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Volumn 69, Issue 3, 1998, Pages 443-457

On construction of smooth Lyapunov functions for non-smooth systems

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; FUNCTIONS; SYSTEM STABILITY; VECTORS;

EID: 0032002738     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071798222758     Document Type: Article
Times cited : (37)

References (15)
  • 5
    • 0002299780 scopus 로고
    • Differential equations with discontinuous right-hand side
    • (English translation: 1964, American Mathematical Society Translations, 42, 191-231); 1979, Differential equations with second members discontinuous on intersecting surfaces. Differentsial’nye Uravneniya, 15, 1814-1832. (English translation: 1980, Differential Equations, 15, 1292-1299)
    • Filippov, A. F., 1960, Differential equations with discontinuous right-hand side. Math. Sbornik, 51, 99-128. (English translation: 1964, American Mathematical Society Translations, 42, 191-231); 1979, Differential equations with second members discontinuous on intersecting surfaces. Differentsial’nye Uravneniya, 15, 1814-1832. (English translation: 1980, Differential Equations, 15, 1292-1299).
    • (1960) Math. Sbornik , vol.51 , pp. 99-128
    • Filippov, A.F.1
  • 7
    • 0023123261 scopus 로고
    • A calculus for computing Filippov’s differential inclusion with application to the variable structure control of robot manipulators
    • Paden, B. E., and Sastry, S. S., 1987, A calculus for computing Filippov’s differential inclusion with application to the variable structure control of robot manipulators. IEEE Transactions on Circuits and Systems, 34, 73-82.
    • (1987) IEEE Transactions on Circuits and Systems , vol.34 , pp. 73-82
    • Paden, B.E.1    Sastry, S.S.2
  • 9
    • 0020799551 scopus 로고
    • Tracking control of nonlinear systems using sliding surfaces, with application to robot manipulators
    • Slotine, J. J., and Sastry, S. S., 1983, Tracking control of nonlinear systems using sliding surfaces, with application to robot manipulators. International Journal of Control, 38, 465-492.
    • (1983) International Journal of Control , vol.38 , pp. 465-492
    • Slotine, J.J.1    Sastry, S.S.2
  • 10
    • 3643053449 scopus 로고
    • On the stability in the sense of Lyapunov of the equilibrium positions of a system of two differential equations in the case of discontinuous right-hand sides
    • Solncev, Yu. K., 1951, On the stability in the sense of Lyapunov of the equilibrium positions of a system of two differential equations in the case of discontinuous right-hand sides. Moskovski Gos. Univeritet, Uchenve Zapiski, 148, 144-180.
    • (1951) Moskovski Gos. Univeritet, Uchenve Zapiski , vol.148 , pp. 144-180
    • Solncev, Y.K.1
  • 12
    • 0001752817 scopus 로고
    • Variable structure control of robot manipulators with nonlinear sliding manifolds
    • Stepanenko, Y., and Su, C., 1993, Variable structure control of robot manipulators with nonlinear sliding manifolds. International Journal of Control, 58, 285-300.
    • (1993) International Journal of Control , vol.58 , pp. 285-300
    • Stepanenko, Y.1    Su, C.2
  • 13
    • 0017478092 scopus 로고
    • Variable structure systems with sliding modes
    • 1992, Sliding Modes in Control and Optimization (Berlin: Springer-Verlag)
    • Utkin, V. I., 1977, Variable structure systems with sliding modes. IEEE Transactions on Automatic Control, 22, 212-222; 1992, Sliding Modes in Control and Optimization (Berlin: Springer-Verlag).
    • (1977) IEEE Transactions on Automatic Control , vol.22 , pp. 212-222
    • Utkin, V.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.