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Volumn 39, Issue 1, 2003, Pages 167-171

On the stability of nonautonomous systems

Author keywords

Lyapunov functions; Nonlinear systems; Riccati equations; Semidefinite functions; Stability

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; LYAPUNOV METHODS; RICCATI EQUATIONS; SYSTEM STABILITY;

EID: 0037211022     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(02)00206-6     Document Type: Article
Times cited : (32)

References (16)
  • 1
    • 0032122952 scopus 로고    scopus 로고
    • A new asymptotic stability criterion for nonlinear time-variant differential equations
    • Aeyels D., Peuteman J. A new asymptotic stability criterion for nonlinear time-variant differential equations. IEEE Transaction on Automatic Control. 43:1998;968-971.
    • (1998) IEEE Transaction on Automatic Control , vol.43 , pp. 968-971
    • Aeyels, D.1    Peuteman, J.2
  • 2
    • 0026993929 scopus 로고
    • Stability for dynamical systems with first integrals: A topological criterion
    • Aeyels D., Sepulchre R. Stability for dynamical systems with first integrals. A topological criterion Systems & Control Letters. 19:1992;461-465.
    • (1992) Systems & Control Letters , vol.19 , pp. 461-465
    • Aeyels, D.1    Sepulchre, R.2
  • 6
    • 0030414465 scopus 로고    scopus 로고
    • Semidefinite Lyapunov functions: Stability and stabilization
    • Iggidr A., Kalitine B., Outbib R. Semidefinite Lyapunov functions. Stability and stabilization MCSS. 9:1996;95-106.
    • (1996) MCSS , vol.9 , pp. 95-106
    • Iggidr, A.1    Kalitine, B.2    Outbib, R.3
  • 8
    • 0011778536 scopus 로고
    • Sur la stabilité des ensembles compacts positivement invariants des systèmes dynamiques
    • Kalitine B. Sur la stabilité des ensembles compacts positivement invariants des systèmes dynamiques. RAIRO Automatique/Systems Analysis and Control. 16(3):1982;275-286.
    • (1982) RAIRO Automatique/Systems Analysis and Control , vol.16 , Issue.3 , pp. 275-286
    • Kalitine, B.1
  • 9
    • 21344436094 scopus 로고
    • On the method of Lyapunov functions of constant sign for nonautonomous differential systems
    • translated from Differetsial'nye Uravneniya
    • Kalitine B. On the method of Lyapunov functions of constant sign for nonautonomous differential systems. Differential Equations. 31(4):1995;541-548. (translated from Differetsial'nye Uravneniya).
    • (1995) Differential Equations , vol.31 , Issue.4 , pp. 541-548
    • Kalitine, B.1
  • 10
    • 0004005501 scopus 로고
    • Problems of the theory of stability of motion
    • Moscow, 1959. Stanford, CA: Stanford University Press
    • Krasovski, N.N. (1959). Problems of the theory of stability of motion. Translation of the Russian edition, Moscow, 1959. Stanford, CA: Stanford University Press, 1963.
    • (1959) Translation of the Russian edition
    • Krasovski, N.N.1
  • 11
    • 0015360370 scopus 로고
    • A contribution to matrix quadratic equations
    • Kucera V. A contribution to matrix quadratic equations. IEEE Transaction on Automatic Control. 17(3):1972;344-347.
    • (1972) IEEE Transaction on Automatic Control , vol.17 , Issue.3 , pp. 344-347
    • Kucera, V.1
  • 16
    • 0011730735 scopus 로고
    • Linear multivariable control - A geometric approach
    • (3rd ed.). New York: Springer
    • Wonham, W.M. (1985). Linear multivariable control - A geometric approach. Applications of mathematics, Vol. 10 (3rd ed.). New York: Springer.
    • (1985) Applications of mathematics , vol.10
    • Wonham, W.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.