Proof Existence and uniqueness of r(t, u)and A(t)follow from Theorem 3. 1. Hence, in order to prove differentiability and the formula for the derivative, it is sufficient to show that there exist a function C: R++R+ such that C(r)/r-0 as r-0 and E>0 such

In particular, when o=0, this yields the definition of a Lyapunov function Finding, for a given supply rate, a valid storage function(or at least proving that one exists)is a major challenge in constructive analysis of nonlinear systems. The most com-

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Spring 2003 1661AC22 Longitudinal Dynamics For notational simplicity, let X=Fn, Y= Fu, and Z= F aF Longitudinal equations(1-15 )can be rewritten as mi=X+X2- mg cos(0+△X

Library of Congress Cataloging-in-Pubblication Data Gonzalez. Rafael C. Digital Image Processing Richard E Woods N0-201 1. Digital Imaging. 2. Digital Techniques. I. Title. TA1632G662001 2001035846 Vice-President and Editorial Director. ECS: Marcia. Horton Publisher: tom robbins Associate Editor: Alice Dworkin

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