Title :
External and internal stability of linear systems--A new connection
Author_Institution :
University of Newcastle, Newcastle, NSW, Australia
fDate :
2/1/1972 12:00:00 AM
Abstract :
Finite-dimensional linear systems are considered with the properties of uniform complete controllability and observability. It is shown that exponential asymptotic stability of the homogeneous part of the system is equivalent to the system mapping inputs with finite L2norm into outputs with finite L2norm.
Keywords :
Asymptotic stability; Input-output stability; Linear systems, time-varying continuous-time; Stability; Asymptotic stability; Controllability; Integral equations; Linear systems; Nonlinear systems; Observability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1972.1099875
