L2-Gain and the Small-Gain Theoremvan der Schaft, A., 1-Jan-2017, Communications and Control Engineering. Springer International Publishing, p. 199-211 13 p. (Communications and Control Engineering; no. 9783319499918).
Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review
In this chapter, we elaborate on the characterization of finite L2-gain for state space systems, continuing on the general theory of dissipative systems in Chap. 3. Within this framework we revisit the Small-gain theorem and its implications for robustness (Sect. 8.2), and extend the small-gain condition to network systems (Sect. 8.3). Furthermore, we provide an alternative characterization of L2-gain in terms of response to periodic input functions (Sect. 8.4), and in Sect. 8.5 we end by sketching the close relationships to the theory of (integral-)input-to-state stability
|Title of host publication||Communications and Control Engineering|
|Publisher||Springer International Publishing|
|Number of pages||13|
|Publication status||Published - 1-Jan-2017|
|Name||Communications and Control Engineering|