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Volumn 54, Issue 5, 2007, Pages 1142-1149

Positive realness and absolute stability problem of descriptor systems

Author keywords

Absolute stability; Descriptor systems; Linear matrix inequality (LMI); Positive realness

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; FEEDBACK CONTROL; FREQUENCY DOMAIN ANALYSIS; LINEAR MATRIX INEQUALITIES; NUMERICAL METHODS; SYSTEM STABILITY;

EID: 34248654391     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2007.895516     Document Type: Article
Times cited : (47)

References (25)
  • 1
    • 84987227252 scopus 로고
    • Explicit construction of qudratic Lyapunov functions for the small gain, positivity, circle and Popov theorems and their application to robust stability. Part I: Continous-time theory
    • W. M. Haddad and D. S. Bernstein, "Explicit construction of qudratic Lyapunov functions for the small gain, positivity, circle and Popov theorems and their application to robust stability. Part I: Continous-time theory," Int. J. Robust Nonlinear Control, vol. 3, no. 4, pp. 313-339, 1993.
    • (1993) Int. J. Robust Nonlinear Control , vol.3 , Issue.4 , pp. 313-339
    • Haddad, W.M.1    Bernstein, D.S.2
  • 2
    • 84987189283 scopus 로고
    • Explicit construction of qudratic 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 qudratic 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, no. 2, pp. 249-265, 1994.
    • (1994) Int. J. Robust Nonlinear Control , vol.4 , Issue.2 , pp. 249-265
    • Haddad, W.M.1    Bernstein, D.S.2
  • 3
    • 0037400635 scopus 로고    scopus 로고
    • Looking for nonnegative solutions of a Leontief dynamic model
    • M. S. Silva and T. P. De Lima, "Looking for nonnegative solutions of a Leontief dynamic model," Linear Algebra and Its Applications, vol. 364, no. 1, pp. 281-316, 2003.
    • (2003) Linear Algebra and Its Applications , vol.364 , Issue.1 , pp. 281-316
    • Silva, M.S.1    De Lima, T.P.2
  • 5
    • 0010735630 scopus 로고    scopus 로고
    • Linear mechanical descriptor systems: Identification, analysis and design
    • Belfort, France, May
    • P. C. Muller, "Linear mechanical descriptor systems: Identification, analysis and design," in Preprints of IFAC Conf. Control of Industrial Syst., Belfort, France, May 1997, pp. 501-506.
    • (1997) Preprints of IFAC Conf. Control of Industrial Syst , pp. 501-506
    • Muller, P.C.1
  • 6
    • 0021563031 scopus 로고
    • Controllability, observability, and duality in singular systems
    • Dec
    • D. Cobb, "Controllability, observability, and duality in singular systems," IEEE Trans. Automat. Contr., vol. AC-29, no. 12, pp. 1076-1082, Dec. 1984.
    • (1984) IEEE Trans. Automat. Contr , vol.AC-29 , Issue.12 , pp. 1076-1082
    • Cobb, D.1
  • 7
    • 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. AC-32, no. 8, pp. 672-688, Aug. 1987.
    • (1987) IEEE Trans. Automat. Contr , vol.AC-32 , Issue.8 , pp. 672-688
    • Bender, D.J.1    Laub, A.J.2
  • 8
    • 0033348945 scopus 로고    scopus 로고
    • Linear quadratic optimal control for linear implicit system
    • Dec
    • K. Takaba, "Linear quadratic optimal control for linear implicit system," in Proc. 38th IEEE Decision Control Conf., Dec. 1999, vol. 4, pp. 4074-4079.
    • (1999) Proc. 38th IEEE Decision Control Conf , vol.4 , pp. 4074-4079
    • Takaba, K.1
  • 9
    • 0032598250 scopus 로고    scopus 로고
    • Lyapunov inequality and bounded real lemma for discrrete-time descriptor systems
    • Jul
    • K. Hsiung and L. Lee, "Lyapunov inequality and bounded real lemma for discrrete-time descriptor systems," Proc. Inst. Elect. Eng. Control Theory Appl., vol. 146, no. 4, pp. 327-331, Jul. 1999.
    • (1999) Proc. Inst. Elect. Eng. Control Theory Appl , vol.146 , Issue.4 , pp. 327-331
    • Hsiung, K.1    Lee, L.2
  • 10
    • 0031108713 scopus 로고    scopus 로고
    • H ∞ control for descriptor systems: A matrix inequalities approach
    • Apr
    • I. Masubuchi, Y. Kamitane, A. Ohara, and N. Suda, " H ∞ control for descriptor systems: A matrix inequalities approach," Automatica, vol. 33, no. 4, pp. 669-673, Apr. 1997.
    • (1997) Automatica , vol.33 , Issue.4 , pp. 669-673
    • Masubuchi, I.1    Kamitane, Y.2    Ohara, A.3    Suda, N.4
  • 11
    • 0032072846 scopus 로고    scopus 로고
    • Bounded real lemma and H ∞ control for descriptor systems
    • May
    • H. S. Wang, C. F. Yung, and F. R. Chang, "Bounded real lemma and H ∞ control for descriptor systems," Proc. Inst. Elect. Eng. Control Theory Appl., vol. 145, no. 3, pp. 316-322, May 1998.
    • (1998) Proc. Inst. Elect. Eng. Control Theory Appl , vol.145 , Issue.3 , pp. 316-322
    • Wang, H.S.1    Yung, C.F.2    Chang, F.R.3
  • 12
    • 0030358966 scopus 로고    scopus 로고
    • The generalized state-space description of positive realness and bounded realness
    • Aug
    • 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 Syst., Aug. 1996, vol. 2, pp. 893-896.
    • (1996) Proc. IEEE 39th Midwest Symp. Circuits Syst , vol.2 , pp. 893-896
    • Wang, H.S.1    Chang, F.R.2
  • 14
    • 0038494829 scopus 로고    scopus 로고
    • Strictly positive real lemma and absolute stability for discrete-time descriptor systems
    • Jun
    • L. Lee and J. L. Chen, "Strictly positive real lemma and absolute stability for discrete-time descriptor systems," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 50, no. 6, pp. 788-794, Jun. 2003.
    • (2003) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.50 , Issue.6 , pp. 788-794
    • Lee, L.1    Chen, J.L.2
  • 16
    • 0033097607 scopus 로고    scopus 로고
    • Design of strictly positive real systems using constant output feedback
    • Mar
    • C. H. Huang, P. A. Ioannou, and M. G. Safonov, "Design of strictly positive real systems using constant output feedback," IEEE Trans. Automat. Contr., vol. 44, no. 3, pp. 569-573, Mar. 1999.
    • (1999) IEEE Trans. Automat. Contr , vol.44 , Issue.3 , pp. 569-573
    • Huang, C.H.1    Ioannou, P.A.2    Safonov, M.G.3
  • 17
    • 0028526539 scopus 로고
    • Solution to the positive real control problem for linear time-invariant systems
    • Oct
    • W. Sun, P. P. Khargonekar, and D. Shim, "Solution to the positive real control problem for linear time-invariant systems," IEEE Trans. Automat. Contr., vol. 39, no. 10, pp. 2034-2046, Oct. 1994.
    • (1994) IEEE Trans. Automat. Contr , vol.39 , Issue.10 , pp. 2034-2046
    • Sun, W.1    Khargonekar, P.P.2    Shim, D.3
  • 18
    • 0022945161 scopus 로고
    • A survey of linear singular systems
    • E. L. Lewis, "A survey of linear singular systems," Circuits, Syst. Signal Process., vol. 5, no. 1, pp. 3-36, 1986.
    • (1986) Circuits, Syst. Signal Process , vol.5 , Issue.1 , pp. 3-36
    • Lewis, E.L.1
  • 20
    • 0032115333 scopus 로고    scopus 로고
    • 2 output feedback control for descriptor systems
    • Jul
    • 2 output feedback control for descriptor systems," Automatica, vol. 34, no. 7, pp. 841-850, Jul. 1998.
    • (1998) Automatica , vol.34 , Issue.7 , pp. 841-850
    • Takaba, K.1    Katayama, T.2
  • 22
    • 0036836976 scopus 로고    scopus 로고
    • Absolute stability criteria with prescribed decay rate for finite-dimensional and delay systems
    • Nov
    • P. A. Bliman, "Absolute stability criteria with prescribed decay rate for finite-dimensional and delay systems," Automatica, vol. 38, no. 11, pp. 2015-2019, Nov. 2002.
    • (2002) Automatica , vol.38 , Issue.11 , pp. 2015-2019
    • Bliman, P.A.1
  • 25
    • 0022807843 scopus 로고
    • Partial exponential stability of semi-state systems
    • V. B. Bajic, "Partial exponential stability of semi-state systems," Int. J. Contr., vol. 44, no. 5, pp. 1383-1394, 1986.
    • (1986) Int. J. Contr , vol.44 , Issue.5 , pp. 1383-1394
    • Bajic, V.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.