Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 0581.93051
Sontag, Eduardo D.
An introduction to the stabilization problem for parametrized families of linear systems. (English)
[A] Linear algebra and its role in systems theory, Proc. AMS-IMS-SIAM Conf., Brunswick/Maine 1984, Contemp. Math. 47, 369-400 (1985).

[For the entire collection see Zbl 0568.00005.] \par The paper represents a concise coverage of the most significant known facts about the stabilization of parametrized families of linear systems. Several fundamental theorems with respect to pole-assignability using static and dynamic controllers are reviewed in the first part. \par The following two sectins deal with stabilization problems for controllable and asycontrollable families, the special cases of ring controllability respectively of ring-asycontrollability being fully developped. \par The work ends with the demonstration of a new result: the pointwise asycontrollable continuous-time polynomial of rational families, and discrete-time ratinal families are asycontrollable and can be dynamically stabilized.
[O.Pastravanu]

MSC 2000:: *93D15 Stabilization of systems by feedback
93B35 Sensitivity (robustness) of control systems
93C05 Linear control systems
93B05 Controllability
93B25 Algebraic theory of control systems

Keywords: stabilization; parametrized families of linear systems; asycontrollability

Citations: Zbl 0568.00005

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

	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]