Sentence examples for a viability theory from inspiring English sources

We will give evidence of this remark by studying the Abrams-Strogatz model in a viability theory framework.

We adopt a viability theory perspective: viability theory [24] provides theoretical concepts and practical tools, in order to maintain a dynamical system inside a given set of a priori desired states, called the viability constraint set.

A viability approach, coupling the viability theory and a geometric approach of robustness, is proposed to study complex dynamical systems.

Moreover, viability theory provides a particularly appropriate framework to define rigorously the concept of resilience [25], the capacity of a system to undergo some exogenous disturbances and to maintain some of its dynamical properties.

Using set-valued analysis and viability theory, we computed an approximation of the viability kernel by the maximal reachable set.

Viability theory [24] focuses on how to maintain a dynamical system inside a viability constraint set.

There is a close relationship between constrained reachability [18] and viability theory [19].

We also define the resilience of the system in the formalism of viability theory: the system is resilient to a perturbation if, after the perturbation, there exists an action policy driving back the system to its viability kernel.

The approach in [1] relies on a careful use of ideas of set-valued analysis and viability theory.

In [1], quantitative and qualitative differential game problems are discussed using set-valued analysis and viability theory.

Remark 4.1 It should be already apparent that this paper owes many ideas to set-valued analysis and viability theory.