Solvability of Implicit Difference Equations

• Type: Article in International Conference Proceedings Book
• Date: 2015

Authors

Arutyunov, A (Author) Other; Pereira, F (Author) FEUP; Zhukovskiy, S (Author) Other

Conference proceedings International

Title: Lecture Notes in Electrical Engineering

Pages: 23-28

11th Portuguese Conference on Automatic Control, CONTROLO 2014

Porto, 21 July 2014 through 23 July 2014

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Other information

Authenticus ID: P-009-TQR

DOI: 10.1007/978-3-319-10380-8_3

Abstract (EN): This article concerns sufficient conditions for the solvability of implicit difference equations. These are cast in a very general framework that relies on the alpha-covering and Lipschitz properties of the implicit recursive map with respect relatively to the first and second arguments. Difference equations have a prominent role in many scientific and engineering fields and may arise due to a wide variety of reasons. These may range from the discretization of time and other variables in dynamic systems given by either ordinary or partial differential equations required by computational procedures, or from the intrinsically discrete nature of many systems. While in some of these, discrete state transitions are caused by discrete events, in others, their decentralized nature requires iterative procedures built in the control synthesis in order to achieve some kind of global consensus.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6