Optimal Control Constraint

Available identifiers

MaRDI QIDQ6674541

Constraint functional in optimal control systems requiring that the system's state vector follows the respective equation of motion

Defining Formula: $J[u,x,z]=2\mathrm{\Re }{\int }_0^{T}dt{z}^{†}(t)({\partial }_t-A-\sum _k{u}_k(t)N_k)x(t)$

$A$ symbol represents Control System Matrix A

$N$ symbol represents Control System Matrix N

$T$ symbol represents Control System Duration

$t$ symbol represents Time

$u$ symbol represents Control System Input

$x$ symbol represents Control System State

$z$ symbol represents Control System Lagrange Multiplier

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