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Volumn 7, Issue 3, 2009, Pages 335-343

A constructive approach to minimal realization problem of 2D systems

Author keywords

2D systems; Minimal realization; Roesser local state space model

Indexed keywords

1-D CASE; 2D SYSTEMS; CONSTRUCTIVE APPROACH; EXPLICIT CONSTRUCTIONS; ILLUSTRATIVE EXAMPLES; MINIMAL REALIZATION; MINIMAL REALIZATIONS; MINIMAL STATE; REALIZATION PROBLEMS; ROESSER LOCAL STATE-SPACE MODEL; ROESSER MODELS; SUFFICIENT CONDITIONS;

EID: 70350582605     PISSN: 16726340     EISSN: 10008152     Source Type: Journal    
DOI: 10.1007/s11768-009-7159-6     Document Type: Article
Times cited : (11)

References (21)
  • 1
    • 0018024042 scopus 로고
    • Realization and stabilization of 2-D systems[J]
    • R. Eising. Realization and stabilization of 2-D systems[J]. IEEE Transactions on Automatic Control, 1978, 23(5): 793-799.
    • (1978) IEEE Transactions on Automatic Control , vol.23 , Issue.5 , pp. 793-799
    • Eising, R.1
  • 2
    • 0015642011 scopus 로고
    • Minimization of multidimensional linear iterative circuits[J]
    • D. D. Givone, R. P. Roesser. Minimization of multidimensional linear iterative circuits[J]. IEEE Transactions on Computers, 1973, 22(7): 673-678.
    • (1973) IEEE Transactions on Computers , vol.22 , Issue.7 , pp. 673-678
    • Givone, D.D.1    Roesser, R.P.2
  • 3
    • 0017500725 scopus 로고
    • New results in 2-D systems theory-Part II: 2-D state space models - realization and the notions of controllability, observability and minimality[J]
    • S. Y. Kung. New results in 2-D systems theory-Part II: 2-D state space models - realization and the notions of controllability, observability and minimality[J]. Proceedings of the IEEE, 1977, 6(65): 945-961.
    • (1977) Proceedings of the IEEE , vol.6 , Issue.65 , pp. 945-961
    • Kung, S.Y.1
  • 4
    • 34250287560 scopus 로고
    • Doubly-indexed dynamical systems: State-space models and structural properties[J]
    • E. Fornasini, G. Marchesini. Doubly-indexed dynamical systems: State-space models and structural properties[J]. Mathematical Systems Theory, 1978, 12(1): 59-72.
    • (1978) Mathematical Systems Theory , vol.12 , Issue.1 , pp. 59-72
    • Fornasini, E.1    Marchesini, G.2
  • 5
    • 0031365410 scopus 로고    scopus 로고
    • Positive realization in canonical form of the 2D Roesser type model[C]
    • New York: IEEE Press
    • T. Kaczorek. Positive realization in canonical form of the 2D Roesser type model[C]//Proceedings of the 36th Conference on Decision and Control. New York: IEEE Press, 1997: 335-336.
    • (1997) Proceedings of the 36th Conference on Decision and Control , pp. 335-336
    • Kaczorek, T.1
  • 6
    • 28944446747 scopus 로고    scopus 로고
    • On the realization of 2D discrete systems by Fornasini-Machesini model[J]
    • L. Xu, L. Wu, Q. Wu, et al. On the realization of 2D discrete systems by Fornasini-Machesini model[J]. International Journal of Control, Automation and Systems, 2005, 3(4): 631-639.
    • (2005) International Journal of Control, Automation and Systems , vol.3 , Issue.4 , pp. 631-639
    • Xu, L.1    Wu, L.2    Wu, Q.3
  • 7
    • 34648817148 scopus 로고    scopus 로고
    • A new constructive procedure for 2-D coprime realization in Fornasini-Marchesini model[J]
    • L. Xu, Q. Wu, Z. Lin, et al. A new constructive procedure for 2-D coprime realization in Fornasini-Marchesini model[J]. IEEE Transactions on Circuits and Systems, 2007, 54(9): 2061-2069.
    • (2007) IEEE Transactions on Circuits and Systems , vol.54 , Issue.9 , pp. 2061-2069
    • Xu, L.1    Wu, Q.2    Lin, Z.3
  • 8
    • 26444581686 scopus 로고    scopus 로고
    • ∞ control for a class of uncertain nonlinear two-dimensional systems with state delays[J]
    • ∞ control for a class of uncertain nonlinear two-dimensional systems with state delays[J]. Journal of Franklin Institute, 2005, 342(7): 877-891.
    • (2005) Journal of Franklin Institute , vol.342 , Issue.7 , pp. 877-891
    • Xu, H.1    Zou, Y.2    Lu, J.3
  • 9
    • 33751215536 scopus 로고    scopus 로고
    • Analysis and control of the jump modes behavior of 2-D singular systems-Part I: Structural stability[J]
    • Y. Zou, W. Wang, S. Xu, et al. Analysis and control of the jump modes behavior of 2-D singular systems-Part I: Structural stability[J]. Systems & Control Letters, 2007, 56(1): 34-39.
    • (2007) Systems & Control Letters , vol.56 , Issue.1 , pp. 34-39
    • Zou, Y.1    Wang, W.2    Xu, S.3
  • 10
    • 33750981276 scopus 로고    scopus 로고
    • Analysis and control of the jump modes behavior of 2-D singular systems-Part II: Regular observer and compensator design[J]
    • Y. Zou, W. Wang, S. Xu, et al. Analysis and control of the jump modes behavior of 2-D singular systems-Part II: Regular observer and compensator design[J]. Systems & Control Letters, 2007, 56(1): 40-47.
    • (2007) Systems & Control Letters , vol.56 , Issue.1 , pp. 40-47
    • Zou, Y.1    Wang, W.2    Xu, S.3
  • 13
    • 0035157202 scopus 로고    scopus 로고
    • ∞ control of two-dimensional systems in Roesser model[J]
    • ∞ control of two-dimensional systems in Roesser model[J]. Automatica, 2001, 37(2): 205-211.
    • (2001) Automatica , vol.37 , Issue.2 , pp. 205-211
    • Yang, R.1    Xie, L.2    Zhang, C.3
  • 16
    • 0035121157 scopus 로고    scopus 로고
    • 2-D lattice discrete filters: Minimal delay and state space realization[J]
    • G. E. Antoniou. 2-D lattice discrete filters: Minimal delay and state space realization[J]. IEEE Signal Processing Letters, 2001, 8(1): 23-25.
    • (2001) IEEE Signal Processing Letters , vol.8 , Issue.1 , pp. 23-25
    • Antoniou, G.E.1
  • 17
    • 0027697278 scopus 로고
    • 2D discrete time lossless bounded real functions: Minimal state space realisation[J]
    • G. E. Antoniou. 2D discrete time lossless bounded real functions: Minimal state space realisation[J]. Electronics Letters, 1993, 29(23): 2008-2009.
    • (1993) Electronics Letters , vol.29 , Issue.23 , pp. 2008-2009
    • Antoniou, G.E.1
  • 20
    • 0022118582 scopus 로고
    • On some connection between BIBO and internal stability of two-dimensional filters[J]
    • M. Bisiacoco, E. Fornasini, G. Marchesini. On some connection between BIBO and internal stability of two-dimensional filters[J]. IEEE Transactions on Circuits and Systems, 1985, 32(9): 948-953.
    • (1985) IEEE Transactions on Circuits and Systems , vol.32 , Issue.9 , pp. 948-953
    • Bisiacoco, M.1    Fornasini, E.2    Marchesini, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.