Abstract
This paper considers connections between bounded-input, bounded- output stability and asymptotic stability in the snese of Lyapunov for linear time-varying systems. By modifying slightly the definition of bounded-input, bounded- output stability, an equivalence between the two types of stability is found for systems which are uniformly completely controllable and observable. The various matrices describing the system need not be bounded. OTTHER RESULTS RELATE TO THE CHARACTERIZATION OF UNIFORM COMPLETE CONTROLLABILITY AND THE DERIVATION OF Lyapunov functions for linear time-varying systems.
| Original language | English |
|---|---|
| Pages (from-to) | 398-414 |
| Number of pages | 17 |
| Journal | SIAM J on Control |
| Volume | 7 |
| Issue number | 3 |
| Publication status | Published - 1969 |