References
- Bapat , R and Raghavan , T . 1997 . Nonnegative Matrices and Applications , Cambridge University Press .
- Chattopadhyay , I . 2006 . Quantitative control of probabilistic discrete event systems , PhD Dissertation, Dept. of Mech. Engg. Pennsylvania State University, http://etda.libraries.psu.edu/theses/approved/WorldWideIndex/ETD–1443,
- Chattopadhyay , I and Ray , A . 2006 . Renormalized measure of regular languages . Int. J. Contr , 79 : 1107 – 1117 .
- Chattopadhyay , I and Ray , A . 2007 . Language-measure-theoretic optimal control of probabilistic finite-state systems . Int. J. Contr , 80 : 1271 – 1290 .
- Decreusefond , L and Ustunel , A . 1999 . Stochastic analysis of the fractional brownian motion . Potential Analysis , 10 : 177 – 214 .
- Garg , V . 1992 . Probabilistic languages for modeling of DEDs Proceedings of . IEEE Conference on Information and Sciences , : 198 – 203 . Princeton, NJ March 1992a
- Garg , V . 1992b . An algebraic approach to modeling probabilistic discrete event systems . Proceedings of 1992 IEEE Conference on Decision and Control , December : 2348 – 2353 . Tucson, AZ
- Harrod , WJ and Plemmons , RJ . 1984 . Comparison of some direct methods for computing the stationary distributions of markov chains, . SIAM J. Sci. Statist. Comput , 5 : 453 – 469 .
- Hopcroft , JE , Motwani , R and Ullman , JD . 2001 . Introduction to Automata Theory, Languages, and Computation , 2nd , 45 – 138 . Boston, MA, , USA : Addison-Wesley .
- Kemeny , JG and Snell , JL . 1960 . Finite Markov Chains , 2nd , New York : Springer .
- Kumar , R and Garg , V . 2001 . Control of stochastic discrete event systems modeled by probabilistic languages . IEEE Trans. Autom. Contr , 46 : 593 – 606 .
- Lawford , M and Wonham , W . 1993 . Supervisory control of probabilistic discrete event systems . Proceedings of 36th Midwest Symposium on Circuits and Systems , : 327 – 331 .
- Rajagopalan , V and Ray , A . 2006 . Symbolic time series analysis via wavelet-based partitioning . Signal Process , 86 : 3309 – 3320 .
- Ramadge , PJ and Wonham , WM . 1987 . Supervisory control of a class of discrete event processes . SIAM J. Contr. Optimiz , 25 : 206 – 230 .
- Ray , A . 2004 . Symbolic dynamic analysis of complex systems for anomaly detection . Signal Process , 84 : 1115 – 1130 .
- Ray , A . 2005 . Signed real measure of regular languages for discrete-event supervisory control . Int. J. Contr , 78 : 949 – 967 .
- Rudin , W . 1988 . Real and Complex Analysis , 3rd , New York : McGraw Hill .
- Shalizi , CR and Shalizi , KL . 2004 . “ Blind construction of optimal nonlinear recursive predictors for discrete sequences ” . In Proceedings of the 20th conference on uncertainty in artificial intelligence , 504 – 511 . Arlington, Virginia, , United States : AUAI Press . AUAI’04:
- Stewart , W . 1999 . Computational Probability: Numerical Methods for Computing Stationary Distribution of Finite Irreducible Markov Chains , New York : Springer .