On the Genericity of the Differential Observability of Controlled Discrete-Time Systems
In this paper, we prove the genericity of the differential observability for discrete-time systems with more outputs than inputs.
In this paper, we prove the genericity of the differential observability for discrete-time systems with more outputs than inputs.
Single Output-Dependent Observability Normal Form
This paper gives the sufficient and necessary conditions which guarantee the existence of a diffeomorphism in order to transform a nonlinear system without inputs into a canonical normal form that is...
This paper gives the sufficient and necessary conditions which guarantee the existence of a diffeomorphism in order to transform a nonlinear system without inputs into a canonical normal form that is...
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An Introduction to Quantum Filtering
SIAM J. Control Optim. Volume 46, Issue 6, pp. 2199-2241 (2007)
Published December 21, 2007
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This paper provides an introduction to quantum filtering theory. An introduction to quantum probability theory is given, focusing on the spectral theorem and the conditional expectation as a least squares estimate, and culminating in the construction of Wiener and Poisson processes on the Fock space. We describe the quantum Itô calculus and its use in the modeling of physical systems. We use both reference probability and innovations methods to obtain quantum filtering equations for system-probe models from quantum optics.
©2007 Society for Industrial and Applied Mathematics| History: | Received January 30, 2006; accepted June 20, 2007; published December 21, 2007 |
| Permalink: | http://dx.doi.org/10.1137/060651239 |
KEYWORDS and AMS
93E11, 81P15, 81S25, 81Q10, 81R15, 34F05
PUBLICATION DATA
0363-0129 (print)
1095-7138 (online)
SIAM