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Volumn 39, Issue 8, 1994, Pages 1631-1636

Solution and Asymptotic Behavior of Coupled Riccati Equations in Jump Linear Systems

Author keywords

[No Author keywords available]

Indexed keywords

COUPLED RICCATI EQUATIONS; JUMP LINEAR SYSTEMS; LANDAU SYMBOL; RICCATI INEQUALITY;

EID: 0028494290     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/9.310038     Document Type: Article
Times cited : (96)

References (17)
  • 1
    • 0001682716 scopus 로고
    • Analytical design of controllers in systems with random attributes
    • Parts I–III
    • N. N. Krasovskii and E. Lidskii, “Analytical design of controllers in systems with random attributes,” Parts I—III, Automat Remote Contr., no. 22, pp. 1021–1025, 1141–1146, 1289–1294, 1961.
    • (1961) Automat Remote Contr. , Issue.22 , pp. 1021-1025
    • Krasovskii, N.N.1    Lidskii, E.2
  • 2
    • 84930581460 scopus 로고
    • Feedback control of a class of liner systems with jump parameters
    • Feb.
    • D. D. Sworder, “Feedback control of a class of liner systems with jump parameters,” IEEE Trans. Automat. Contr., vol. AC-14, pp. 9–14, Feb. 1969.
    • (1969) IEEE Trans. Automat. Contr. , vol.AC-14 , pp. 9-14
    • Sworder, D.D.1
  • 3
    • 0002256901 scopus 로고
    • Random differential equations in control theory
    • (A. T. Bharucha-Reid, Ed.). New York : Academic
    • W. M. Wonham, “Random differential equations in control theory,” in Probalistic Methods in Applied Mathematics (A. T. Bharucha-Reid, Ed.). New York: Academic, 1970, vol. 2, pp. 131–212.
    • (1970) Probalistic Methods in Applied Mathematics , vol.2 , pp. 131-212
    • Wonham, W.M.1
  • 5
    • 0025464943 scopus 로고
    • Controllability, stabilizability, and continuous-time time markovian jump linear quadratic control
    • Y. Ji and H. J. Chizeck, “Controllability, stabilizability, and continuous-time time markovian jump linear quadratic control,” IEEE Trans. Automat. Contr., vol. 35, pp. 777–789, 1990.
    • (1990) IEEE Trans. Automat. Contr. , vol.35 , pp. 777-789
    • Ji, Y.1    Chizeck, H.J.2
  • 6
  • 7
    • 0022135889 scopus 로고
    • A homotopy algorithm for solving coupled Riccati equations
    • M. Mariton and P. Bertrand, “A homotopy algorithm for solving coupled Riccati equations,” Opt. Contr. Applications Methods, vol. 6, pp. 351–357, 1985.
    • (1985) Opt. Contr. Applications Methods , vol.6 , pp. 351-357
    • Mariton, M.1    Bertrand, P.2
  • 9
    • 0022043995 scopus 로고
    • Monotonicity of maximal solutions of algebraic Riccati equations
    • H. K. Wimmer, “Monotonicity of maximal solutions of algebraic Riccati equations,” Syst. Contr. Len., vol. 5, pp. 317–319, 1985.
    • (1985) Syst. Contr. Len. , vol.5 , pp. 317-319
    • Wimmer, H.K.1
  • 11
    • 0001042840 scopus 로고
    • On a matrix Riccati equation of a stochastic control
    • W. M. Wonham, “On a matrix Riccati equation of a stochastic control,” SIAM J. Contr., vol. 6, no. 4, pp. 681–697, 1968.
    • (1968) SIAM J. Contr. , vol.6 , Issue.4 , pp. 681-697
    • Wonham, W.M.1
  • 12
    • 0026885673 scopus 로고
    • Difference and differential Riccati equations: Note on the convergence to the strong solution
    • G. de Nicolao and M. Gevers, “Difference and differential Riccati equations: Note on the convergence to the strong solution,” IEEE Trans. Automat. Contr., vol. 37, pp. 1055–1057, 1992.
    • (1992) IEEE Trans. Automat. Contr. , vol.37 , pp. 1055-1057
    • de Nicolao, G.1    Gevers, M.2
  • 13
    • 0022148885 scopus 로고
    • Robust jump linear quadratic control: A mode stabilizing solution
    • M. Mariton and P. Bertrand, “Robust jump linear quadratic control: A mode stabilizing solution,” IEEE Trans. Automat. Contr., vol. AC-30, pp. 1145–1147, 1985.
    • (1985) IEEE Trans. Automat. Contr. , vol.AC-30 , pp. 1145-1147
    • Mariton, M.1    Bertrand, P.2
  • 14
    • 0022811882 scopus 로고
    • Comments on 'Robust jump linear quadratic control: A mode stabilizing solution
    • W. E. Hopkins, Jr., “Comments on ‘Robust jump linear quadratic control: A mode stabilizing solution’,” IEEE Trans. Automat. Contr., vol. AC-31, pp. 1079–1081, 1986.
    • (1986) IEEE Trans. Automat. Contr. , vol.AC-31 , pp. 1079-1081
    • Hopkins, W.E.1
  • 15
    • 0025399388 scopus 로고
    • On the existence of maximal solution for generalized algebraic Riccati equations arising in stochastic control
    • C. E. de Souza and M. D. Fragoso, “On the existence of maximal solution for generalized algebraic Riccati equations arising in stochastic control,” Syst. Contr. Leo., vol. 14, pp. 233–239, 1990.
    • (1990) Syst. Contr. Leo. , vol.14 , pp. 233-239
    • deSouza, C.E.1    Fragoso, M.D.2
  • 16
    • 0024053742 scopus 로고
    • Defect Correction Methods for the Solution of Algebraic Riccati Equations
    • V. Mehrmann and E. Tan, “Defect Correction Methods for the Solution of Algebraic Riccati Equations,” IEEE Trans. Automat. Contr., vol. AC-33, pp. 695–698, 1988.
    • (1988) IEEE Trans. Automat. Contr. , vol.AC-33 , pp. 695-698
    • Mehrmann, V.1    Tan, E.2
  • 17
    • 0000847242 scopus 로고
    • A chart of numerical methods for structured eigenvalue problems
    • A. Bunse-Gerstner, R. Byrnes, and V. Mehrmann, “A chart of numerical methods for structured eigenvalue problems,” SIAM.I. Matrix Anal. Appl., vol. 13, pp. 419–453, 1992.
    • (1992) SIAM.I. Matrix Anal. Appl. , vol.13 , pp. 419-453
    • Bunse-Gerstner, A.1    Byrnes, R.2    Mehrmann, V.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.