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Multi-point Gaussian states, quadratic-exponential cost functionals, and large deviations estimates for linear quantum stochastic systems

Vladimirov, Igor; Petersen, Ian; James, Matthew

Description

This paper is concerned with risk-sensitive performance analysis for linear quantum stochastic systems interacting with external bosonic fields. We consider a cost functional in the form of the exponential moment of the integral of a quadratic polynomial of the system variables over a bounded time interval. Such functionals are related to more conservative behaviour and robustness of systems with respect to statistical uncertainty, which makes the challenging problems of their computation and...[Show more]

CollectionsANU Research Publications
Date published: 2018-07-24
Type: Journal article
URI: http://hdl.handle.net/1885/177007
Source: Applied Mathematics and Optimization
DOI: 10.1007/s00245-018-9512-y
Access Rights: Open Access

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