Sentence examples for if bounded from inspiring English sources

Moreover, sufficient conditions are given to ensure the practical stability of the Observer-Controller system even if bounded uncertainties occur.

A system is BIBO stable if bounded inputs generate bounded outputs, a condition that is met if all poles are in the left-half plane.

Motivated by the above consideration, this paper proposes an adaptive methodology to synchronize any chaotic system with unified chaotic systems, even if bounded disturbances are present.

These classes also frequently involve a real (if bounded) element of choice; students need to produce an essay or documentary film that accomplishes certain academic objectives, but they can choose the topic that interests them.

To overcome the problem, we have previously described by different methods a set of parameters for which any solution of the closed loop system, if bounded, will converge to the origin and that the origin is locally asymptotically stable.

Bifurcations are important because they signal a change in stability, a set of parameters ensuring stability is enclosed (if bounded) by bifurcation curves.

If and, then as if and only if is bounded.

If satisfies (1.6), then as if and only if is bounded.

Then is almost periodic if and only if is bounded.

Therefore, if and only if is bounded provided.

Then the operator is compact if and only if is bounded (3.17).