Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1157.93519
Zhang, Liqian; Huang, Biao; Lam, James
$H_{\infty }$ model reduction of Markovian jump linear systems. (English)
[J] Syst. Control Lett. 50, No. 2, 103-118 (2003). ISSN 0167-6911

Summary: The $H_{\infty }$ model reduction problem for linear systems that possess randomly jumping parameters is studied. The development includes both the continuous and discrete cases. It is shown that the reduced order models exist if a set of matrix inequalities is feasible. An effective iterative algorithm involving linear matrix inequalities is suggested to solve the matrix inequalities characterizing the model reduction solutions. Using the numerical solutions of the matrix inequalities, the reduced order models can be obtained. An example is given to illustrate the proposed model reduction method.

MSC 2000:: *93E03 General theory of stochastic systems
93B36 $H^\infty$-control

Keywords: $H_{\infty }$ theory; Model reduction; Markovian jump systems

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]