Families of solutions of algebraic Riccati equations
Copyright policy )Families of solutions of algebraic Riccati equations
We consider Homogeneous Algebraic Riccati Equations in the general situation when the matrix of the dynamics can be "mixed". We show that in this case the equation may have infinitely many families of solutions. An analysis of these families is carried over and explicit formulas are derived. We also derive sufficient conditions under which the union of the families covers the whole set of solutions.
- University of Padua Italy
symmetric matrices, Optimization and Control (math.OC), Algebraic methods, FOS: Mathematics, invariant subspaces, Mathematics - Optimization and Control, Control/observation systems governed by ordinary differential equations, homogeneous algebraic Riccati equation
symmetric matrices, Optimization and Control (math.OC), Algebraic methods, FOS: Mathematics, invariant subspaces, Mathematics - Optimization and Control, Control/observation systems governed by ordinary differential equations, homogeneous algebraic Riccati equation
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