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First Variational Analysis
Second Order Algorithms
17 other sections not shown
admissibility condition admissible 6u admissible extremal admissible perturbations Algorithm arithmetic was approximately assumed auxillary behavior class of piecewise CM CM complete reachability constraint multipliers continuous functions control constraints control inequality constraints Control trajectories control vector iteration costate equation dead zone defined differential equations double precision Dyer and McReynolds dynamic programming effective constraints evaluated exists feedback control laws Figure fixed time base given in Table imposed incremental state equation iteration methods Lagrange multiplier Legendre transformation linear matrix Maximum Principle nonsingular null space obtained optimal control performance index performance Lagrangian piecewise constant control piecewise continuous functions precision arithmetic quadratic rH CM rH rH rH satisfied second variation space of piecewise stationarity straint strengthened Legendre condition strictly positive subinterval sufficiency conditions switching locations switching sequence terminal constraints terminal error terminal tangent space tion Tk+1 trajectories for trial trial 2b weak relative minimum