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 - 2011/9/29

Y1 - 2011/9/29

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.

UR - http://www.scopus.com/inward/record.url?scp=80053143393&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053143393&partnerID=8YFLogxK

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 -