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A note on periodic solutions of matrix riccati differential equations
, Article Applied Mathematics E - Notes ; Volume 21 , 2021 , Pages 179-186 ; 16072510 (ISSN) ; Mokhtarzadeh, M. R ; Pournaki, M. R ; Razani, A ; Sharif University of Technology
Tsing Hua University
2021
Abstract
In this note, we show that under certain assumptions the matrix Riccati differential equation X′ = A(t)X + XB(t)X + C(t) with periodic coeffi cients admits at least one periodic solution. Also, we give an illustrative example in order to indicate the validity of the assumptions and the novelty of our result. © 2021, Tsing Hua University. All rights reserved
A note on periodic solutions of Riccati equations
, Article Nonlinear Dynamics ; Volume 62, Issue 1-2 , 2010 , Pages 119-125 ; 0924090X (ISSN) ; Pournaki, M. R ; Razani, A ; Sharif University of Technology
2010
Abstract
In this note, we show that under certain assumptions the scalar Riccati differential equation x′=a(t)x+b(t)x 2+c(t) with periodic coefficients admits at least one periodic solution. Also, we give two illustrative examples in order to indicate the validity of the assumptions
Observer-free control of satellite attitude using a single vector measurement
, Article IEEE Transactions on Aerospace and Electronic Systems ; Vol. 50, issue. 3 , 2014 , pp. 2070-2081 ; ISSN: 00189251 ; Namvar, M ; Sharif University of Technology
Abstract
The existing methods in attitude control of satellites are based on using the estimate of satellite attitude, which is usually generated by using multiple vector measurements. In this paper we propose an output feedback controller that directly uses a single vector measurement and does not use an attitude estimator. The output feedback gain is computed by solving a generalized Riccati differential equation (GRDE). The existence of a solution to the GRDE depends on a uniform controllability condition