13 Lyapunov functions

machinery of Lyapunov functions to establish that the origin is Lyapunov stable. As a candidate of Lyapunov function let me take V(x,y) = y2 2 +1−cosx. Note that in a small neighborhood of (0,0) my V is positive definite. Now V˙ (x,y) = ysinx+y(−sinx) = 0, and hence my V is an example of a Lyapunov function, but not strict Lyapunov ...

  Functions, Lyapunov, Lyapunov function

Chapter 8 An Introduction to Discrete Probability

sandr Lyapunov, Andrei Markov, Emile Borel, and Paul Levy should also be added´ ... is a finite set W of outcomes or elementary events w 2 W, together with a function Pr: W ! R, called probability measure (or probability distribution) satisfying the following properties: 0 Pr(w) 1 …

  Functions, Lyapunov

Solving Applied Mathematical Problems with MATLAB

SOLVING APPLIED MATHEMATICAL PROBLEMS WITH MATLAB® Dingyü Xue YangQuan Chen C8250_FM.indd 3 9/19/08 4:21:15 PM