Abstract
The L/sub 1/-performance analysis of nonlinear systems is discussed using the theory of positively invariant sets and the set-valued analysis. The main result of the paper shows that the L/sub 1/ performance cost of a nonlinear continuous-time system is upper bounded by the L/sub 1/ performance cost of its Euler approximating discrete-time system (EAS). Another result shows that the optimal L/sub 1/ performance cost of a continuous-time system can be arbitrarily closed by the L/sub 1/ performance cost of its EAS.
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