Analysis and minimization of L/sub 2/-sensitivity for linear systems and two-dimensional state-space filters using general controllability and observability Gramians

2002 ◽  
Vol 49 (9) ◽  
pp. 1279-1289 ◽  
Author(s):  
T. Hinamoto ◽  
S. Yokoyama ◽  
T. Inoue ◽  
W. Zeng ◽  
Wu-Sheng Lu
Keyword(s):  
State Space ◽  
Linear Systems ◽  
Two Dimensional ◽  
Dimensional State Space ◽  
Controllability And Observability

scholarly journals Estimating Direction of Arrival by Using Two-Dimensional State-Space Balance Method

2017 ◽  
Vol 2017 ◽  
pp. 1-5
Author(s):  
Jun Wang ◽  
Hong Xiang ◽  
Shaoming Wei ◽  
Zhongsheng Sun
Keyword(s):  
State Space ◽  
Elevation Angle ◽  
Matrix Pencil ◽  
Direction Of Arrival ◽  
Unitary Matrix ◽  
Two Dimensional ◽  
Rectangular Array ◽  
Matrix Pencil Method ◽  
Dimensional State Space ◽  
Controllability And Observability

A study of a two-dimensional state-space balance (2D SSB) method for estimating direction of arrival (DOA) for uniform rectangular array (URA) is presented in this letter. The comprehensive utilization of controllability and observability matrices and automatic pairing technique are considered in this method by using the single snapshot. Therefore, the DOAs of elevation angle and azimuth angle can pair automatically and acquire better estimation performance compared with 2D matrix pencil method or unitary matrix pencil method. In addition, the proposed method can handle correlated signals directly without preprocessing. Simulation is conducted to verify the effectiveness of the proposed method.

On the Nonlinear Observability of Polynomial Dynamical Systems

2021 ◽  
Vol 1 (1) ◽  
pp. 88-94
Author(s):  
Daniel Gerbet ◽  
Klaus Röbenack
Keyword(s):  
Dynamical Systems ◽  
Nonlinear Systems ◽  
State Space ◽  
Polynomial Dynamical Systems ◽  
Higher Dimensional ◽  
Dimensional State Space ◽  
System Properties ◽  
Controllability And Observability ◽  
Important System ◽  
Nonlinear Observability

Controllability and observability are important system properties in control theory. These properties cannot be easily checked for general nonlinear systems. This paper addresses the local and global observability as well as the decomposition with respect to observability of polynomial dynamical systems embedded in a higher-dimensional state-space. These criteria are applied on some example system.

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