A Comparative Study of Input–Output Stability Results.

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. [ABSTRACT FROM PUBLISHER]