메뉴 건너뛰기




Volumn 50, Issue 6, 2003, Pages 788-794

Strictly positive real lemma and absolute stability for discrete-time descriptor systems

Author keywords

Discrete time descriptor systems; Linear matrix inequality (LMI); Strictly positive realness (SPR)

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; COMPUTER SIMULATION; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS);

EID: 0038494829     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2003.812617     Document Type: Article
Times cited : (58)

References (30)
  • 1
    • 0000430077 scopus 로고
    • Discrete positive-real functions and their application to system stability
    • L. Hitz and B. D. O. Anderson, "Discrete positive-real functions and their application to system stability," Proc. Inst. Elect. Eng., vol. 116, pp. 153-155, 1969.
    • (1969) Proc. Inst. Elect. Eng. , vol.116 , pp. 153-155
    • Hitz, L.1    Anderson, B.D.O.2
  • 4
    • 0032163025 scopus 로고    scopus 로고
    • Concepts of strict positive realness and the absolute stability problem of continuous-time systems
    • C. Xiao and D. J. Hill, "Concepts of strict positive realness and the absolute stability problem of continuous-time systems," Automatica, vol. 24, pp. 1071-1082, 1998.
    • (1998) Automatica , vol.24 , pp. 1071-1082
    • Xiao, C.1    Hill, D.J.2
  • 7
    • 0026221926 scopus 로고
    • Robust stabilization with positive real uncertainty: Beyond the small gain theorem
    • W. M. Haddad and D. S. Bernstein, "Robust stabilization with positive real uncertainty: Beyond the small gain theorem," Syst. Contr. Lett., vol. 17, pp. 191-208, 1991.
    • (1991) Syst. Contr. Lett. , vol.17 , pp. 191-208
    • Haddad, W.M.1    Bernstein, D.S.2
  • 8
    • 0001076547 scopus 로고
    • A system theory criterion for positive real matrices
    • B. D. O. Anderson, "A system theory criterion for positive real matrices," J. SIAM Contr., vol. 5, pp. 171-182, 1967.
    • (1967) J. SIAM Contr. , vol.5 , pp. 171-182
    • Anderson, B.D.O.1
  • 9
    • 0025507124 scopus 로고
    • Necessary and sufficient conditions for strictly positive real matrices
    • pt. G
    • G. Tao and P. A. Ioannou, "Necessary and sufficient conditions for strictly positive real matrices," Proc. Inst. Elect. Eng. pt. G, vol. 137, pp. 360-366, 1990.
    • (1990) Proc. Inst. Elect. Eng. , vol.137 , pp. 360-366
    • Tao, G.1    Ioannou, P.A.2
  • 10
    • 84987189283 scopus 로고
    • Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and Popov theorems and their application to robust stability. Part II: Discrete-time theory
    • W. M. Haddad and D. S. Bernstein, "Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and Popov theorems and their application to robust stability. Part II: Discrete-time theory," Int. J. Robust Nonlinear Control, vol. 4, pp. 249-265, 1994.
    • (1994) Int. J. Robust Nonlinear Control , vol.4 , pp. 249-265
    • Haddad, W.M.1    Bernstein, D.S.2
  • 11
    • 0032652043 scopus 로고    scopus 로고
    • Generalizations and new proof of the discrete-time positive real lemma and bounded real lemma
    • June
    • C. Xiao and D. J. Hill, "Generalizations and new proof of the discrete-time positive real lemma and bounded real lemma," IEEE Trans. Circuits Syst. I, vol. 46, pp. 740-743, June 1999.
    • (1999) IEEE Trans. Circuits Syst. I , vol.46 , pp. 740-743
    • Xiao, C.1    Hill, D.J.2
  • 12
    • 0034157153 scopus 로고    scopus 로고
    • Positive real analysis and synthesis of uncertain discrete time systems
    • Mar.
    • M. S. Mahmoud and L. H. Xie, "Positive real analysis and synthesis of uncertain discrete time systems," IEEE Trans. Circuits Syst. I, vol. 47, pp. 403-406, Mar. 2000.
    • (2000) IEEE Trans. Circuits Syst. I , vol.47 , pp. 403-406
    • Mahmoud, M.S.1    Xie, L.H.2
  • 14
  • 16
    • 0021563031 scopus 로고
    • Controllability, observability, and duality in singular systems
    • Dec.
    • J. D. Cobb, "Controllability, observability, and duality in singular systems," IEEE Trans. Automat. Contr., vol. AC-29, pp. 1076-1082, Dec. 1984.
    • (1984) IEEE Trans. Automat. Contr. , vol.AC-29 , pp. 1076-1082
    • Cobb, J.D.1
  • 17
    • 0023399637 scopus 로고
    • The linear-quadratic optimal regulator for descriptor systems
    • Aug.
    • D. J. Bender and A. J. Laub, "The linear-quadratic optimal regulator for descriptor systems," IEEE Trans. Automat. Contr., vol. 32, pp. 672-688, Aug. 1987.
    • (1987) IEEE Trans. Automat. Contr. , vol.32 , pp. 672-688
    • Bender, D.J.1    Laub, A.J.2
  • 18
    • 0033348945 scopus 로고    scopus 로고
    • Linear quadratic optimal control for linear implicit system
    • K. Takaba, "Linear quadratic optimal control for linear implicit system," in Proc. IEEE 38th Circuits Devices Conf., vol. 4, 1999, pp. 4074-4079.
    • (1999) Proc. IEEE 38th Circuits Devices Conf. , vol.4 , pp. 4074-4079
    • Takaba, K.1
  • 19
    • 0028549653 scopus 로고
    • Robust control analysis and design for discrete-time singular systems
    • C. H. Fang, L. Lee, and F. R. Chang, "Robust control analysis and design for discrete-time singular systems," Automatica, vol. 30, pp. 1741-1750, 1994.
    • (1994) Automatica , vol.30 , pp. 1741-1750
    • Fang, C.H.1    Lee, L.2    Chang, F.R.3
  • 21
    • 0034223927 scopus 로고    scopus 로고
    • ∞ state feedback control for discrete singular systems
    • July
    • ∞ state feedback control for discrete singular systems," IEEE Trans. Automat. Contr., vol. 45, pp. 1405-1409, July 2000.
    • (2000) IEEE Trans. Automat. Contr. , vol.45 , pp. 1405-1409
    • Xu, S.1    Yang, C.2
  • 22
    • 0001034556 scopus 로고    scopus 로고
    • Robustness of uncertain descriptor systems
    • C. Lin, J. Wang, D. Wang, and C. B. Soh, "Robustness of uncertain descriptor systems," Syst. Contr. Lett., vol. 31, pp. 129-138, 1997.
    • (1997) Syst. Contr. Lett. , vol.31 , pp. 129-138
    • Lin, C.1    Wang, J.2    Wang, D.3    Soh, C.B.4
  • 23
    • 0032115333 scopus 로고    scopus 로고
    • ∞ output feedback control for descriptor systems
    • ∞ output feedback control for descriptor systems," Automatica, vol. 34, pp. 841-850, 1998.
    • (1998) Automatica , vol.34 , pp. 841-850
    • Takaba, K.1    Katayama, T.2
  • 24
    • 0030358966 scopus 로고    scopus 로고
    • The generalized state-space description of positive realness and bounded realness
    • H. S. Wang and F. R. Chang, "The generalized state-space description of positive realness and bounded realness," in Proc. IEEE 39th Midwest Symp. Circuits and Systems, vol. 2, 1997, pp. 893-896.
    • (1997) Proc. IEEE 39th Midwest Symp. Circuits and Systems , vol.2 , pp. 893-896
    • Wang, H.S.1    Chang, F.R.2
  • 25
    • 0032598250 scopus 로고    scopus 로고
    • Lyapunov inequality and bounded real lemma for discrete-time descriptor systems
    • K. L. Hsiung and L. Lee, "Lyapunov inequality and bounded real lemma for discrete-time descriptor systems," Proc. Inst. Elect. Eng. Control Theory Applicat., vol. 146, pp. 327-331, 1999.
    • (1999) Proc. Inst. Elect. Eng. Control Theory Applicat. , vol.146 , pp. 327-331
    • Hsiung, K.L.1    Lee, L.2
  • 26
    • 0026398123 scopus 로고
    • The importance of bounded real and positive real functions in the stability analysis of 2-D system
    • P. Agathoklis, E. I. Jury, and M. Mansour, "The importance of bounded real and positive real functions in the stability analysis of 2-D system," in Proc. IEEE Symp. Circuits and System, vol. 1, 1991, pp. 124-127.
    • (1991) Proc. IEEE Symp. Circuits and System , vol.1 , pp. 124-127
    • Agathoklis, P.1    Jury, E.I.2    Mansour, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.