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<p>One of the side-effects of our formulation, is the ability to tackle linear-quadratic problems with cyclical constraints of the form \(G_0x_0 + G_Nx_N + g = 0\).</p>
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<h3class="title is-4">Benchmarks</h3>
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The following is a two-dimensional LQ problem over \(N = 20\) steps with no initial condition but a cyclical condition \(x_0 = x_N\), and some transient costs that steer the generated trajectory close to two points \(\bar{x}_5\) and \(\bar{x}_{15}\).
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An additional contribution of our journal paper is the inclusion of benchmarks against two other numerical solvers: IPOPT, which is a generic NLP solver often used in the OC community, and ALTRO, a tailored constrained solver.
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