Calculator for Systems of Linear Equations A system of linear equations consists of equations of the form a 11 x 1 +a 12 x 2 +a 13 x 3 +...=b 1, a 21 x 1 +a 22 x 2 +a 23 x 3 +...=b 2,.... Such a system contains several unknowns. It is solvable for n unknowns and n linear independant equations. The Möbius transformations are projective transformations of the complex projective line and they are also variously named homographies, homographic transformations, linear fractional transformations, bilinear transformations, or fractional linear transformations. The set of all Möbius transformations forms a group under composition.
However these generalizations of the LTI results are possible only with particular representations of the system: affine, polytopic or linear fractional transformation (LFT) representations which usually defined bigger set of systems than the actual systems to control. Thus, these techniques often introduce conservatism in the control law.
Linear Equations. Expand. Evaluate Fractions. Linear Equations.