SDP-based approximation of stabilising solutions for periodic matrix Riccati differential equations

2016 ◽  
Vol 89 (7) ◽  
pp. 1396-1405 ◽  
Author(s):  
Sergei V. Gusev ◽  
Anton S. Shiriaev ◽  
Leonid B. Freidovich
Keyword(s):  
Differential Equations ◽  
Periodic Matrix ◽  
Riccati Differential Equations ◽  
Matrix Riccati Differential Equations

Periodic and constant solutions of matrix Riccati differential equations: n = 2

1983 ◽  
Vol 94 (3-4) ◽  
pp. 179-193
Author(s):  
David A. Sánchez
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Periodic Forcing ◽  
Riccati Differential Equations ◽  
Homogeneous Matrix ◽  
Existence Of Periodic Solutions ◽  
Matrix Riccati Differential Equations

SynopsisSeveral formulas are developed which can be used to determine constant solutions and the possible periods of periodic solutions (if any) of autonomous homogeneous matrix Riccati differential equations. These formulas are used to analyse some 2 × 2 cases, as well as to discuss the existence of periodic solutions under weak periodic forcing.

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