메뉴 건너뛰기




Volumn 44, Issue 2, 2008, Pages 504-511

Uniqueness conditions for the affine open-loop linear quadratic differential game

Author keywords

Affine systems; Linear quadratic games; Open loop Nash equilibrium; Riccati equations; Solvability conditions

Indexed keywords

BOUNDARY CONDITIONS; RICCATI EQUATIONS;

EID: 37849035437     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2007.06.006     Document Type: Article
Times cited : (30)

References (23)
  • 1
    • 0027677254 scopus 로고
    • Necessary and sufficient conditions for constant solutions of coupled Riccati equations in Nash games
    • Abou-Kandil H., Freiling G., and Jank G. Necessary and sufficient conditions for constant solutions of coupled Riccati equations in Nash games. Systems & Control Letters 21 (1993) 295-306
    • (1993) Systems & Control Letters , vol.21 , pp. 295-306
    • Abou-Kandil, H.1    Freiling, G.2    Jank, G.3
  • 5
    • 0020173111 scopus 로고
    • Nonexistence and nonuniqueness of open-loop equilibria in linear-quadratic differential games
    • Eisele T. Nonexistence and nonuniqueness of open-loop equilibria in linear-quadratic differential games. Journal of Optimization Theory and Applications 37 4 (1982) 443-468
    • (1982) Journal of Optimization Theory and Applications , vol.37 , Issue.4 , pp. 443-468
    • Eisele, T.1
  • 7
    • 0038597347 scopus 로고    scopus 로고
    • Computational aspects of the open-loop Nash equilibrium in LQ-games
    • Engwerda J.C. Computational aspects of the open-loop Nash equilibrium in LQ-games. Journal of Economic Dynamics and Control 22 (1998) 1487-1506
    • (1998) Journal of Economic Dynamics and Control , vol.22 , pp. 1487-1506
    • Engwerda, J.C.1
  • 8
    • 37849035322 scopus 로고    scopus 로고
    • Engwerda, J. C. (2005a) The open-loop linear quadratic differential game revisited. CentER Discussion Paper 2005-34, Tilburg University, The Netherlands.
  • 10
    • 37849032176 scopus 로고    scopus 로고
    • Engwerda, J. C. (2005c). Addendum "Errors in LQ dynamic optimization and differential games". 〈http://center.uvt.nl/staff/engwerda/books/framefoutjes.pdf〉.
  • 11
    • 33847209225 scopus 로고    scopus 로고
    • Engwerda, J. C. (2005d). Uniqueness conditions for the infinite-planning horizon open-loop linear quadratic differential game. In E. F. Camacho, et al. (Eds.), Proceedings of the 44th IEEE conference on decision and control and European control conference ECC'05, Seville, Spain (pp. 3507-3512). ISBN 0-7803-9568-9, CD-rom.
  • 13
    • 37849046251 scopus 로고    scopus 로고
    • Feucht, M. (1994). Linear-quadratische Differentialspiele und gekoppelte Riccatische Matrixdifferentialgleichungen. Ph.D. thesis, Germany: Universität Ulm.
  • 14
    • 0021413623 scopus 로고
    • On the global asymptotic stability of equilibrium solutions for open-loop differential games
    • Haurie A., and Leitmann G. On the global asymptotic stability of equilibrium solutions for open-loop differential games. Large Scale Systems 6 (1984) 107-122
    • (1984) Large Scale Systems , vol.6 , pp. 107-122
    • Haurie, A.1    Leitmann, G.2
  • 15
    • 37849006251 scopus 로고    scopus 로고
    • Kremer, D. (2002). Non-symmetric Riccati theory and noncooperative games. Ph.D. thesis, Germany: RWTH-Aachen.
  • 16
    • 37849002965 scopus 로고    scopus 로고
    • Kremer, D., & Stefan, R. (2002). Non-symmetric Riccati theory and linear quadratic Nash games. In Proceedings of MTNS 2002 conference. USA: University of Notre Dame.
  • 18
  • 19
    • 37849012363 scopus 로고    scopus 로고
    • Plasmans, J., Engwerda, J., van Aarle, B., Di Bartolomeo, B., & Michalak, T. (2006). Dynamic modeling of monetary and fiscal cooperation among nations. Dynamic modeling and econometrics in economics and finance (vol. 8). Berlin: Springer.
  • 21
    • 0024480121 scopus 로고
    • The regular free-endpoint linear quadratic problem with indefinite cost
    • Trentelman H.L. The regular free-endpoint linear quadratic problem with indefinite cost. SIAM Journal on Control and Optimization 27 (1989) 27-42
    • (1989) SIAM Journal on Control and Optimization , vol.27 , pp. 27-42
    • Trentelman, H.L.1
  • 22
    • 37849045978 scopus 로고    scopus 로고
    • Weeren, A. J. T. M. (1995). Coordination in hierarchical control. Ph.D. thesis. The Netherlands: Tilburg University.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.