SIAM Journal on Control and Optimization · 2000 · 14 citations · 6 references
Natural SciencesMathematicsDynamical SystemsOptimizationStochastic ProcessesControl TheoryMethod Of MomentsNonlinear ControlOptimal ControlStochastic ControlStochastic OptimizationNonlinear Optimal ControlOptimal Control FormulationOptimal Control Of Nonlinear SystemsOptimal Control Of Stochastic SystemsStationary Point AnalysisStationary Point ProcessesTime-optimal Control
The time-optimal control problem to a stationary point for an affine analytic nonlinear system is considered as a certain nonlinear power Markov moment min-problem. Conditions for a solution to be asymptotically close to a solution of a linear time-optimal control problem are obtained in terms of Lie brackets of the vector fields appearing in the system.
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