Recent content by ovidiupetre

First derivative of potential function is not given. Construction of potential function (V) is the aim or the step that is needed to pass. When you construct potential function, the rest is easy.

Problem is not about solving V, the problem is "construction of V". If i construct V, i can find a condition to make x = 0 local minimum by looking negative definiteness of the derivative of V.

V is a candidate Lyapunov function and it must be positive definite. Moreover, first derivative of V must be negative semi definite in order to x = 0 be local minimum.

First derivative of course. I couldn't get a nice expression for the potential, my equations are not simplifiable.

Homework Statement http://img13.imageshack.us/img13/5793/84188411.jpg Homework Equations Find a condition on b such that x = 0 is a local minimum of the potential function. The Attempt at a Solution To find local minimum, potential function (V) of the system should be written. V...

Homework Statement Hello friends, i couldn't find a solution for the question below. Can you help me? Thank you very much. Let α-norm and β-norm be two different norms on ℝn. Show that f:ℝn->ℝm is Lipschitz in α-norm if and only if it is Lipschitz in β-norm Homework Equations...