Name
Title | ||
|---|---|---|
The Problem of Stabilization of Networked Systems under Computational Power Constraints |
Abstract | ||
|---|---|---|
The paper addresses stabilization under communication errors and limited data rate by means of controllers with bounded (as time progresses) computational powers. Discrete-time partially observed linear systems perturbed by stochastic additive disturbances are studied. The sensor signals are communicated to the controller over a noisy finite capacity link modeled as a stochastic discrete memoryless channel ( DMC ). We study stabilization in probability. It is shown that stability cannot typically be achieved by means of a finite memory decoder-controller so far as the boundary of the corresponding stabilizability domain is given by the zero-error capacity of the channel, which is typically zero. At the same time, stability can be achieved with keeping the expected values of the consumed computational resources bounded: the boundary of the relevant stabilizability domain is given by the ordinary Shannon capacity of the noisy channel, which is typically nonzero. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.3166/ejc.15.449-467 | European Journal of Control |
Keywords | Field | DocType |
capacity constraints,computational resources,control over communication channels,networked systems | Information theory,Linear system,Controllability,Upper and lower bounds,Control theory,Communication channel,Control engineering,Decoding methods,Channel capacity,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
15 | 3 | 0947-3580 |
Citations | PageRank | References |
1 | 0.38 | 14 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| AS Matvev | 1 | 1 | 0.38 |
| A.V. Savkin | 2 | 1 | 0.72 |
| J Reimann | 3 | 1 | 0.38 |
| G. Vachtesavanos | 4 | 3 | 0.91 |