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IMA Journal of Mathematical Control and Information Advance Access originally published online on September 26, 2008
IMA Journal of Mathematical Control and Information 2008 25(4):419-429; doi:10.1093/imamci/dnn007
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© The author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

New characterization of controllability via stabilizability and Riccati equation for LTV systems

V. N. Phat{dagger}

Institute of Mathematics, 18 Hoang Quoc Viet Road, Hanoi, Vietnam

Q. P. Ha

Centre for Autonomous Systems, Faculty of Engineering, University of Technology, Sydney NSW 2007, Australia

{dagger} Email: vnphat{at}math.ac.vn

Received on November 30, 2007; Revision received June 28, 2008. Accepted on June 28, 2008

This paper presents a new characterization of controllability via stabilizability and Riccati equation for linear time-varying systems. An equivalence is given between the global null controllability, complete stabilizability and the existence of the solution of some appropriate Riccati differential equation.

Keywords: linear time-varying systems; controllability; stabilization; Riccati equation.


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