1999 , Volume 4, № 4, p.3-13

This paper deals with the modal controller synthesis for a linear intervally specified multi-variable time-invariant control object with full state information. At present, a lot of papers are devoted to this problem, but most of them use the idea of reducing multi-variable system to its equivalent with scalar input. Such a problem statement is trivial. The method we present for the modal controller synthesis relies on the use of Sylvester matrix equation. An algebraic approach is used for finding the inner interval estimates of a generalized solution set of Sylvester interval matrix equation.

*15A24 Matrix equations and identities

65F30 Other matrix algorithms

65G30 Interval and finite arithmetic

65K10 Optimization and variational techniques

93B05 Controllability

93C35 Multivariable systems

*G.1.0 General (Numerical Analysis)

G.1.3 Numerical Linear Algebra

G.1.6 Optimization

I.2.8 Problem Solving, Control Methods, and Search