We consider the problem of assessing robust stability in the presence of block-diagonally structured time-varying dynamic uncertainty. We show that robust stability holds only if there exist constant scalings which lead to a small gain condition. The notion of stability here is finite-gain stability over finite-energy signals. In sharp contrast to the case of time-invariant dynamic uncertainty, this result is not limited by the number uncertainty blocks. These results parallel previous results regarding finite-gain stability over persistent bounded signals.
Bibliographical noteFunding Information:
Manuscript received February 17, 1992; revised March 10, 1993. Recommended by Past Associate Editor D. S. Bemstein. This work was supported in part by AFOSR Research Initiation Grant 92-70 and NSF Grants ECS 9296074 and ECS-9258005. The author is with the Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, TX 78712. IEEE Log Number 9215719.
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering