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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Arapostathis, A. Kumar, R. Shun-Pin Hsu |
| Copyright Year | 2003 |
| Description | Author affiliation: Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA (Arapostathis, A.) |
| Abstract | In an earlier paper [A. Arapostathis, et al., 2003], we introduced the notion of safety control of stochastic discrete event systems (DESs), modeled as controlled Markov chains. Safety was specified as an upper bound on the components of the state probability distribution, and the class of irreducible and aperiodic Markov chains was analyzed for satisfying such a safety property. Under the assumption of complete state observation, we identified (i) the set of all safety enforcing state-feedback controllers that impose the safety requirement for all safe initial distributions, and (ii) the maximal invariant set of safe distributions for a state-feedback controller. In this paper we extend the work reported in [A. Arapostathis, et al., 2003] in several ways: (i) the safety is specified in terms of both upper and lower bounds; (ii) quite general class of Markov chains is analyzed that does not exclude the reducible or the periodic chains, (iii) a quite general iterative algorithm for computing the maximal invariant set of safe distributions is obtained in which the initial set for iteration can be arbitrary; (iv) explicit upper bound on the number of steps needed for the termination of the iterative algorithm has been obtained. |
| Sponsorship | Honeywell Lab. Xerox Nat. Instruments Math Works |
| Starting Page | 6283 |
| Ending Page | 6288 |
| File Size | 451513 |
| Page Count | 6 |
| File Format | |
| ISBN | 0780379241 |
| ISSN | 01912216 |
| DOI | 10.1109/CDC.2003.1272302 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2003-12-09 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Optimal control Stochastic systems Automatic control Control systems Stochastic processes Iterative algorithms Discrete event systems Electrical safety Probability distribution Algorithm design and analysis |
| Content Type | Text |
| Resource Type | Article |
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