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Volumn 49, Issue 10, 2004, Pages 1815-1820

Noncommuting multidimensional realization theory: Minimality, reachability, and observability

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROLLABILITY; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; OBSERVABILITY; THEOREM PROVING;

EID: 7244225205     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2004.835582     Document Type: Article
Times cited : (20)

References (23)
  • 1
    • 0029375928 scopus 로고
    • ∞ control of linear parameter-varying systems: A design example
    • ∞ control of linear parameter-varying systems: A design example," Automatica., vol. 31, pp. 1251-1261, 1995.
    • (1995) Automatica , vol.31 , pp. 1251-1261
    • Apkarian, P.1    Gahinet, P.2    Becker, G.3
  • 2
    • 0033321099 scopus 로고    scopus 로고
    • A new approach for analysis and synthesis of time-varying systems
    • July
    • G. E. Dullerud and S. Lall, "A new approach for analysis and synthesis of time-varying systems," IEEE Trans. Automat. Contr., vol. 44, pp. 1486-1497, July 1999.
    • (1999) IEEE Trans. Automat. Contr. , vol.44 , pp. 1486-1497
    • Dullerud, G.E.1    Lall, S.2
  • 3
    • 0033285443 scopus 로고    scopus 로고
    • Linear matrix inequalities, multidimensional system optimization, and control of spatially distributed systems: An example
    • R. D'Andrea, "Linear matrix inequalities, multidimensional system optimization, and control of spatially distributed systems: An example," in Proc. IEEE Control Decision Conf., 1999, pp. 2713-2717.
    • (1999) Proc. IEEE Control Decision Conf. , pp. 2713-2717
    • D'Andrea, R.1
  • 4
    • 0141750576 scopus 로고    scopus 로고
    • Distributed control of spatially interconnected systems
    • Aug
    • R. D'Andrea and G. E. Dullerud, "Distributed control of spatially interconnected systems," IEEE Trans. Automat. Contr., vol. 48, pp. 1479-1495, Aug. 2003.
    • (2003) IEEE Trans. Automat. Contr. , vol.48 , pp. 1479-1495
    • D'Andrea, R.1    Dullerud, G.E.2
  • 5
    • 0030652043 scopus 로고    scopus 로고
    • Minimality, controllability, and observability for uncertain systems
    • C. Beck and R. D'Andrea, "Minimality, controllability, and observability for uncertain systems," in Proc. Amer. Control Conf., 1997, pp. 3130-3135.
    • (1997) Proc. Amer. Control Conf. , pp. 3130-3135
    • Beck, C.1    D'Andrea, R.2
  • 6
    • 0030675453 scopus 로고    scopus 로고
    • Kalman decomposition of linear fractional transformation representations and minimality
    • R. D'Andrea and S. Khatri, "Kalman decomposition of linear fractional transformation representations and minimality," in Proc. Amer. Control Conf., 1997, pp. 3557-3561.
    • (1997) Proc. Amer. Control Conf. , pp. 3557-3561
    • D'Andrea, R.1    Khatri, S.2
  • 8
    • 0018996737 scopus 로고
    • On the problems of constructing minimal realizations for two-dimensional filters
    • Feb
    • E. Fornasini and G. Marchesini, "On the problems of constructing minimal realizations for two-dimensional filters," IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-2, pp. 172-176, Feb. 1980.
    • (1980) IEEE Trans. Pattern Anal. Machine Intell. , vol.PAMI-2 , pp. 172-176
    • Fornasini, E.1    Marchesini, G.2
  • 9
    • 0016990738 scopus 로고
    • State-space realization theory of two-dimensional filters
    • Apr
    • E. Fornasini, "State-space realization theory of two-dimensional filters," IEEE Trans. Automat. Contr., vol. AC-21, pp. 484-491, Apr. 1976.
    • (1976) IEEE Trans. Automat. Contr. , vol.AC-21 , pp. 484-491
    • Fornasini, E.1
  • 10
    • 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
    • Sept
    • S. Kung, B. Lévy, M. Morf, and T. Kailath, "New results in 2-D systems theory. Part II: 2-D state-space models - Realization and the notions of controllability, observability, and minimality," Proc. IEEE, vol. 65, pp. 945-961, Sept. 1977.
    • (1977) Proc. IEEE , vol.65 , pp. 945-961
    • Kung, S.1    Lévy, B.2    Morf, M.3    Kailath, T.4
  • 11
    • 0015419824 scopus 로고
    • Minimization of multidimensional linear iterative circuits - General properties
    • Sept
    • D. Givone and R. Roesser, "Minimization of multidimensional linear iterative circuits - General properties," IEEE Trans. Comput., vol. C-21, pp. 1067-1073, Sept. 1972.
    • (1972) IEEE Trans. Comput. , vol.C-21 , pp. 1067-1073
    • Givone, D.1    Roesser, R.2
  • 12
    • 0018468268 scopus 로고
    • Realization theory of discrete-time nonlinear systems: Part I - The bounded case
    • Mar
    • E. Sontag, "Realization theory of discrete-time nonlinear systems: Part I - The bounded case," IEEE Trans. Circuits Syst., vol. CAS-26, pp. 342-356, Mar. 1979.
    • (1979) IEEE Trans. Circuits Syst. , vol.CAS-26 , pp. 342-356
    • Sontag, E.1
  • 13
    • 0017973825 scopus 로고
    • On the relevance of noncommutative power series in spatial filters realization
    • Feb
    • E. Fornasini, "On the relevance of noncommutative power series in spatial filters realization," IEEE Trans. Circuits Syst., vol. CAS-25, pp. 290-299, Feb. 1978.
    • (1978) IEEE Trans. Circuits Syst. , vol.CAS-25 , pp. 290-299
    • Fornasini, E.1
  • 14
    • 0015725260 scopus 로고
    • Direct construction of minimal bilinear realizations from nonlinear input-output maps
    • June
    • A. Isidori, "Direct construction of minimal bilinear realizations from nonlinear input-output maps," IEEE Trans. Automat. Contr., vol. AC-18, pp. 626-631, June 1973.
    • (1973) IEEE Trans. Automat. Contr. , vol.AC-18 , pp. 626-631
    • Isidori, A.1
  • 15
    • 0018754272 scopus 로고
    • The realization problem for sampled, recursive, multidimensional filters
    • M. Fliess, "The realization problem for sampled, recursive, multidimensional filters," Inform. Control, vol. 43, no. 3, pp. 338-355, 1979.
    • (1979) Inform. Control , vol.43 , Issue.3 , pp. 338-355
    • Fliess, M.1
  • 16
    • 7244232070 scopus 로고
    • Sur la réalization des systèmes dynamiques biliné ares
    • M. Fliess, "Sur la réalization des systèmes dynamiques bilinéares," C.R. Acad. Sci., vol. A-277, pp. 923-926, 1973.
    • (1973) C.R. Acad. Sci. , vol.A-277 , pp. 923-926
    • Fliess, M.1
  • 18
    • 0033331760 scopus 로고    scopus 로고
    • A necessary and sufficient minimality condition for uncertain systems
    • Sept
    • C. L. Beck and J. C. Doyle, "A necessary and sufficient minimality condition for uncertain systems," IEEE Trans. Automat. Contr., vol. 44, pp. 1802-1813, Sept. 1999.
    • (1999) IEEE Trans. Automat. Contr. , vol.44 , pp. 1802-1813
    • Beck, C.L.1    Doyle, J.C.2
  • 19
    • 0027591532 scopus 로고
    • Necessary and sufficient conditions of stability: A multiloop generalization of the circle criterion
    • May
    • A. Megretski, "Necessary and sufficient conditions of stability: A multiloop generalization of the circle criterion," IEEE Trans. Automat. Control, vol. 38, pp. 753-756, May 1993.
    • (1993) IEEE Trans. Automat. Control , vol.38 , pp. 753-756
    • Megretski, A.1
  • 20
    • 0028412889 scopus 로고
    • Robust stability with time-varying structured uncertainty
    • Apr
    • J. Shamma, "Robust stability with time-varying structured uncertainty," IEEE Trans. Automat. Control, vol. 39, pp. 714-724, Apr. 1994.
    • (1994) IEEE Trans. Automat. Control , vol.39 , pp. 714-724
    • Shamma, J.1
  • 22
    • 84859775833 scopus 로고    scopus 로고
    • ver. 1.05
    • J. F. Sturm, (2001) SeDuMi, ver. 1.05. [Online]. Available: http://fewcal.kub.nl/sturm/software/sedumi.html.
    • (2001) SeDuMi
    • Sturm, J.F.1
  • 23
    • 0033331676 scopus 로고    scopus 로고
    • Software for modeling, analysis, and control design for multidimensional systems
    • R. D'Andrea, "Software for modeling, analysis, and control design for multidimensional systems," in Proc. IEEE Int. Symp. Computer-Aided Control System Design, 1999, pp. 24-27.
    • (1999) Proc. IEEE Int. Symp. Computer-Aided Control System Design , pp. 24-27
    • D'Andrea, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.