# anchored_difference_bounded_variables¶

static OperationNamespace.anchored_difference_bounded_variables(count, lower_bound, upper_bound, difference_bound, *, name=None)

Creates a sequence of variables with an anchored difference bound.

Use this function to create a sequence of optimization variables that have a difference bound (each variable is constrained to be within a given distance of the adjacent variables) and are anchored to zero at the start and end (the initial and final variables are within a given distance of zero).

Parameters
• count (int) – The number $$N$$ of individual real-valued variables to create.

• lower_bound (float) – The lower bound $$v_\mathrm{min}$$ on the variables. The same lower bound applies to all count individual variables.

• upper_bound (float) – The upper bound $$v_\mathrm{max}$$ on the variables. The same upper bound applies to all count individual variables.

• difference_bound (float) – The difference bound $$\delta$$ to enforce between adjacent variables.

• name (str, optional) – The name of the node.

Returns

The sequence $$\{v_n\}$$ of $$N$$ anchored difference-bounded optimization variables, satisfying $$v_\mathrm{min}\leq v_n\leq v_\mathrm{max}$$, $$|v_{n-1}-v_n|\leq\delta$$ for $$2\leq n\leq N$$, $$|v_1|\leq\delta$$, and $$|v_N|\leq\delta$$.

Return type

Tensor

bounded_optimization_variable()
calculate_optimization()
unbounded_optimization_variable()