A note on the necessary conditions for the algebraic Riccati equation Academic Article

abstract

• We derive some useful and easily computable necessary conditions for the existence of a positive semi- definite solution to the algebraic Ricatti equation (ARE). A motivating example is given to highlight the usefulness of the conditions for controller and observer designs for nonlinear systems. Further, an upper bound on the trace of the solution to the ARE is also derived. Institute of Mathematics and its Applications 2005: All rights reserved.

authors

• Pagilla, Prabhakar

published proceedings

• IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION

author list (cited authors)

• Zhu, Y., & Pagilla, P. R.

citation count

• 3

complete list of authors

• Zhu, Yongliang||Pagilla, Prabhakar R

publication date

• June 2005

publisher

• Oxford University Press (OUP)  Publisher

published in

• IMA Journal of Mathematical Control and Information  Journal

keywords

• Algebraic Ricatti Equations (are)
• Nonlinear Systems
• Trace Bounds

Digital Object Identifier (DOI)

• 10.1093/imamci/dni017

start page

• 181

end page

• 186

volume

• 22

issue

• 2

URL

• http://dx.doi.org/10.1093/imamci/dni017