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64 Introduction to Control Theory

Figure 2.6.12: (a) Boundedness of x e at t 0; (b) uniform boundedness of x e; (c) uniform
ultimate boundedness of x e ; (d) global uniform boundedness of x e .

autonomous system by letting

z=x e-x(t)

and

and studying the stability of the equilibrium point z e =0.

Copyright © 2004 by Marcel Dekker, Inc.