TY - GEN
T1 - Modeling of symbolic systems
T2 - 2011 American Control Conference, ACC 2011
AU - Wen, Yicheng
AU - Ray, Asok
AU - Chattopadhyay, Ishanu
AU - Phoha, Shashi
PY - 2011
Y1 - 2011
N2 - This paper, which is the first of two parts, brings in the notions of vector addition and the associated scalar multiplication operations on probabilistic finite state automata (PFSA). A class of PFSA is shown to constitute a vector space over the real field ℝ, where the zero element is semantically equivalent to a subclass of PFSA, referred to as symbolic white noise. A norm is introduced on the vector space of PFSA and it quantifies the non-probabilistic behavior of a PFSA. The second part constructs a family of inner products on this vector space and presents numerical examples and applications.
AB - This paper, which is the first of two parts, brings in the notions of vector addition and the associated scalar multiplication operations on probabilistic finite state automata (PFSA). A class of PFSA is shown to constitute a vector space over the real field ℝ, where the zero element is semantically equivalent to a subclass of PFSA, referred to as symbolic white noise. A norm is introduced on the vector space of PFSA and it quantifies the non-probabilistic behavior of a PFSA. The second part constructs a family of inner products on this vector space and presents numerical examples and applications.
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M3 - Conference contribution
AN - SCOPUS:80053143393
SN - 9781457700804
T3 - Proceedings of the American Control Conference
SP - 5133
EP - 5138
BT - Proceedings of the 2011 American Control Conference, ACC 2011
Y2 - 29 June 2011 through 1 July 2011
ER -