Weighting pattern

A weighting pattern for a linear dynamical system describes the relationship between an input and output . Given the time-variant system described by

, then the output can be written as , where is the weighting pattern for the system. For such a system, the weighting pattern is such that is the state transition matrix.

The weighting pattern will determine a system, but if there exists a realization for this weighting pattern then there exist many that do so.

Linear time invariant system In a LTI system then the weighting pattern is: Continuous

where is the matrix exponential.

Discrete .

See also Control theory

References