Poincaré's index in problems of control and optimization

zbMath0853.47030MaRDI QIDQ1914105

A. M. Dement'eva, N. A. Bobylev, Alexander M. Krasnosel'skii

Publication date: 6 June 1996

Published in: Automation and Remote Control (Search for Journal in Brave)

zbMATH Keywords

stabilityperiodic solutiontopological degreeoscillationsvariational problemssmooth mapfinite-dimensional manifoldsPoincaré's index

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Degree theory for nonlinear operators (47H11) Fixed-point theorems on manifolds (58C30) Control/observation systems governed by ordinary differential equations (93C15)

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