Title :
On weak invertibility of linear time-invariant systems
Author :
Yuan, Zhiguo ; Vansteenkiste, Ghislain C.
Author_Institution :
Dept. of Appl. Math. & Biometry, Ghent Univ., Belgium
Abstract :
Systems are often uninvertible under the definition of invertibility in the strict sense. The possibility and method to get incomplete information of the input of uninvertible systems are studied. The concepts of Tu-invertibility, invertible space and Tu-inverse system are defined first. The algorithms to find the invertible spaces and to construct the Tu-inverse systems for linear, time-invariant systems are then developed. A numerical example illustrates the algorithms developed
Keywords :
linear systems; matrix algebra; stability; state-space methods; invertible space; linear time-invariant systems; matrix algebra; stability; uninvertible systems; weak invertibility; Codes; Filtering theory; Game theory; Mathematics; Reproducibility of results; Stability; Stochastic systems; Sufficient conditions;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325621
