Title :
Real controllability/stabilizability radius of LTI systems
Author :
Hu, Guangdi ; Davison, Edward J.
Author_Institution :
Phys. Sci. & Syst. Res. Lab., Ford Motor Co., Dearborn, MI, USA
Abstract :
In this note, we present a simple and readily computable formula for the calculation of the real controllability/stabilizability and observability/detectability radii for linear time-invariant systems.
Keywords :
controllability; linear systems; matrix algebra; observability; perturbation techniques; singularly perturbed systems; computational complexity; linear time-invariant system; perturbation matrix; perturbed system; real controllability/stabilizability radius; real observability/detectability radius; Control systems; Controllability; Eigenvalues and eigenfunctions; Laboratories; Observability; Polynomials; Riccati equations; Robust control; Stability; System testing;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.822871
