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Volumn 52, Issue 3, 2005, Pages 576-585

Controllability and reachability of 2-D positive systems: A graph theoretic approach

Author keywords

Controllability; Finite memory systems; Influence digraph; Reachability; Strong connectedness; Two dimensional (2 D) positive systems; Zero controllability

Indexed keywords

GRAPH THEORY; MATHEMATICAL MODELS; MATRIX ALGEBRA; STATE SPACE METHODS; SYSTEM THEORY;

EID: 16344374547     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2004.842872     Document Type: Article
Times cited : (59)

References (22)
  • 2
    • 0022204308 scopus 로고
    • "State and output feedback stabilizability of 2-D systems"
    • Dec
    • M. Bisiacco, "State and output feedback stabilizability of 2-D systems," IEEE Trans. Circuits Syst., vol. CAS-32, no. 12 pp. 1246-1249, Dec. 1985.
    • (1985) IEEE Trans. Circuits Syst. , vol.CAS-32 , Issue.12 , pp. 1246-1249
    • Bisiacco, M.1
  • 3
    • 0034391160 scopus 로고    scopus 로고
    • "Canonical forms for positive discrete-time linear control systems"
    • R. Bru, S. Romero, and E. Sanchéz, "Canonical forms for positive discrete-time linear control systems," Linear Linear Algebra Appl. vol. 310, pp. 49-71, 2000.
    • (2000) Linear Linear Algebra Appl. , vol.310 , pp. 49-71
    • Bru, R.1    Romero, S.2    Sanchéz, E.3
  • 5
    • 0026204150 scopus 로고
    • "A 2-D systems approach to river pollution modeling"
    • E. Fornasini, "A 2-D systems approach to river pollution modeling" Multidim. Syst. Signal Proc., vol. 2, pp. 233-265, 1991.
    • (1991) Multidim. Syst. Signal Proc. , vol.2 , pp. 233-265
    • Fornasini, E.1
  • 6
    • 34250287560 scopus 로고
    • "Doubly indexed dynamical systems"
    • E. Fornasini and G. Marchesini, "Doubly indexed dynamical systems," Math. Syst. Theory, vol. 12, pp. 59-72, 1978.
    • (1978) Math. Syst. Theory , vol.12 , pp. 59-72
    • Fornasini, E.1    Marchesini, G.2
  • 7
    • 16344362426 scopus 로고
    • "Global properties and duality in 2-D systems"
    • E. Fornasini and G. Marchesini, "Global properties and duality in 2-D systems," Syst. Contr. Lett., vol. 2, no. 1, pp. 30-38, 1982.
    • (1982) Syst. Contr. Lett. , vol.2 , Issue.1 , pp. 30-38
    • Fornasini, E.1    Marchesini, G.2
  • 8
    • 0041126501 scopus 로고
    • "Properties of pairs of matrices and state-models for 2-D systems"
    • C.R. Rao, Ed. Dordrecht, The Netherlands: North Holland
    • E. Fornasini and G. Marchesini, "Properties of pairs of matrices and state-models for 2-D systems," in Multivariate Analysis: Future Directions, C.R. Rao, Ed. Dordrecht, The Netherlands: North Holland, 1993, vol. 5, pp. 131-80.
    • (1993) Multivariate Analysis: Future Directions , vol.5 , pp. 131-180
    • Fornasini, E.1    Marchesini, G.2
  • 9
    • 0030492897 scopus 로고    scopus 로고
    • "On the spectral and combinatorial structure of 2-D positive systems"
    • E. Fornasini and M. E. Valcher, "On the spectral and combinatorial structure of 2-D positive systems," Lin. Alg. Appl., vol. 245, pp. 223-258, 1996.
    • (1996) Lin. Alg. Appl. , vol.245 , pp. 223-258
    • Fornasini, E.1    Valcher, M.E.2
  • 10
    • 0040689406 scopus 로고    scopus 로고
    • "Directed graphs, 2-D state models and characteristic polynomial of irreducible matrix pairs"
    • E. Fornasini and M. E. Valcher, "Directed graphs, 2-D state models and characteristic polynomial of irreducible matrix pairs," Lin. Alg. Appl., vol. 263, pp. 275-310, 1997.
    • (1997) Lin. Alg. Appl. , vol.263 , pp. 275-310
    • Fornasini, E.1    Valcher, M.E.2
  • 11
    • 0010672947 scopus 로고    scopus 로고
    • "Recent developments in 2-D positive system theory"
    • E. Fornasini and M. E. Valcher, "Recent developments in 2-D positive system theory," J. Appl. Math. Comp. Sci., vol. 7, no. 4, pp. 713-735, 1997.
    • (1997) J. Appl. Math. Comp. Sci. , vol.7 , Issue.4 , pp. 713-735
    • Fornasini, E.1    Valcher, M.E.2
  • 12
    • 0032355555 scopus 로고    scopus 로고
    • "Primitivity of positive matrix pairs: Algebraic characterization, graph-theoretic description and 2-D systems interpretation"
    • E. Fornasini and M. E. Valcher, "Primitivity of positive matrix pairs: Algebraic characterization, graph-theoretic description and 2-D systems interpretation," SIAM J. Matrix Anal. Appl., vol. 19, no. 1, pp. 71-88, 1998.
    • (1998) SIAM J. Matrix Anal. Appl. , vol.19 , Issue.1 , pp. 71-88
    • Fornasini, E.1    Valcher, M.E.2
  • 13
    • 21144432912 scopus 로고    scopus 로고
    • "On the positive reachability of 2-D positive systems"
    • L. Farina, L. Benvenuti, and A. De Santis, Eds. Berlin, Germany: Springer-Verlag
    • E. Fornasini and M. E. Valcher, "On the positive reachability of 2-D positive systems," in Positive Systems, L. Farina, L. Benvenuti, and A. De Santis, Eds. Berlin, Germany: Springer-Verlag, 2003, pp. 297-304.
    • (2003) Positive Systems , pp. 297-304
    • Fornasini, E.1    Valcher, M.E.2
  • 14
    • 16344385404 scopus 로고    scopus 로고
    • "Realization problem for positive 2-D Roesser type model"
    • T. Kaczorek, "Realization problem for positive 2-D Roesser type model," Bull. Polish Acad. Sci., Tech. Sci., vol. 45, no. 4, pp. 211-220, 1997.
    • (1997) Bull. Polish Acad. Sci., Tech. Sci. , vol.45 , Issue.4 , pp. 211-220
    • Kaczorek, T.1
  • 15
    • 0034408858 scopus 로고    scopus 로고
    • "Reachability and controllability of 2-D positive linear systems with state feedback"
    • T. Kaczorek, "Reachability and controllability of 2-D positive linear systems with state feedback," Contr. Cybern., vol. 29, no. 1, pp. 141-151, 2000.
    • (2000) Contr. Cybern. , vol.29 , Issue.1 , pp. 141-151
    • Kaczorek, T.1
  • 16
    • 16344365972 scopus 로고    scopus 로고
    • "Some recent developments in 1d and 2d positive systems"
    • [AU: CITY?], Poland
    • T. Kaczorek, "Some recent developments in 1d and 2d positive systems," in Proc. 2nd Int. Workshop Multidimensional (nD) Systems, [AU: CITY?], Poland, 2000, pp. 63-73.
    • (2000) Proc. 2nd Int. Workshop Multidimensional (nD) Systems , pp. 63-73
    • Kaczorek, T.1
  • 18
    • 0019476739 scopus 로고
    • "Positive realization of difference equations"
    • Jan
    • H. Maeda and S. Kodama, "Positive realization of difference equations" IEEE Trans. Circuits Syst., vol. CAS-28, no. 1, pp. 39-47, Jan. 1981.
    • (1981) IEEE Trans. Circuits Syst. , vol.CAS-28 , Issue.1 , pp. 39-47
    • Maeda, H.1    Kodama, S.2
  • 19
    • 0021370355 scopus 로고
    • "Two-dimensional state space discrete models for hyperbolic partial differential equations"
    • W. Marszalek, "Two-dimensional state space discrete models for hyperbolic partial differential equations," Appl. Math. Model., vol. 8, pp. 11-14, 1984.
    • (1984) Appl. Math. Model. , vol.8 , pp. 11-14
    • Marszalek, W.1
  • 20
    • 0030257917 scopus 로고    scopus 로고
    • "Controllability and reachability criteria for discrete time positive systems"
    • M.E. Valcher, "Controllability and reachability criteria for discrete time positive systems," Int. J. Control, vol. 65, pp. 511-536, 1996.
    • (1996) Int. J. Control , vol.65 , pp. 511-536
    • Valcher, M.E.1
  • 21
    • 0031192020 scopus 로고    scopus 로고
    • "On the internal stability and asymptotic behavior of 2-D positive systems"
    • Jun
    • M.E. Valcher, "On the internal stability and asymptotic behavior of 2-D positive systems," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 44, no. 6, pp. 602-613, Jun. 1997.
    • (1997) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.44 , Issue.6 , pp. 602-613
    • Valcher, M.E.1
  • 22
    • 0042375310 scopus 로고
    • "Un'applicazione dei sistemi 2-d alla modellistica dello scambio sangue-tessuto"
    • Ph.D. dissertation, Dept. Elect. Eng., Univ. Padova, Italy
    • S. Vomiero, "Un'applicazione dei sistemi 2-d alla modellistica dello scambio sangue-tessuto," Ph.D. dissertation, Dept. Elect. Eng., Univ. Padova, Italy, 1992.
    • (1992)
    • Vomiero, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.