Design of minimax controllers for linear systems with non-zero initial states under specified information structures

1992 ◽  
Vol 2 (1) ◽  
pp. 1-30 ◽  
Author(s):  
Garry Didinsky ◽  
Tamer Başar
Keyword(s):  
Linear Systems ◽  
Information Structures ◽  
Initial States

Asymptotic Stability of 2-D Positive Linear Systems with Orthogonal Initial States

2013 ◽  
Vol 39 (9) ◽  
pp. 1543-1546 ◽  
Author(s):  
Qiao ZHU ◽  
Jia-Rui CUI ◽  
Guang-Da HU
Keyword(s):  
Asymptotic Stability ◽  
Linear Systems ◽  
Initial States

scholarly journals SET MEMBERSHIP ESTIMATION WITH A SEPARATE RESTRICTION ON INITIAL STATE AND DISTURBANCES

2021 ◽  
Vol 7 (1) ◽  
pp. 160
Author(s):  
Polina A. Yurovskikh
Keyword(s):  
Linear Systems ◽  
Dynamic Equation ◽  
Estimation Problem ◽  
Observation Equation ◽  
Compact Set ◽  
Initial State ◽  
Uncertain Disturbances ◽  
Set Membership ◽  
Information Set ◽  
Initial States

We consider a set membership estimation problem for linear non-stationary systems for which initial states belong to a compact set and uncertain disturbances in an observation equation are integrally restricted. We provethat the exact information set of the system can be approximated by a set of external ellipsoids in the absence of disturbances in the dynamic equation.There are three examples of linear systems. Two examples illustrate the main theorem of the paper, the latter one shows the possibility of generalizing the theorem to the case with disturbances in the dynamic equation.

Asymptotic Stability of 2-D Positive Linear Systems with Orthogonal Initial States

2014 ◽  
Vol 39 (9) ◽  
pp. 1543-1546
Author(s):  
Qiao ZHU ◽  
Jia-Rui CUI ◽  
Guang-Da HU
Keyword(s):  
Asymptotic Stability ◽  
Linear Systems ◽  
Initial States
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