Title :
Upper and lower bounds of Gramian for a class of perturbed linear systems
Author :
Auba, T. ; Funahashi, Y.
Author_Institution :
Dept. of Mech. Eng., Nagoya Inst. of Technol., Japan
fDate :
10/1/1992 12:00:00 AM
Abstract :
A bound on the system Gramian under perturbations of an A-matrix in the state space representation is derived. For a class of perturbations, both upper and lower bounds are obtained by solving algebraic Riccati equations
Keywords :
control system analysis; linear systems; matrix algebra; state-space methods; A-matrix; Gramian; algebraic Riccati equations; lower bounds; perturbations; perturbed linear systems; state space representation; Eigenvalues and eigenfunctions; Linear matrix inequalities; Linear systems; Mechanical engineering; Riccati equations; Space technology; State-space methods; Uncertainty; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
