A robust state estimation for a class of uncertain linear time‐invariant descriptor systems

2020 ◽  
Author(s):  
Seyed Mohsen Saeed Jalali ◽  
Ali Akbarzadeh Kalat
Keyword(s):  
State Estimation ◽  
Linear Time ◽  
Descriptor Systems ◽  
Linear Time Invariant ◽  
Time Invariant

Robust H∞ control for uncertain linear time-invariant descriptor systems

2000 ◽  
Vol 147 (6) ◽  
pp. 648-654 ◽  
Author(s):  
J.-C. Huang ◽  
F.-R. Chang ◽  
H.-S. Wang
Keyword(s):  
Linear Time ◽  
Descriptor Systems ◽  
Linear Time Invariant ◽  
Time Invariant

Distributed state estimation for discrete-time linear time invariant systems: A survey

2019 ◽  
Vol 48 ◽  
pp. 36-56 ◽  
Author(s):  
Francisco F.C. Rego ◽  
António M. Pascoal ◽  
A. Pedro Aguiar ◽  
Colin N. Jones
Keyword(s):  
State Estimation ◽  
Discrete Time ◽  
Linear Time ◽  
Linear Time Invariant ◽  
Distributed State Estimation ◽  
Linear Time Invariant Systems ◽  
Time Invariant ◽  
Time Linear

The study of the projective transformation under the bilinear strict equivalence

2020 ◽  
Author(s):  
Grigoris I Kalogeropoulos ◽  
Athanasios D Karageorgos ◽  
Athanasios A Pantelous
Keyword(s):  
Equivalence Relation ◽  
Linear Time ◽  
Projective Transformation ◽  
Descriptor Systems ◽  
Linear Time Invariant ◽  
Projective Equivalence ◽  
Difference Systems ◽  
Matrix Pencils ◽  
Homogeneous Matrix ◽  
Time Invariant

Abstract The study of linear time invariant descriptor systems has intimately been related to the study of matrix pencils. It is true that a large number of systems can be reduced to the study of differential (or difference) systems, $S\left ( {F,G} \right )$, $$\begin{align*} & S\left({F,G}\right): F\dot{x}(t) = G{x}(t) \left(\text{or the dual, } F{x}(t) = G\dot{x}(t)\right), \end{align*}$$and $$\begin{align*} & S\left({F,G}\right): Fx_{k+1} = Gx_k \left(\text{or the dual, } Fx_k=Gx_{k+1}\right)\!, F,G \in{\mathbb{C}^{m \times n}}, \end{align*}$$and their properties can be characterized by homogeneous matrix pencils, $sF - \hat{s}G$. Based on the fact that the study of the invariants for the projective equivalence class can be reduced to the study of the invariants of the matrices of set ${\mathbb{C}^{k \times 2}}$ (for $k \geqslant 3$ with all $2\times 2$-minors non-zero) under the extended Hermite equivalence, in the context of the bilinear strict equivalence relation, a novel projective transformation is analytically derived.

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