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Mathematics

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2001

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How Many Symmetries Does Admit A Nonlinear Single-Input Control System Around An Equilibrium?, Witold Respondek, Issa Amadou Tall Dec 2001

How Many Symmetries Does Admit A Nonlinear Single-Input Control System Around An Equilibrium?, Witold Respondek, Issa Amadou Tall

Miscellaneous (presentations, translations, interviews, etc)

We describe all symmetries of a single-input nonlinear control system, that is not feedback linearizable and whose first order approximation is controllable, around an equilibrium point. For a system such that a feedback transformation, bringing it to the canonical form, is analytic we prove that the set of all local symmetries of the system is exhausted by exactly two 1-parameter families of symmetries, if the system is odd, and by exactly one 1-parameter family otherwise. We also prove that the form of the set of symmetries is completely described by the canonical form of the system: possessing a nonstationary symmetry, …


The Stable Manifold Theorem For Stochastic Differential Equations (Dynamical Systems And Probability Seminar, Loughborough University), Salah-Eldin A. Mohammed Mar 2001

The Stable Manifold Theorem For Stochastic Differential Equations (Dynamical Systems And Probability Seminar, Loughborough University), Salah-Eldin A. Mohammed

Miscellaneous (presentations, translations, interviews, etc)

No abstract provided.


The Stable Manifold Theorem For Stochastic Differential Equations (Analysis And Probability Seminar, University Of Hull), Salah-Eldin A. Mohammed Mar 2001

The Stable Manifold Theorem For Stochastic Differential Equations (Analysis And Probability Seminar, University Of Hull), Salah-Eldin A. Mohammed

Miscellaneous (presentations, translations, interviews, etc)

No abstract provided.


Numerics Of Stochastic Systems With Memory (Applied Mathematics And Numerical Analysis Seminars, University Of Manchester), Salah-Eldin A. Mohammed Mar 2001

Numerics Of Stochastic Systems With Memory (Applied Mathematics And Numerical Analysis Seminars, University Of Manchester), Salah-Eldin A. Mohammed

Miscellaneous (presentations, translations, interviews, etc)

No abstract provided.