Precompactness of the set of trajectories of the controllable system described by a nonlinear Volterra integral equation
DOI: https://doi.org/10.3846/13926292.2012.736088Abstract
In this paper the controllable system whose behaviour is described by a nonlinear Volterra integral equation, is studied. The set of admissible control functions is the closed ball of the space L p (p > 1) with radius µ 0 and centered at the origin. It is shown that the set of trajectories of the system is a bounded and precompact subset of the space of continuous functions.
Keywords:
nonlinear Volterra integral equation, controllable system, integral constraint, set of trajectoriesHow to Cite
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Copyright (c) 2012 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2012 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.