In this paper, some small-gain theorems are proposed for stochastic network systems which describe large-scale systems with interconnections, uncertainties and random disturbances. By the aid of conditional dissipativity and showing times of stochastic interval, small-gain conditions proposed for the deterministic case are extended to the stochastic case. When some design parameters are tunable in practice, we invaginate a simpler method to verify small-gain condition by selecting one subsystem as a monitor. Compared with the existing results, the existence-and-uniqueness of solution and ultimate uniform boundedness of input are removed from requirements of input-to-state stability and small-gain theorems.
|Titolo:||Dissipativity-Based Small-Gain Theorems for Stochastic Network Systems|
|Autori interni:||KARIMI, HAMID REZA|
|Data di pubblicazione:||2016|
|Rivista:||IEEE TRANSACTIONS ON AUTOMATIC CONTROL|
|Appare nelle tipologie:||01.1 Articolo in Rivista|