Geometric critical point analysis of lossless power system models

DOI10.1109/TCS.1982.1085093zbMath0523.93046MaRDI QIDQ3037271

John Baillieul, Christopher I. Byrnes

Publication date: 1982

Published in: IEEE Transactions on Circuits and Systems (Search for Journal in Brave)

zbMATH Keywords

Morse inequalitiespower systemsBezout's theoremload flow equationselectric power network

Mathematics Subject Classification ID

Deterministic network models in operations research (90B10) Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Stability of solutions to ordinary differential equations (34D20) Analytic circuit theory (94C05) Control/observation systems governed by ordinary differential equations (93C15) Large-scale systems (93A15)

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