论文信息 - On universal observability

On universal observability

The authors address the following two questions. What are the algebraic irreducible systems whose external behavior can be described by means of differential algebraic equations only (in which case the external behavior is closed)? Does some specific observability property (called universal observability) imply that external behavior is closed? No complete answers are given. Some partial results are provided.<<ETX>>

S. Diop

[1] Phyllis J. Cassidy,et al. Differential algebraic groups , 1972 .

[2] Eduardo Sontag. On the Observability of Polynomial Systems. , 1977 .

[3] S. Diop,et al. Rational System Equivalence, and Generalized Realization Theory , 1992 .

[4] Sette Diop,et al. Differential-Algebraic Decision Methods and some Applications to System Theory , 1992, Theor. Comput. Sci..

[5] M. Fliess. Automatique et corps différentiels , 1989 .

[6] Eduardo Sontag. On the Observability of Polynomial Systems, I: Finite-Time Problems , 1979 .

[7] S. Diop. Closedness of morphisms of differential algebraic sets. Applications to system theory , 1993 .

[8] M. Fliess,et al. Nonlinear observability, identifiability, and persistent trajectories , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.