6533b7d0fe1ef96bd125afd6
RESEARCH PRODUCT
Dissipativity-Based Small-Gain Theorems for Stochastic Network Systems
Peng ShiZhaojing WuHamid Reza Karimisubject
0209 industrial biotechnologystochastic systemsComputer Science Applications1707 Computer Vision and Pattern Recognition02 engineering and technologyInterval (mathematics)Stability (probability)Electronic mailComputer Science Applicationsinput-to-state stabilityDissipativity; input-to-state stability; network systems; stochastic systems; Control and Systems Engineering; Computer Science Applications1707 Computer Vision and Pattern Recognition; Electrical and Electronic EngineeringNonlinear system020901 industrial engineering & automationnetwork systemsControl and Systems EngineeringControl theoryControl system0202 electrical engineering electronic engineering information engineeringUniform boundedness020201 artificial intelligence & image processingStochastic optimizationElectrical and Electronic EngineeringDissipativityMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-08-01 | IEEE Transactions on Automatic Control |