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International Journal of Control Volume 24, 1976 - Issue 4
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Original Articles

General aggregation of large-scale systems by-vector Lyapunov functions and vector norms

LJ. T. GRUJIĆ Mechanical Engineering Department, University of Belgrade, P.O. Box 174, Belgrade, 11001, Yugoslavia
,
J. C. GENTINA Institut Industriel du Nord, D.U.S.V.A, Villeneuve d'Ascq, 59650, France
&
P. BORNE Laboratoire de Systématique. Bt. P2-D.U.S.V.A, Villeneuve d'Ascq, 59650, France
Pages 529-550 | Received 01 Oct 1975, Published online: 24 Apr 2007

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W. PERRUQUETTI, J. P. RICHARD, LJ. T. GRUJIĆ & P. BORNE. (1995) On practical stability with the settling time via vector norms. International Journal of Control 62:1, pages 173-189.
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LJUBOMIRT. GRUJIĆ. (1992) Exact determination of a Lyapunov function and the asymptotic stability domain. International Journal of Systems Science 23:11, pages 1871-1888.
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LJUBOMIRT. GRUJIĆ. (1979) Singular perturbations, large-scale systems and asymptotic stability of invariant sets. International Journal of Systems Science 10:12, pages 1323-1341.
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D. MEIZEL & J. C. GENTINA. (1979) New aspects on linear and non-linear single-input single-output systems. International Journal of Control 30:6, pages 1043-1060.
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AMI ARBEL & EDISON TSE. (1979) Reduced-order models, canonical forms and observers† . International Journal of Control 30:3, pages 513-531.
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LJUBOMIRT. GRUJIĆ. (1978) Solutions for the Lurie-Postnikov and Aizerman problems. International Journal of Systems Science 9:12, pages 1359-1372.
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Samer Riachy, Yuri Orlov, Thierry Floquet, Raul Santiesteban & Jean-Pierre Richard. (2008) Second-order sliding mode control of underactuated mechanical systems I: Local stabilization with application to an inverted pendulum. International Journal of Robust and Nonlinear Control 18:4-5, pages 529-543.
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P. Borne & J.-Y. Dieulot. (2005) Fuzzy systems and controllers: Lyapunov tools for a regionwise approach. Nonlinear Analysis: Theory, Methods & Applications 63:5-7, pages 653-665.
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J.-Y. Dieulot & P. Borne. (2001) An estimation of the stability domain of a fuzzy controlled pendulum using overlapping attractors and vector norms. An estimation of the stability domain of a fuzzy controlled pendulum using overlapping attractors and vector norms.
W. Perruquetti, P. Borne & J.-P. Richard. (1999) A two-step control design for robust stabilization of uncertain, nonlinear systems. IFAC Proceedings Volumes 32:2, pages 2018-2023.
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J.P. Richard & P. Borne. 1992. Concise Encyclopedia of Modelling & Simulation. Concise Encyclopedia of Modelling & Simulation 448 455 .
Jan Lunze. (1989) Stability analysis of large-scale systems composed of strongly coupled similar subsystems. Automatica 25:4, pages 561-570.
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J. Lunze. (1987) Stability Analysis of Large Scale Systems Composed of Strongly Coupled Similar Subsystems. IFAC Proceedings Volumes 20:5, pages 7-12.
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. 1987. Large Scale Systems Stability under Structural and Singular Perturbations. Large Scale Systems Stability under Structural and Singular Perturbations 263 359 .
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I. Zambettakis, J. P. Richard & F. Rotella. 1984. Multivariable Control. Multivariable Control 125 148 .
Lj.B. Jocić. (1981) On the attractivity of imbedded systems. Automatica 17:6, pages 853-860.
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J. Bízik, D. Mudrončík & J. Murgaš. (1981) Stability and stability region estimation of large-scale power systems. Electric Power Systems Research 4:3, pages 225-233.
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P. Borne & M. Benrejeb. (1977) On the stability of a class of interconnected systems. Application to the forced working conditions. IFAC Proceedings Volumes 10:6, pages 261-265.
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