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holds in the case that is not Lipschitzian, then has a fixed point providing that a minimum residence interval is respected for at least one of the asymptotically strictly contractive or asymptotically large contractive self-maps in.
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Theorem 3.1(i) is fulfilled for any switching rule such that the minimum residence intervals referred to are respected in only one of the asymptotically strictly contractive primary self-maps.
Thus, it is possible to construct switching rules which respect a sufficiently large minimum residence time interval at least at one of their stable parameterizations to guarantee the existence of a fixed point and the exponential stability to the origin in the dynamic system is unforced as a result.
holds in the case that is not Lipschitzian, then has a fixed point and a minimum finite residence interval being sufficiently large compared to is respected at any, for all.
(i) has a fixed point if, and a minimum finite residence interval being sufficiently large compared to is respected at any, for all before the next switching in the following precise sense: (3.2). or there is a finite number of switches with the last switching point being to a primary self-map in.
b) The residence times shown in Figures 1F and I show a sharp boundary with a minimum residence time.
From F to C, the minimum residence time configuration is a by-pass CSTR connecting point F and C.
Along this boundary lies the minimum residence time reactor configurations for a given bioethanol concentration (or yield).
The minimum grid interval is about 59 km.
If the minimum agreed interval availability is not honored, the service provider is penalized.
The minimum time interval between two sessions was one day.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com