Anisotropy-based Analysis Problem for Linear Discrete Time Invariant Systems with Fixed-point Arithmetic in Control Actions Space

Anisotropy-based analysis problem for linear discrete time invariant systems is studied under the assumption of fixed-point arithmetic of digital controller. A covariance-type constraint is introduced in addition to constraint on mean anisotropy to limit the stochastic variations input disturbance. The relation between the anisotropic norm and the variance of round-off errors is outlined.