An Extended Small-Gain Theorem
arXiv:1409.6991h-index: 47
Originality Synthesis-oriented
AI Analysis
Provides a theoretical extension for control systems researchers, offering more flexibility in stability analysis, but is incremental.
This paper extends the small-gain theorem to allow general vector norms for characterizing input-to-output properties and provides subsystem gains, offering more flexibility in control design.
We extend the results of the general small-gain theorem proposed by Z.P Jiang. The significance of this extension is two fold. First, it allows one to use general vector norm to characterize the input-to-output property of two interconnected subsystems. Second, the gain from input signals to output of each sub-system is provided, which offers one more flexibility in control design.