Consider a controllable time-invariant linear multivariable system controlled by output feedback dx/dt chemical bounds Ax + Bu, y chemical bounds Cx, (1.1) with the given system matrix A the point A delong to (ismember of ) teh set R~(nxn), input matrix B the point B delong to (is member of ) the set R~(nxm) and output matrix the point C delong to (is member of )the set R~(lxn). Let the matrices Band C be of full rank. The system (1.1) is controlled by output feedback u chemical bounds Ky chemical bounds KCx, giving rise to the closed-loop system dx/dt chemical bounds A_cx chemical bounds (A + BKC)x.
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