The following information was submitted:
Transactions: INTERNATIONAL JOURNAL of MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES
Transactions ID Number: 19-387
Full Name: Tomoaki Hashimoto
Position: Assistant Professor
Age: ON
Sex: Male
Address: 1-3 Machikaneyama, Toyonaka, Osaka 560-8531, Japan
Country: JAPAN
Tel: +81-6-6850-6358
Tel prefix:
Fax: +81-6-6850-6341
E-mail address: thashi@sys.es.osaka-u.ac.jp
Other E-mails: info@thashi.net
Title of the Paper: feedback stabilization of abstract delay systems on banach lattices
Authors as they appear in the Paper: Tomoaki Hashimoto
Email addresses of all the authors:
Number of paper pages: 9
Abstract: In this paper, we examine the stabilization problem of systems described by partial differential equations and delay differential equations. The control of a partial differential equation with a time delay is a challenging problem with many applications that include physical, chemical, biological, economic, thermal, and fluid systems. The semigroup method is a unified approach to addressing systems that include ordinary differential equations, partial differential equations, and delay differential equations. Using semigroup theory, we introduce the concept of an abstract delay system that can be used to characterize the behavior of a wide class of dynamical systems. This paper examines the stabilization problem of an abstract delay system on a Banach lattice on the basis of semigroup theory. To tackle this problem, we take advantage of the properties of a non-negative Co semigroup on a Banach lattice. The objective of this paper is to propose a stabilization method!
for an abstract delay system on a Banach lattice. We derive a sufficient condition under which an abstract delay system is delay-independently stabilizable. Furthermore, we provide illustrative examples to verify the effectiveness of the proposed method.
Keywords: Stabilization, Partial differential equation, Time delay, Semigroup, Banach lattice, Infinite dimensional system
EXTENSION of the file: .pdf
Special (Invited) Session: Stabilization of Abstract Delay Systems on Banach Lattices
Organizer of the Session: 647-309
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