Title :
On the relationship between external and internal stability of linear time-varying systems
Author :
Phelps, J.M. ; Kamen, E.W. ; Chaparro, L.F.
Author_Institution :
Dept. of Electr. Eng., Pittsburgh Univ., PA, USA
Abstract :
New analytical definitions of stabilizability and detectability for a linear time-varying discrete-time system are given. It is shown that, if a linear system has these properties and has reachability and observability matrices with bounded pseudoinverses, then external or bounded-input-bounded-output (BIBO) stability of the system is equivalent to internal or uniform asymptotic stability
Keywords :
discrete time systems; linear systems; matrix algebra; observability; stability; time-varying systems; BIBO stability; bounded pseudoinverses; bounded-input-bounded-output; detectability; discrete-time system; external stability; internal stability; linear time-varying systems; observability matrices; reachability; stabilizability; uniform asymptotic stability; Asymptotic stability; Discrete time systems; Equations; Linear systems; Observability; State-space methods; Time varying systems; Vectors;
Conference_Titel :
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location :
New Orleans, LA
DOI :
10.1109/ISCAS.1990.112392
