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Discrete-Time, Linear Periodic Time-Varying System Norm Estimation Using Finite Time Horizon Transfer Operators

Przemyslaw Orlowski   ORCID icon orcid.org/0000-0001-6407-9668 ; Faculty of Electrical Engineering, University of Technology, Szczecin, Poland

Puni tekst: engleski, pdf (951 KB) str. 325-332 preuzimanja: 1.403* citiraj
APA 6th Edition
Orlowski, P. (2010). Discrete-Time, Linear Periodic Time-Varying System Norm Estimation Using Finite Time Horizon Transfer Operators. Automatika, 51 (4), 325-332. Preuzeto s https://hrcak.srce.hr/65055
MLA 8th Edition
Orlowski, Przemyslaw. "Discrete-Time, Linear Periodic Time-Varying System Norm Estimation Using Finite Time Horizon Transfer Operators." Automatika, vol. 51, br. 4, 2010, str. 325-332. https://hrcak.srce.hr/65055. Citirano 15.11.2019.
Chicago 17th Edition
Orlowski, Przemyslaw. "Discrete-Time, Linear Periodic Time-Varying System Norm Estimation Using Finite Time Horizon Transfer Operators." Automatika 51, br. 4 (2010): 325-332. https://hrcak.srce.hr/65055
Harvard
Orlowski, P. (2010). 'Discrete-Time, Linear Periodic Time-Varying System Norm Estimation Using Finite Time Horizon Transfer Operators', Automatika, 51(4), str. 325-332. Preuzeto s: https://hrcak.srce.hr/65055 (Datum pristupa: 15.11.2019.)
Vancouver
Orlowski P. Discrete-Time, Linear Periodic Time-Varying System Norm Estimation Using Finite Time Horizon Transfer Operators. Automatika [Internet]. 2010 [pristupljeno 15.11.2019.];51(4):325-332. Dostupno na: https://hrcak.srce.hr/65055
IEEE
P. Orlowski, "Discrete-Time, Linear Periodic Time-Varying System Norm Estimation Using Finite Time Horizon Transfer Operators", Automatika, vol.51, br. 4, str. 325-332, 2010. [Online]. Dostupno na: https://hrcak.srce.hr/65055. [Citirano: 15.11.2019.]

Sažetak
The norm is one of the fundamental concepts of linear algebra and functional analysis. The notion of the norm is often employed in engineering, e.g. in control engineering, where main application is calculating the norm of the transfer function. Unfortunately existing methods are applicable for systems that can be described using Laplace transform, i.e. linear time-invariant (LTI) systems. An operational equivalent of the transfer function for linear timevarying systems is transfer operator. The transfer operator defined for finite time horizon can be described by finite dimensional matrix. Although for infinite time horizon the operator is infinite dimensional. In the paper a method for norm estimation of transfer operator defined on infinite time horizon is proposed. The method is applicable for linear time-varying, discrete-time systems given in general state-space form. The method takes advantage of the properties of the transfer operator norm on a finite time horizon. Theoretical considerations are complemented by numerical examples.

Ključne riječi
Norm estimation; Discrete-time systems; Time-varying systems; Non-stationary systems

Hrčak ID: 65055

URI
https://hrcak.srce.hr/65055

[hrvatski]

Posjeta: 1.681 *