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Volumn 19, Issue 3-4, 2008, Pages 323-359

A direct-construction approach to multidimensional realization and LFR uncertainty modeling

Author keywords

LFR; LFT; Minimal realization; Multidimensional systems; Realization; Roesser model; State space realization; Uncertainty modeling

Indexed keywords

MATRIX ALGEBRA;

EID: 53349100506     PISSN: 09236082     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11045-008-0057-0     Document Type: Article
Times cited : (68)

References (41)
  • 1
    • 0030652043 scopus 로고    scopus 로고
    • Minimality, controllability and observability for uncertain systems
    • New Mexico
    • Beck, C., & D'Andrea, R. (1997). Minimality, controllability and observability for uncertain systems. In Proceedings of ACC (pp. 3130-3135). New Mexico.
    • (1997) Proceedings of ACC , pp. 3130-3135
    • Beck, C.1    D'Andrea, R.2
  • 4
    • 0347807014 scopus 로고    scopus 로고
    • Multivariate matrix factorization: New results
    • Padova Italy
    • Bose N.K., Charoenlarpnopparut C. (1998) Multivariate matrix factorization: New results. In: (eds) In Proceedings of MTNS'98. Padova, Italy, pp 97-100
    • (1998) In Proceedings of MTNS'98. , pp. 97-100
    • Bose, N.K.1    Charoenlarpnopparut, C.2
  • 5
    • 26844438245 scopus 로고    scopus 로고
    • Gröbner bases: An algorithmic method in polynomial ideal theory, Chap. 4.
    • Kluwer Academic Publishers Dordrecht
    • Buchberger B. (2003). Gröbner bases: An algorithmic method in polynomial ideal theory, Chap. 4. In N. K. Bose (Ed.). Multidimensional systems theory and applications. Dordrecht: Kluwer Academic Publishers.
    • (2003) Multidimensional Systems Theory and Applications
    • Buchberger, B.1    Bose, N.K.2
  • 6
    • 0008432408 scopus 로고
    • A multidimensional realization algorithm for parametric uncertainty modelling and multiparameter margin problems
    • Y. Cheng B. DeMoor 1994 A multidimensional realization algorithm for parametric uncertainty modelling and multiparameter margin problems International Journal of Control 60 789 807
    • (1994) International Journal of Control , vol.60 , pp. 789-807
    • Cheng, Y.1    Demoor, B.2
  • 7
    • 53349153961 scopus 로고    scopus 로고
    • Multidimensional realizations of systems with parameter uncertainty
    • Perpignan, France, June 2000, Session si20a, 6 pages
    • Cockburn, J. C. (2000). Multidimensional realizations of systems with parameter uncertainty. In Proceedings of MTNS, Perpignan, France, June 2000, Session si20a, 6 pages.
    • (2000) Proceedings of MTNS
    • Cockburn, C.J.1
  • 8
    • 0031190276 scopus 로고    scopus 로고
    • Linear fractional representations of uncertain systems
    • J.C. Cockburn B.G. Morton 1997 Linear fractional representations of uncertain systems Automatica 33 1263 1271
    • (1997) Automatica , vol.33 , pp. 1263-1271
    • Cockburn, J.C.1    Morton, B.G.2
  • 9
    • 0030675453 scopus 로고    scopus 로고
    • Kalman decomposition of linear fractional transformation representations and minimality
    • New Mexico
    • D'Andrea, R., & Khatri, S. (1997). Kalman decomposition of linear fractional transformation representations and minimality. In Proceedings of ACC (pp. 3557-3561). New Mexico.
    • (1997) Proceedings of ACC , pp. 3557-3561
    • D'Andrea, R.1    Khatri, S.2
  • 10
    • 0018024042 scopus 로고
    • Realization and stabilization of 2-D systems
    • 5
    • R. Eising 1978 Realization and stabilization of 2-D systems IEEE Transactions on Automatic Control 23 5 793 799
    • (1978) IEEE Transactions on Automatic Control , vol.23 , pp. 793-799
    • Eising, R.1
  • 11
    • 0034652080 scopus 로고    scopus 로고
    • State-space realizations of MIMO 2-D discrete linear systems: Elementary operation and variable inversion approach
    • 3
    • K. Galkowski 2000 State-space realizations of MIMO 2-D discrete linear systems: Elementary operation and variable inversion approach International Journal of Control 73 3 242 253
    • (2000) International Journal of Control , vol.73 , pp. 242-253
    • Galkowski, K.1
  • 13
    • 0015642011 scopus 로고
    • Minimization of multidimensional linear iterative circuits
    • D. Givone R. Roesser 1973 Minimization of multidimensional linear iterative circuits IEEE Transactions on Computer 22 673 678
    • (1973) IEEE Transactions on Computer , vol.22 , pp. 673-678
    • Givone, D.1    Roesser, R.2
  • 14
    • 0020192573 scopus 로고
    • Polynomial matrix primitive factorization over arbitrary coefficient field and related results
    • J.P. Guiver N.K. Bose 1982 Polynomial matrix primitive factorization over arbitrary coefficient field and related results IEEE Transactions on Circuits and Systems: I 29 649 657
    • (1982) IEEE Transactions on Circuits and Systems: I , vol.29 , pp. 649-657
    • Guiver, J.P.1    Bose, N.K.2
  • 15
    • 34648829303 scopus 로고    scopus 로고
    • Causal and weak causal 2-D filter with applications in stabilization, Chap. 2
    • Kluwer Academic Publishers Dordrecht
    • Guiver J.P., Bose N.K. (2003) Causal and weak causal 2-D filter with applications in stabilization, Chap. 2. In: Bose K.(eds) Multidimensional systems theory and applications. Kluwer Academic Publishers, Dordrecht
    • (2003) Multidimensional Systems Theory and Applications
    • Guiver, J.P.1    Bose, N.K.2    Bose, K.3
  • 16
    • 53349174225 scopus 로고    scopus 로고
    • Generation of low order LFT representations for robust control applications
    • Hecker, S. (2007a). Generation of low order LFT representations for robust control applications. Fortschrittberichte VDI, series 8, no. 1114. Available at: http://mediatum2.ub.tum.de/doc/601652/601652.pdf.
    • (2007) Fortschrittberichte VDI, Series 8 , Issue.1114
    • Hecker, S.1
  • 17
    • 53349109474 scopus 로고    scopus 로고
    • Hecker, S. (2007b). Private correspondence via emails
    • Hecker, S. (2007b). Private correspondence via emails.
  • 18
    • 14544273517 scopus 로고    scopus 로고
    • Generalized LFT-based representation of parametric uncertain models
    • S. Hecker A. Varga 2004 Generalized LFT-based representation of parametric uncertain models European Journal of Control 4 326 337
    • (2004) European Journal of Control , vol.4 , pp. 326-337
    • Hecker, S.1    Varga, A.2
  • 19
    • 33747627602 scopus 로고    scopus 로고
    • Symbolic manipulation techniques for low order LFT-based parametric uncertainty modelling
    • 11
    • S. Hecker A. Varga 2006 Symbolic manipulation techniques for low order LFT-based parametric uncertainty modelling International Journal of Control 79 11 1485 1494
    • (2006) International Journal of Control , vol.79 , pp. 1485-1494
    • Hecker, S.1    Varga, A.2
  • 21
    • 0022793413 scopus 로고
    • State-feedback implementation of cascade compensators
    • A. Isidori A.S. Morse 1986 State-feedback implementation of cascade compensators Systems & Control Letters 8 63 68
    • (1986) Systems & Control Letters , vol.8 , pp. 63-68
    • Isidori, A.1    Morse, A.S.2
  • 23
    • 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
    • S.Y. Kung B.C. Levy M. Morf T. Kailath 1977 New results in 2-D systems theory, part II: 2-D state space models: Realization and the notions of controllability, observability and minimality Proceedings of IEEE 65 945 961
    • (1977) Proceedings of IEEE , vol.65 , pp. 945-961
    • Kung, S.Y.1    Levy, B.C.2    Morf, M.3    Kailath, T.4
  • 24
    • 0022097985 scopus 로고
    • Basic properties of q-dimensional linear digital systems
    • J.E. Kurek 1985 Basic properties of q-dimensional linear digital systems International Journal of Control 42 119 128
    • (1985) International Journal of Control , vol.42 , pp. 119-128
    • Kurek, J.E.1
  • 28
    • 34548826014 scopus 로고    scopus 로고
    • Revisiting the absolutely minimal realization for two-dimensional digital filters
    • Lin, Z., Xu, L., & Anazawa, Y. (2007). Revisiting the absolutely minimal realization for two-dimensional digital filters. Proceedings of ISCAS07, 597-600.
    • (2007) Proceedings of ISCAS07 , pp. 597-600
    • Lin, Z.1    Xu, L.2    Anazawa, Y.3
  • 30
    • 34249093516 scopus 로고    scopus 로고
    • A symbolic matrix decomposition algorithm for reduced order linear fractional transformation modelling
    • A. Marcos D.G. Bates I. Postlethwaite 2007 A symbolic matrix decomposition algorithm for reduced order linear fractional transformation modelling Automatica 43 1211 1218
    • (2007) Automatica , vol.43 , pp. 1211-1218
    • Marcos, A.1    Bates, D.G.2    Postlethwaite, I.3
  • 31
    • 0022304964 scopus 로고
    • New applications of to real-parameter variation problems
    • Florida
    • Morton, B. (1985). New applications of to real-parameter variation problems. In Proceedings CDC (pp. 233-238). Florida.
    • (1985) Proceedings CDC , pp. 233-238
    • Morton, B.1
  • 32
    • 0031078975 scopus 로고    scopus 로고
    • Multidimensional realization of large scale uncertain systems for multivariable stability margin computation
    • E.L. Russell C.P.H. Power R.D. Braatz 1997 Multidimensional realization of large scale uncertain systems for multivariable stability margin computation International Journal of Robust and Nonlinear Control 7 113 125
    • (1997) International Journal of Robust and Nonlinear Control , vol.7 , pp. 113-125
    • Russell, E.L.1    Power, C.P.H.2    Braatz, R.D.3
  • 33
    • 0343629241 scopus 로고
    • μ analysis/synthesis based on exact expression of physical parameter variations and its application
    • Sugie, T., & Kawanishi, M. (1995). μ analysis/synthesis based on exact expression of physical parameter variations and its application. Proceedings of ECC, 159-164.
    • (1995) Proceedings of ECC , pp. 159-164
    • Sugie, T.1    Kawanishi, M.2
  • 34
    • 0033313353 scopus 로고    scopus 로고
    • Symbolic and numerical software tools for LFT-based low order uncertainty modelling
    • Hawaii, USA
    • Varga, A., & Looye, G. (1999). Symbolic and numerical software tools for LFT-based low order uncertainty modelling. In Proceedings of IEEE CACSD (pp. 176-181). Hawaii, USA.
    • (1999) Proceedings of IEEE CACSD , pp. 176-181
    • Varga, A.1    Looye, G.2
  • 36
    • 67649112393 scopus 로고    scopus 로고
    • A constructive procedure for multidimensional realization and LFR uncertainty modelling
    • Kobe, Japan
    • Xu, L., Fan, H., Lin, Z., Xiao, Y., & Anazawa, Y. (2005). A constructive procedure for multidimensional realization and LFR uncertainty modelling. In Proceedings of ISCAS2005 (pp. 2044-2047). Kobe, Japan.
    • (2005) Proceedings of ISCAS2005 , pp. 2044-2047
    • Xu, L.1    Fan, H.2    Lin, Z.3    Xiao, Y.4    Anazawa, Y.5
  • 39
    • 0033100199 scopus 로고    scopus 로고
    • LFT representations of parameterized polynomial systems
    • E. Zerz 1999 LFT representations of parameterized polynomial systems IEEE Transactions on Circuits and Systems I 46 410 416
    • (1999) IEEE Transactions on Circuits and Systems i , vol.46 , pp. 410-416
    • Zerz, E.1
  • 40
    • 0005695080 scopus 로고    scopus 로고
    • Topics in multidimensional linear systems theory
    • London: Springer-Verlag
    • Zerz, E. (2000). Topics in Multidimensional Linear Systems Theory. Lecture Notes in Control and Information Sciences 256. London: Springer-Verlag.
    • (2000) Lecture Notes in Control and Information Sciences , vol.256
    • Zerz, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.