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Volumn 69, Issue 11, 2008, Pages 4012-4024

On some iterations for optimal control of jump linear equations

Author keywords

Coupled algebraic Riccati equations; Lyapunov iterations; Newton's method; Positive semidefinite matrix

Indexed keywords

DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; INTERSECTIONS; ITERATIVE METHODS; LINEAR SYSTEMS; MATRIX ALGEBRA; NUMERICAL ANALYSIS; RICCATI EQUATIONS;

EID: 53949110561     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.10.034     Document Type: Article
Times cited : (25)

References (14)
  • 1
    • 0000702303 scopus 로고    scopus 로고
    • Well-posedness and attainability of indefinite stochastic linear quadratic control in infinite time horizon
    • Rami M.A., Zhou X.Y., and Moore J.B. Well-posedness and attainability of indefinite stochastic linear quadratic control in infinite time horizon. Systems Control Lett. 41 (2000) 123-133
    • (2000) Systems Control Lett. , vol.41 , pp. 123-133
    • Rami, M.A.1    Zhou, X.Y.2    Moore, J.B.3
  • 2
    • 0036334529 scopus 로고    scopus 로고
    • Indefinite stochastic linear quadratic control and generalized differential Riccati equation
    • Rami M.A., Moore J.B., and Zhou X.Y. Indefinite stochastic linear quadratic control and generalized differential Riccati equation. SIAM J. Control Optim. 40 (2001) 1296-1311
    • (2001) SIAM J. Control Optim. , vol.40 , pp. 1296-1311
    • Rami, M.A.1    Moore, J.B.2    Zhou, X.Y.3
  • 3
    • 0742284369 scopus 로고    scopus 로고
    • On a class of rational matrix differential equations arising in stochastic control
    • Freiling G., and Hochhaus A. On a class of rational matrix differential equations arising in stochastic control. Linear Algebra Appl. 379 (2004) 43-68
    • (2004) Linear Algebra Appl. , vol.379 , pp. 43-68
    • Freiling, G.1    Hochhaus, A.2
  • 4
    • 33750410046 scopus 로고    scopus 로고
    • An algorithm for solving a perturbed algebraic Riccati equation
    • Costa E., and do Val J. An algorithm for solving a perturbed algebraic Riccati equation. Eur. J. Control 10 (2004) 576-580
    • (2004) Eur. J. Control , vol.10 , pp. 576-580
    • Costa, E.1    do Val, J.2
  • 5
    • 0029406643 scopus 로고
    • Lyapunov iterations for optimal control of jump linear systems at steady state
    • Gajic Z., and Borno I. Lyapunov iterations for optimal control of jump linear systems at steady state. IEEE Trans. Automat. Control 40 (1995) 1971-1975
    • (1995) IEEE Trans. Automat. Control , vol.40 , pp. 1971-1975
    • Gajic, Z.1    Borno, I.2
  • 6
    • 0242460383 scopus 로고    scopus 로고
    • Monotonicity of algebraic Lyapunov iterations for optimal control of jump parameter linear systems
    • Gajic Z., and Losada R. Monotonicity of algebraic Lyapunov iterations for optimal control of jump parameter linear systems. Systems Control Lett. 41 (2000) 175-181
    • (2000) Systems Control Lett. , vol.41 , pp. 175-181
    • Gajic, Z.1    Losada, R.2
  • 7
    • 0035426962 scopus 로고    scopus 로고
    • Newton's method for a rational matrix equation occurring in stochastic control
    • Damm T., and Hinrichsen D. Newton's method for a rational matrix equation occurring in stochastic control. Linear Algebra Appl. 332-334 (2001) 81-109
    • (2001) Linear Algebra Appl. , vol.332-334 , pp. 81-109
    • Damm, T.1    Hinrichsen, D.2
  • 8
    • 0033132921 scopus 로고    scopus 로고
    • Solution of the state-dependent noise optimal control problem in terms of Lyapunov iterations
    • Gajic Z., and Losada R. Solution of the state-dependent noise optimal control problem in terms of Lyapunov iterations. Automatica 35 (1999) 951-954
    • (1999) Automatica , vol.35 , pp. 951-954
    • Gajic, Z.1    Losada, R.2
  • 9
    • 33750408327 scopus 로고    scopus 로고
    • Iterative solution of a matrix Riccati equation arising in stochastic control
    • Guo C. Iterative solution of a matrix Riccati equation arising in stochastic control. Oper. Theory Adv. Appl. 130 (2001) 209-221
    • (2001) Oper. Theory Adv. Appl. , vol.130 , pp. 209-221
    • Guo, C.1
  • 12
    • 34248390880 scopus 로고    scopus 로고
    • Iterations for solving a rational Riccati equation arising in stochastic control
    • Ivanov I. Iterations for solving a rational Riccati equation arising in stochastic control. Comput. Math. Appl. 53 (2007) 977-988
    • (2007) Comput. Math. Appl. , vol.53 , pp. 977-988
    • Ivanov, I.1
  • 13
    • 0033269095 scopus 로고    scopus 로고
    • Solutions for the linear quadratic control problem of Markov jump linear systems
    • do Val J.B., Geromel J.C., and Costa O.L.V. Solutions for the linear quadratic control problem of Markov jump linear systems. J. Optim. Theory Appl. 103 2 (1999) 283-311
    • (1999) J. Optim. Theory Appl. , vol.103 , Issue.2 , pp. 283-311
    • do Val, J.B.1    Geromel, J.C.2    Costa, O.L.V.3
  • 14
    • 0002256901 scopus 로고
    • Random difference equations in control theory
    • Bharucha-Ried A. (Ed), Academic, New York
    • Wonham W. Random difference equations in control theory. In: Bharucha-Ried A. (Ed). Probabilistic Methods in Applied Mathematics (1971), Academic, New York 131-212
    • (1971) Probabilistic Methods in Applied Mathematics , pp. 131-212
    • Wonham, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.