One of the general methods in linear control theory is based on harmonic and non-harmonic Fourier series. The key of this approach is the establishment of various suitable adaptations and generalizations of the classical Parseval equality. A new and systematic approach was begun in our papers [1]-[4] in collaboration with Baiocchi. Many recent results of this kind, obtained through various Ingham-type theorems, were exposed recently in [9]. Although this work concentrated on continuous models, in connection with numerical simulations a natural question is whether these results also admit useful discrete versions. The purpose of this paper is to establish discrete versions of various Ingham-type theorems by using our approach. They imply the earlier continuous results by a simple limit process.
Semi-discrete Ingham-type inequalities / Vilmos, Komornik; Loreti, Paola. - In: APPLIED MATHEMATICS AND OPTIMIZATION. - ISSN 0095-4616. - STAMPA. - 55:2(2007), pp. 203-218. ((Intervento presentato al convegno 22nd IFIP TC7 Conference on System Modeling and Optimization tenutosi a Turin, ITALY nel JUL 18-22, 2005 [10.1007/s00245-006-0888-8].
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
Titolo: | Semi-discrete Ingham-type inequalities | |
Autori: | ||
Data di pubblicazione: | 2007 | |
Rivista: | ||
Citazione: | Semi-discrete Ingham-type inequalities / Vilmos, Komornik; Loreti, Paola. - In: APPLIED MATHEMATICS AND OPTIMIZATION. - ISSN 0095-4616. - STAMPA. - 55:2(2007), pp. 203-218. ((Intervento presentato al convegno 22nd IFIP TC7 Conference on System Modeling and Optimization tenutosi a Turin, ITALY nel JUL 18-22, 2005 [10.1007/s00245-006-0888-8]. | |
Handle: | http://hdl.handle.net/11573/14217 | |
Appartiene alla tipologia: | 01a Articolo in rivista |