Ergodicity, Output-Controllability, and Antithetic Integral Control of Uncertain Stochastic Reaction Networks
- Journal Article
The ergodicity and the output-controllability of stochastic reaction networks have been shown to be essential properties to fulfill to enable their control using, for instance, antithetic integral control [Briat, Gupta & Khammash, 2016]. We propose here to extend those properties to the case of uncertain networks. To this aim, the notions of interval, robust, sign, and structural ergodicity/output-controllability are introduced. The obtained results lie in the same spirit as those obtained in [Briat, Gupta & Khammash, 2016] where those properties are characterized in terms of control theoretic concepts, linear algebraic conditions, linear programs, and graph-theoretic/algebraic conditions. An important conclusion is that all those properties can be characterized by linear programs. Two examples are given for illustration. Show more
Journal / seriesIEEE Transactions on Automatic Control
Pages / Article No.
Organisational unit03921 - Khammash, Mustafa / Khammash, Mustafa
743269 - Theory and Design tools for bio-molecular control systems (EC)
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