Output Tracking for Nonlinear Systems with Singular Points

DOI10.1137/0325030zbMath0624.93008OpenAlexW2087883536MaRDI QIDQ3026818

Jon H. Davis, Ronald Hirschorn

Publication date: 1987

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0325030

zbMATH Keywords

nonlinear systemssingular pointinvertibilityoutput tracking

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Controllability of vector fields on (C^infty) and real-analytic manifolds (57R27)

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Finite dimensional approximation to muscular response in force-fatigue dynamics using functional electrical stimulation ⋮ Geometrical and topological methods in optimal control theory ⋮ Observability of smooth control systems ⋮ Non-linear predictive control by inversion: discontinuities for critical behaviour ⋮ Global output tracking for a class of single-input single-output non-linear systems ⋮ The directional anti-derivative about a point: existence conditions and some applications ⋮ On the singular tracking problem ⋮ Switching through singularities ⋮ Tracking through singularities using sliding mode differentiators ⋮ A new Lyapunov design approach for nonlinear systems based on Zubov's method ⋮ Tracking through singularities: Regularity of the control

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