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Construction of vectorial control over a multivariable object specified via intervals. (Russian) Zbl 0942.65074

A modal controller synthesis is considered for a linear multivariable time-invariant control object specified via intervals. This problem is reduced to solvability of a Sylvester matrix equation. Inner interval estimates are found by an algebraic approach to a generalized solution set of the Sylvester interval matrix equation.

MSC:

65K10 Numerical optimization and variational techniques
65F30 Other matrix algorithms (MSC2010)
15A24 Matrix equations and identities
65G30 Interval and finite arithmetic
93C35 Multivariable systems, multidimensional control systems
93B05 Controllability
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