On impulsive algebraic multiplicities of linear time-invariant singular systems under feedback

Automatica ◽  
2005 ◽  
Vol 41 (9) ◽  
pp. 1657-1662 ◽  
Author(s):  
Runyi Yu
Keyword(s):  
Linear Time ◽  
Singular Systems ◽  
Linear Time Invariant ◽  
Algebraic Multiplicities ◽  
Time Invariant

scholarly journals On Controllability for Linear Differential-Algebraic Control Systems Using Equivalent Form

2021 ◽  
Vol 20 ◽  
pp. 264-270
Author(s):  
Abed Makreloufi ◽  
Mohammed Benharrat
Keyword(s):  
Control Systems ◽  
Linear Time ◽  
Singular Systems ◽  
Equivalent Form ◽  
Real Life ◽  
Linear Time Invariant ◽  
Life Problems ◽  
Linear Differential ◽  
Time Invariant ◽  
Impulse Controllability

We investigate different concepts related to the controllability of linear constant coefficient differentialalgebraic equations. Concepts like impulse controllability, controllability at infinity, strong and complete controllability are described and defined by using an equivalent form for linear time-invariant singular systems. Some real-life problems are given to illustrate the presented theory.

Adaptive Variable Structure Control for Uncertain Linear Time-Invariant Delay Singular Systems

2012 ◽  
Vol 433-440 ◽  
pp. 3734-3740
Author(s):  
Bo Meng ◽  
Cun Chen Gao ◽  
Shu Hong Tang
Keyword(s):  
Control Strategy ◽  
Sliding Mode ◽  
Linear Time ◽  
Singular Systems ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Delay Systems ◽  
Structure Control ◽  
Linear Time Invariant ◽  
Time Invariant

This paper discusses the control problems of singular linear time-invariant delay systems with uncertainties. A new adaptive variable structure control strategy is given by Lyapunov stability theory. The invariance of sliding mode is proved in the circumstances of the external disturbance and parameter perturbation with matching conditions. Through memory and memoryless of the linear state feedback, the control strategy ensure that system reaches sliding mode in finite time and the closed-loop system is global asymptotic stable. Simulation results further show that the strategy is feasible and effective.

scholarly journals Conditions for convergence of the fundamental matrix of linear time-invariant time-delayed singular systems

2002 ◽  
Vol 31 (8) ◽  
pp. 463-475 ◽  
Author(s):  
Branko Saric
Keyword(s):  
Fundamental Matrix ◽  
Main Part ◽  
Linear Time ◽  
Singular Systems ◽  
Linear Time Invariant ◽  
Introductory Part ◽  
Time Invariant

In the introductory part of this paper the so-called generalBromwich-Wagner'stheorem has been generalized. Throughout the main part of the paper, an attempt has been made to derive conditions for convergence of the fundamental matrix of linear time-invariant time-delayed singular systems. The paper ends with a counterexample pointing out the fact that certain results of the theory of linear time-invariant singular systems are incorrect.

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