Vs×Is

Vs×Is refers to a specific notation used in certain academic and scientific contexts, particularly in fields like control theory, systems engineering, and mathematical modeling. This notation is often employed to represent the relationship between input and output signals or variables within a system. The "Vs" typically denotes a vector of output variables or states, while "Is" represents a vector of input variables or controls. The "×" symbol in this context signifies a mapping or a function that transforms the input vector into the output vector.

Essentially, Vs×Is provides a compact way to describe a system's dynamics or behavior. It implies that the system's outputs are determined by its inputs. For example, in a dynamic system, the output vector Vs might represent the current state of the system, and the input vector Is could represent external forces or control signals applied to it. The Vs×Is notation would then describe how these inputs affect the system's state over time or at a given moment.

The precise meaning and application of Vs×Is can vary depending on the specific field or the author's convention. However, the underlying principle remains consistent: it's a shorthand for expressing a functional dependency of one set of variables on another. This notation can be found in textbooks, research papers, and technical documentation where complex systems are being analyzed and modeled. Its use helps in simplifying the presentation of mathematical models and enhancing the clarity of system descriptions.