This article is cited in 5 papers

Solution of the Control Problem for a Linear Descriptor System with Rectangular Coefficient Matrix

S. P. Zubova

Voronezh State University

Abstract: We pose a control problem for linear stationary algebro-differential system whose coefficients are rectangular matrices. We obtain a controllability criterion for the partially given output function and the boundary values of the state function. We construct a control function and a state function under minimal smoothness requirements on the output function.

Keywords: linear descriptor system, control problem, algebro-differential system, controllability criterion, completely controllable system, pseudoinverse matrix.

UDC: 517.937

Received: 17.02.2010

DOI: 10.4213/mzm7834

 English version: Mathematical Notes, 2010, 88:6, 844–854

Bibliographic databases:

• 
• 
•