Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0987.93004
Chen, Pengnian; Qin, Huashu
Controllability of linear systems in Banach spaces. (English)
[J] Syst. Control Lett. 45, No.2, 155-161 (2002). ISSN 0167-6911

Summary: The problem of controllability of linear systems in Banach spaces is considered. First, some properties of dual semigroups with respect to the Lebesgue measure is presented. Then, based on the properties, the criteria for controllability in reflexive Banach spaces are extended to general Banach spaces and some new criteria for controllability are established. An example is presented to show that the scope of controllable systems can be enlarged if the non-traditional space of control functions is used.

MSC 2000:: *93B05 Controllability
93C25 Control systems in abstract spaces
93B28 Operator-theoretic methods in systems theory
34G10 Linear ODE in abstract spaces
47N70 Appl. of operator theory in systems theory, circuits, etc.

Keywords: controllability; Banach spaces; semigroups; linear systems; linear operators

Cited in: Zbl 1129.93329

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]