(2), 297–319 (1986)
G.C. Goodwin, Lozano R. Leal, D.Q. Mayne, R.H. Middleton, Rapprochement between continuous and discrete model reference adaptive control. Automatica 22(2), 199–207 (1986)
Z. Mao, B. Jiang, P. Shi, Fault-tolerant control for a class of nonlinear sampled-data systems via a euler approximate observer. Aumatica 46(11), 1852–1859 (2010)
W. Paszke, K. Galkowski, E. Rogers, D. Owens, Linear repetitive process control theory applied to a physical example. Int. J. Appl. Math. Comput. Sci. 13(1), 87–99 (2003)
D. Peng, C. Hua, Delay-dependent stability and static output feedback control of 2-D discrete systems with interval time-varying delays. Asian J. Control 16(6), 1–9 (2014)
D. Peng, C. Hua, Improved approach to delay-dependent stability and stabilisation of two-dimensional discrete-time systems with interval time-varying delays. IET Control Theory Appl. 9(12), 1839–1845 (2015)
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Yang, H., Xia, Y., Geng, Q. (2019). Stabilization for 2-D Systems. In: Analysis and Synthesis of Delta Operator Systems with Actuator Saturation. Studies in Systems, Decision and Control, vol 193. Springer, Singapore. https://doi.org/10.1007/978-981-13-3660-7_14
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DOI: https://doi.org/10.1007/978-981-13-3660-7_14
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