Abstract
For the feedback interconnection of general nonlinear systems, the classical small-gain condition is sufficient but not necessary for robust stability. We introduce a weaker notion of gain which yields a small-gain condition that is both necessary and sufficient for robust stability. We also discuss conditions under which the two notions coincide, and we further provide results for dissipation performance measures that are more general than the classical gain measures.
Original language | English (US) |
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Pages (from-to) | 1995-2012 |
Number of pages | 18 |
Journal | SIAM Journal on Control and Optimization |
Volume | 46 |
Issue number | 6 |
DOIs | |
State | Published - 2007 |
Keywords
- Conditional gain
- Dissipativity
- Feedback connection
- Nonlinear systems
- Performance analysis
- Small-gain theorem
ASJC Scopus subject areas
- Control and Optimization
- Applied Mathematics