L2-Gain and Passivity Techniques in Nonlinear Control, Third Edition by Arjan van der Schaft
English | PDF,EPUB | 2017 | 334 Pages | ISBN : 3319499912 | 10.23 MB
This standard text gives a unified treatment of passivity and L2-gain theory for nonlinear state space systems, preceded by a compact treatment of classical passivity and small-gain theorems for nonlinear input-output maps. The synthesis between passivity and L2-gain theory is provided by the theory of dissipative systems. Specifically, the small-gain and passivity theorems and their implications for nonlinear stability and stabilization are discussed from this standpoint. The connection between L2-gain and passivity via scattering is detailed.