The following fact is known for large classes of distributed control systems: when the target is regular, there exists a regular steering control. This fact is important to prove convergence estimates of numerical algorithms for the approximate computation of the steering control. In this paper we extend this property to a class of systems with persistent memory (of Maxwell/Boltzmann type) and we show that it is possible to construct such smooth control via the solution of an optimization problem.
Regularity of the steering control for systems with persistent memory / Pandolfi, Luciano; Triulzi, Daniele. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - STAMPA. - 51:(2016), pp. 34-40. [10.1016/j.aml.2015.07.005]
Regularity of the steering control for systems with persistent memory
PANDOLFI, LUCIANO;
2016
Abstract
The following fact is known for large classes of distributed control systems: when the target is regular, there exists a regular steering control. This fact is important to prove convergence estimates of numerical algorithms for the approximate computation of the steering control. In this paper we extend this property to a class of systems with persistent memory (of Maxwell/Boltzmann type) and we show that it is possible to construct such smooth control via the solution of an optimization problem.File | Dimensione | Formato | |
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https://hdl.handle.net/11583/2659651
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