alcanzables

Alcanzables is the plural form of alcanzable, an adjective in Spanish meaning able to be reached or achieved. The term is used across disciplines to describe objects, states, goals, or resources that can be accessed or realized within given constraints. In everyday language it contrasts with inalcanzables, which denotes things beyond reach under current conditions.

In mathematics and control theory, alcanzable (or alcanzabilidad) refers to the set of states that can be reached from a given initial state under allowable inputs. For a dynamical system described by x’ = f(x, u) with x(0) = x0, the collection of all states x(t) that can be produced for some admissible input function u(t) constitutes the reachable or alcanzable set at time t. Controllability is the related property that every state in the space can be reached from any initial condition, often checked via criteria such as rank conditions or Lie algebra methods.

In graph theory and computer science, reachability describes whether there exists a path from one node to another. The nodes that can be reached from a starting node are called reachable, and in Spanish texts this is commonly referred to as alcanzables.

In planning, project management, and decision making, metas or resultados are described as alcanzables when they are feasible given current resources, time constraints, and risks. The term is synonymous with factible, realizable, and viable, and it is often used within frameworks that emphasize achievability, such as SMART goal setting.

The concept intersects with related ideas such as feasibility, attainability, reachability, and controllability.