IEEE Transactions on Automatic Control · 2006 · 283 citations · 13 references
Nonlinear ControlTime Delay SystemEngineeringRobust ControlMathematical Control TheorySystems EngineeringNonlinear SystemsBackstepping DesignFeedback FormLyapunov AnalysisNonlinear Mechanical SystemBackstepping ApproachStability
The backstepping approach is adapted to the problem of globally uniformly asymptotically stabilizing nonlinear systems in feedback form with a delay arbitrarily large in the input. The strategy of design relies on the construction of a Lyapunov-Krasovskii functional. Continuously differentiable control laws are constructed.
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Jack K. Hale, N. N. Krasovskiĭ, J. L. Brenner · American Mathematical Monthly · 1964 · 571 citations