Viability Theory: New Directions
By J. Aubin, Alexandre M. Bayen, P. Saint-Pierre. 2011
373 citations recorded by the source corpus.
Subfields: Economics and Econometrics
View Paper: https://www.semanticscholar.org/paper/925364da7ccc8abf0e59743fde4236c361e3e672
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In Economics and Econometrics
Citations in the corpus
- Software Engineering for Self-Adaptive Systems: A Second Research Roadmap (2010, background): “We define the viability zone of an adaptive system as the set of possible states in which the system’s requirements and desired properties are satisfied [3].”
- Reachability-based safe learning with Gaussian processes (2014, background): “This is known as the discriminating kernel of K denoted by DiscT(K ,D) [3].”
- Finite-time regional verification of stochastic non-linear systems (2011, background): “…(there is substantial work in the case of bounded uncertainty, for instance in the literature on robust constrained control (Blanchini and Miani 2008; Rawlings and Mayne 2009; Aubin et al. 2011), but we are motivated here by the case where the uncertainty is large and potentially unbounded).”
- Convex Computation of the Region of Attraction of Polynomial Control Systems (2012, background): “, [30]); the ROA itself is sometimes referred to as the backward reachable set [32] or capture basin [4].”
- Control Barrier Functions: Theory and Applications (2019, background): “e of every level set. Thus, they are overly strong and conservative. While the above results addressed closed dynamical systems, i.e., systems without inputs, the work on viability theory [14], [15], [16] extended them to open dynamical systems, e.g., control systems given by x_ = f(x) + g(x)u for u”
- Riemann–Stieltjes Optimal Control Problems for Uncertain Dynamic Systems (2015, background): “”Tychesmeans “chance” in classicalGreek, from theGoddess Tyche [44].”