A Comparative Study of Input–Output Stability Results
Autor: | Leila Jasmine Bridgeman, James Richard Forbes |
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Rok vydání: | 2018 |
Předmět: |
Input/output
0209 industrial biotechnology Mathematical optimization Stability (learning theory) 02 engineering and technology Stability result Computer Science Applications Nonlinear system 020901 industrial engineering & automation Control and Systems Engineering Conic section Control theory Negative feedback 0202 electrical engineering electronic engineering information engineering Robot 020201 artificial intelligence & image processing Electrical and Electronic Engineering Numerical stability Mathematics |
Zdroj: | IEEE Transactions on Automatic Control. 63:463-476 |
ISSN: | 1558-2523 0018-9286 |
DOI: | 10.1109/tac.2017.2717898 |
Popis: | At present, many similar but disparate input–output (I–O) stability criteria exist. Without means for comparison, it is unclear which result is best used in any given application. This paper proposes a means for comparison between I–O stability results involving norms and inner products of inputs and outputs. The extended conic sector theorem provides a framework for determining which results are least conservative and most broadly applicable. In so-doing, numerous existing stability results are unified and revealed as more powerful than previously thought. |
Databáze: | OpenAIRE |
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