Computer Generated Lyapunov Functions for Interconnected Systems: Improved Results with Applications to Power Systems

Anthony N. Michel; B. H. Nam; Vijay Vittal

doi:10.1109/TCS.1984.1085483

Computer Generated Lyapunov Functions for Interconnected Systems: Improved Results with Applications to Power Systems

Anthony N. Michel, B. H. Nam, Vijay Vittal

Research output: Contribution to journal › Article › peer-review

45 Scopus citations

Abstract

We establish new results to analyze the stability of interconnected systems and to obtain estimates for the domain of attraction of asymptotically stable equilibrium points in interconnected systems by making use of the constructive algorithm due to Brayton and Tong [1]. These results are applied in the stability analysis of interconnected power systems. In doing so, we introduce a new Lyapunov function in the analysis of power systems.

Original language	English (US)
Pages (from-to)	189-198
Number of pages	10
Journal	IEEE transactions on circuits and systems
Volume	31
Issue number	2
DOIs	https://doi.org/10.1109/TCS.1984.1085483
State	Published - Feb 1984
Externally published	Yes

ASJC Scopus subject areas

General Engineering

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10.1109/TCS.1984.1085483

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title = "Computer Generated Lyapunov Functions for Interconnected Systems: Improved Results with Applications to Power Systems",

abstract = "We establish new results to analyze the stability of interconnected systems and to obtain estimates for the domain of attraction of asymptotically stable equilibrium points in interconnected systems by making use of the constructive algorithm due to Brayton and Tong [1]. These results are applied in the stability analysis of interconnected power systems. In doing so, we introduce a new Lyapunov function in the analysis of power systems.",

author = "Michel, {Anthony N.} and Nam, {B. H.} and Vijay Vittal",

year = "1984",

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doi = "10.1109/TCS.1984.1085483",

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AU - Michel, Anthony N.

AU - Nam, B. H.

AU - Vittal, Vijay

PY - 1984/2

Y1 - 1984/2

N2 - We establish new results to analyze the stability of interconnected systems and to obtain estimates for the domain of attraction of asymptotically stable equilibrium points in interconnected systems by making use of the constructive algorithm due to Brayton and Tong [1]. These results are applied in the stability analysis of interconnected power systems. In doing so, we introduce a new Lyapunov function in the analysis of power systems.

AB - We establish new results to analyze the stability of interconnected systems and to obtain estimates for the domain of attraction of asymptotically stable equilibrium points in interconnected systems by making use of the constructive algorithm due to Brayton and Tong [1]. These results are applied in the stability analysis of interconnected power systems. In doing so, we introduce a new Lyapunov function in the analysis of power systems.

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JO - IEEE transactions on circuits and systems

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Computer Generated Lyapunov Functions for Interconnected Systems: Improved Results with Applications to Power Systems

Abstract

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