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The report mentions the difficulties of including new scientific information: 'The availability of repeatedly new scenarios results in the risk that decisionmaking will be postponed due to the uncertainties…On the one hand it is strived to use most recent insights while on the other hand stable assumptions are needed for decisionmaking and implementation.
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In addition, a weaker stable assumption of critical points of the function φ n,m also helps us construct multiple blowing-up and concentrating solutions of the Equation (3).
In contrast to stable equilibrium assumptions, Holling's research highlights ecosystems' multi-equilibrium dynamics and cyclical nature.
Therefore, W ∗ is globally asymptotically stable if assumption (32) is verified.
For the stable preference assumption to hold, there should be no advertising of the medical intervention.
The observer is globally asymptotically stable under certain assumptions.
The training algorithm is based on a Kalman filter, stable under certain assumptions.
Therefore, the interior equilibrium point (bar{E}(bar{x},bar{y})) is locally asymptotically stable under these assumptions.
Since it can be equivalently written in the pattern of IVP (3.1) in NFDEs, on the basis of Theorem 3.2, we can assert that the system is exponentially stable if the assumptions of Theorem 3.2 are satisfied.
Theorem 2 The closed-loop system depicted in Figure 2obtained from Eqs. (1), (5 - 7) through Algorithm 3is stable provided that Assumptions 1 and 2 hold, Γ 0 is sufficiently close to zero, N m is sufficiently large and ( C + K 1 ) stabilizes G d f ( s ).
To reduce the number of parameters and obtain reasonably stable estimates, strong assumptions have been made.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com