Baillieul, John; Byrnes, Christopher I. Geometric critical point analysis of lossless power system models. (English) Zbl 0523.93046 IEEE Trans. Circuits Syst. 29, 724-737 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 16 Documents MSC: 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory 58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces 90B10 Deterministic network models in operations research 93C10 Nonlinear systems in control theory 93C15 Control/observation systems governed by ordinary differential equations 93A15 Large-scale systems 94C05 Analytic circuit theory 34D20 Stability of solutions to ordinary differential equations Keywords:power systems; load flow equations; electric power network; Morse inequalities; Bezout’s theorem PDFBibTeX XMLCite \textit{J. Baillieul} and \textit{C. I. Byrnes}, IEEE Trans. Circuits Syst. 29, 724--737 (1982; Zbl 0523.93046) Full Text: DOI