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We consider stability theory for Polish spaces and more generally for definable structures. We succeed to prove existence of indiscernibles under reasonable conditions.
A 2D adaptive Volterra quadratic algorithm based on the Lyapunov stability theory
quadratic algorithm the Lyapunov stability theory
2010/9/15
In this paper, we develop a 2D adaptive nonlinear algorithm based on a second order Volterra filter with linear part. We theoretically show that the proposed algorithm is numerically stable with respe...
General mathematical frame for open or closed biomembranes: Stability theory based on differential operators
biomembranes stability theory stably permissible condition
2010/9/15
Based on a few differential operators and their integral theorems on curved surfaces, the second variations of the general potential functional and various geometric quantities defined on biomembranes...
AN EXTENSION OF THE BINOMIAL THEOREM WITH APPLICATION TO STABILITY THEORY
Routh-Hurwitz Stability Schur-Cohn Stability Stability Theory Control Theory
2010/3/17
We show how it is possible to put different stability types such as Routh-Hurwitz and Schur-Cohn on common grounds by establishing direct links between them. In the process, we obtain natural and eleg...