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Volumn 41, Issue 4, 2000, Pages 237-249

Remarks regarding the gap between continuous, Lipschitz, and differentiable storage functions for dissipation inequalities appearing in H∞ control

Author keywords

Dissipation inequalities; H control; Lyapunov functions; Stability; Storage functions; Viscosity solutions

Indexed keywords


EID: 0001161185     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(00)00060-8     Document Type: Article
Times cited : (15)

References (23)
  • 3
    • 0002864702 scopus 로고    scopus 로고
    • Regularity of Lyapunov functions for stable systems
    • A. Bacciotti, L. Rosier, Regularity of Lyapunov functions for stable systems, Systems Control Lett. 41 (2000) 265-270, this issue.
    • (2000) Systems Control Lett. , vol.41 , Issue.THIS ISSUE , pp. 265-270
    • Bacciotti, A.1    Rosier, L.2
  • 8
    • 84968507121 scopus 로고
    • Some properties of viscosity solutions of Hamilton-Jacobi equations
    • M.G. Crandall, L.C. Evans, P.L. Lions, Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 282 (1984) 487-502.
    • (1984) Trans. Amer. Math. Soc. , vol.282 , pp. 487-502
    • Crandall, M.G.1    Evans, L.C.2    Lions, P.L.3
  • 12
  • 13
    • 0019020679 scopus 로고
    • Dissipative dynamical systems: Basic input-output and state properties
    • D.J. Hill, P. Moylan, Dissipative dynamical systems: Basic input-output and state properties, J. Franklin Inst. 5 (1980) 327-357.
    • (1980) J. Franklin Inst. , vol.5 , pp. 327-357
    • Hill, D.J.1    Moylan, P.2
  • 14
    • 0026927363 scopus 로고
    • ∞-control via measurement feedback in nonlinear systems
    • ∞-control via measurement feedback in nonlinear systems, IEEE Trans. Automat. Control 37 (1992) 1283-1293.
    • (1992) IEEE Trans. Automat. Control , vol.37 , pp. 1283-1293
    • Isidori, A.1    Astolfi, A.2
  • 15
    • 0027684440 scopus 로고
    • A partial differential inequality for dissipative nonlinear systems
    • M.R. James, A partial differential inequality for dissipative nonlinear systems, Systems Control Lett. 21 (1993) 315-320.
    • (1993) Systems Control Lett. , vol.21 , pp. 315-320
    • James, M.R.1
  • 16
    • 0033331640 scopus 로고    scopus 로고
    • Input-output-to-state stability
    • to appear
    • M. Krichman, E.D. Sontag, Y. Wang, Input-output-to-state stability, SIAM J. Control Optim., to appear. (See also Lyapunov characterizations of input-ouput-to-state stability, Proceedings of IEEE Conference on Decision and Control, Phoenix, December 1999, IEEE Publications, 1999, pp. 2070-2075.)
    • SIAM J. Control Optim.
    • Krichman, M.1    Sontag, E.D.2    Wang, Y.3
  • 17
    • 0033331640 scopus 로고    scopus 로고
    • Lyapunov characterizations of input-ouput-to-state stability
    • Phoenix, December 1999, IEEE Publications
    • M. Krichman, E.D. Sontag, Y. Wang, Input-output-to-state stability, SIAM J. Control Optim., to appear. (See also Lyapunov characterizations of input-ouput-to-state stability, Proceedings of IEEE Conference on Decision and Control, Phoenix, December 1999, IEEE Publications, 1999, pp. 2070-2075.)
    • (1999) Proceedings of IEEE Conference on Decision and Control , pp. 2070-2075
  • 18
    • 0029775547 scopus 로고    scopus 로고
    • A smooth converse Lyapunov theorem for robust stability
    • Y. Lin, E.D. Sontag, Y. Wang, A smooth converse Lyapunov theorem for robust stability, SIAM J. Control Optim. 34 (1996) 124-160.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 124-160
    • Lin, Y.1    Sontag, E.D.2    Wang, Y.3
  • 19
    • 0002849329 scopus 로고    scopus 로고
    • Smooth Lyapunov functions for discontinuous stable systems
    • L. Rosier, Smooth Lyapunov functions for discontinuous stable systems, Set Valued Anal. 7 (1999) 375-405.
    • (1999) Set Valued Anal. , vol.7 , pp. 375-405
    • Rosier, L.1
  • 20
    • 0002415375 scopus 로고    scopus 로고
    • Stability and stabilization: Discontinuities and the effect of disturbances
    • F.H. Clarke, R.J. Stern (Eds.), Montreal July/August Kluwer, Dordrecht
    • E.D. Sontag, Stability and stabilization: discontinuities and the effect of disturbances, in: F.H. Clarke, R.J. Stern (Eds.), Proceedings of the NATO ASI Nonlinear Analysis, Differential Equations and Control, Montreal July/August 1998; Kluwer, Dordrecht, 1999, pp. 551-598.
    • (1998) Proceedings of the NATO ASI Nonlinear Analysis, Differential Equations and Control , pp. 551-598
    • Sontag, E.D.1
  • 21
    • 0029358183 scopus 로고
    • Changing supply functions in input/state stable systems
    • E.D. Sontag, A. Teel, Changing supply functions in input/state stable systems, IEEE Trans. Automat. Control 40 (1995) 1476-1478.
    • (1995) IEEE Trans. Automat. Control , vol.40 , pp. 1476-1478
    • Sontag, E.D.1    Teel, A.2
  • 23
    • 34250464350 scopus 로고
    • Dissipative dynamical systems. Parts I and II
    • J.C. Willems, Dissipative dynamical systems. Parts I and II, Arch. Rational Mech. Anal. 45 (1972) 321-393.
    • (1972) Arch. Rational Mech. Anal. , vol.45 , pp. 321-393
    • Willems, J.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.