scholarly journals On the existence of the stabilizing solution of generalized Riccati equations arising in zero-sum stochastic difference games: the time-varying case

2020 ◽  
Vol 26 (7) ◽  
pp. 913-951
Author(s):  
Samir Aberkane ◽  
Vasile Dragan
Keyword(s):  
Riccati Equations ◽  
Time Varying ◽  
Stabilizing Solution ◽  
Zero Sum

Nonstationary Robust Positioning Control of Flexible Structures

1995 ◽  
Author(s):  
Susumu Hara ◽  
Kazuo Yoshida
Keyword(s):  
Vibration Control ◽  
Flexible Structures ◽  
Synthesis Method ◽  
Riccati Equations ◽  
Time Varying ◽  
Criterion Function ◽  
Positioning Control ◽  
Vibrating System ◽  
Smooth Change ◽  
Time Invariant

Abstract For positioning control of such vibrating system as flexible structures, it is important to reduce vibration. In the problem, influences of such uncertainties as variations of parameters of controllers possess nonstationary characteristics. This paper presents an integrated synthesis method of both motion and vibration controller maintaining the robustness of the control by using a time-varying criterion function. In this method, a smooth change from H2 positioning control to H vibration control is realized by solving time-varying Riccati equations in stead of time-invariant Riccati equations. This method is applied to a positioning problem of flexible tower-like structure. In comparison with the former methods proposed by the authors, the usefulness of the method is verified theoretically and experimentally.

scholarly journals The Research of Periodic Solutions of Time-Varying Differential Models

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Wenjun Liu ◽  
Yingxin Pan ◽  
Zhengxin Zhou
Keyword(s):  
Periodic Solutions ◽  
Differential System ◽  
Riccati Equations ◽  
Linear Differential System ◽  
Time Varying ◽  
Linear Differential

We have studied the periodicity of solutions of some nonlinear time-varying differential models by using the theory of reflecting functions. We have established a new relationship between the linear differential system and the Riccati equations and applied the obtained results to discuss the behavior of periodic solutions of the Riccati equations.

Sign in / Sign up

Export Citation Format

Share Document