What people are saying - Write a review
We haven't found any reviews in the usual places.
SYSTEMS AND CONTROL
NECESSARY CONDITIONS FOR OPTIMAL CONTROL
HOW TO HEAT YOUR HOUSE WITH CONTROL THEORY
5 other sections not shown
approximation assume assumption auxiliary function Bellman Bellman equation boundary condition calculus of variations chapter co-state equation coefficients coin collision components constant constraint control law control variable cost criterion deduce defined derivative differentiable with respect differential equation dp/dt dx/dt dynamic programming equal equations of motion equivalent example exists exp(-At feasible path Figure final formula function p(t furnace given gives Hamiltonian hence impulse response initial condition input x(t integral interval intuitive Lagrange multipliers Laplace transform limit linear system LQP problem mathematical matrix maximum principle method Minimize minimum n-vector negative non-linear obtain open loop control optimal control problem optimal control theory optimal path optimal policy optimal solution orbit parameters Pontryagin theory positive possible quadratic quantity region result right hand side s-plane satisfied scalar singular control solve space stochastic switching curve tangent tangent space temperature theorem throw transfer function turnpike vector white noise zero