scholarly journals Characterization and optimization of the smoothed spectral abscissa for time‐delay systems

2019 ◽  
Vol 29 (13) ◽  
pp. 4402-4418 ◽  
Author(s):  
Marco A. Gomez ◽  
Wim Michiels
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Spectral Abscissa

scholarly journals On Pole Placement and Spectral Abscissa Characterization for Time-delay Systems

2019 ◽  
Vol 52 (18) ◽  
pp. 55-60
Author(s):  
Fazia Bedouhene ◽  
Islam Boussaada ◽  
Silviu-Iulian Niculescu
Keyword(s):  
Time Delay ◽  
Pole Placement ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Spectral Abscissa

scholarly journals Criteria for minimization of spectral abscissa of time-delay systems

2021 ◽  
Author(s):  
Zaihua Wanq
Keyword(s):  
Dynamical System ◽  
Time Delay ◽  
Characteristic Root ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Puiseux Series ◽  
Spectral Abscissa ◽  
Complex Valued ◽  
Derivatives Of

AbstractSpectral abscissa (SA) is defined as the real part of the rightmost characteristic root(s) of a dynamical system, and it can be regarded as the decaying rate of the system, the smaller the better from the viewpoint of fast stabilization. Based on the Puiseux series expansion of complex-valued functions, this paper shows that the SA can be minimized within a given delay interval at values where the characteristic equation has repeated roots with multiplicity 2 or 3. Four sufficient conditions in terms of the partial derivatives of the characteristic function are established for testing whether the SA is minimized or not, and they can be tested directly and easily.

Learning Control for Time-Delay Systems with Multi-Tasks

1995 ◽  
Vol 115 (1) ◽  
pp. 167-168
Author(s):  
Tohru Takahashi ◽  
Yoshirou Tajima ◽  
Kohji Shirane ◽  
Naoki Matsumoto
Keyword(s):  
Time Delay ◽  
Learning Control ◽  
Delay Systems ◽  
Time Delay Systems
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