Synthesis of linear quadratic control laws on basis of linear matrix inequalities

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Classic problems of control law construction for a linear dynamic object that is optimal by the quadratic criterion in the determinate and stochastic cases are reduced, as is known, to solving nonlinear matrix Riccati equations. It is shown that the notion of H2-norm of a system transfer matrix makes it possible to formulate and solve the stated problems in terms of linear matrix inequalities.

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