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ABOUT WELL-POSEDNESS OF A CONTROLLABLE IMPULSE SYSTEM WITH DELAY AND WITH PHASE CONSTRAINTS ON CONTROL

Annotation

A controllable impulse system with delay and with phase constraints on control is considered. It is shown that if at some point of parameter the set of the system phase trajectories is a-priori bounded, then it is a-priori bounded for all parameter values from some neighborhood of this point. The deviation estimates of the phase trajectories set from a given function are obtained in the space of piecewise continuous functions. The continuous dependence of phase trajectories on parameters and on the initial data is derived.

Keywords

controllable impulse system with delay; differential inclusion; a-priori boundedness in total on a set

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UDC

517.51

Pages

1494-1503

References

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Received

2015-05-13

Section of issue

Scientific articles

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