On Optimal Stabilization of Nonautonomous Systems
Consider a controlled system of differential equations of perturbed motion
where x = (x 1,…, x n), X = (X1,…, X n ), u = (u1,…,u r ). Suppose that functions X(t, x, u) are defined, continuous, and satisfying a Lipschitz condition in x in the domain
$$ \dot x = X(t,x;u), $$
$$ t \in R, \left\| x \right\| < H (H = const). $$
KeywordsPeriodic Function Asymptotic Stability Control Function Continuous Dependence Convergent Subsequence
Unable to display preview. Download preview PDF.
© Springer Science+Business Media New York 2004