Geometric theory and feedback invariants of generalized linear systems: A matrix pencil approach

1989 ◽  
Vol 8 (3) ◽  
pp. 375-397 ◽  
Author(s):  
N. Karcanias ◽  
G. Kalogeropoulos
Keyword(s):  
Linear Systems ◽  
Geometric Theory ◽  
Matrix Pencil

Control Constraint Realization for Multibody Systems

2009 ◽  
Author(s):  
Alessandro Fumagalli ◽  
Pierangelo Masarati ◽  
Marco Morandini ◽  
Paolo Mantegazza
Keyword(s):  
Linear Systems ◽  
Multibody Systems ◽  
Matrix Pencil ◽  
Differential Algebraic Equations ◽  
Algebraic Equations ◽  
Control Constraint ◽  
Practical Observation ◽  
Alternative Condition ◽  
Deformable Bodies

This paper discusses the problem of control constraint realization applied to generic under-actuated multibody systems. The conditions for the realization are presented. Focus is placed on the tangent realization of the control constraint. An alternative condition is formulated, based on the practical observation that Differential-Algebraic Equations (DAE) need to be integrated using implicit algorithms, thus naturally leading to the solution of the problem in form of matrix pencil. The analogy with the representation of linear systems in Laplace’s domain is also discussed. The formulation is applied to the solution of simple, yet illustrative problems, related to rigid and deformable bodies. Some implications of considering deformable continua are addressed.

On Stability Criteria for Time-Delay Linear Systems: A Matrix Pencil Approach

1996 ◽  
Vol 29 (1) ◽  
pp. 1615-1619
Author(s):  
Silviu-Iulian Niculescu ◽  
Vlad Ionescu
Keyword(s):  
Time Delay ◽  
Linear Systems ◽  
Matrix Pencil ◽  
Stability Criteria

A Matrix Pencil Approach to the Cover Problem for Linear Systems

1992 ◽  
Vol 25 (21) ◽  
pp. 348-351
Author(s):  
N. Karcanias ◽  
D. Vafiadis
Keyword(s):  
Linear Systems ◽  
Matrix Pencil ◽  
Cover Problem

scholarly journals Superstabilization of Descriptor Continuous-Time Linear Systems via State-Feedback Using Drazin Inverse Matrix Method

Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 940
Author(s):  
Kamil Borawski
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Matrix Method ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Matrix Pencil ◽  
Inverse Matrix ◽  
Drazin Inverse ◽  
Feedback Gain ◽  
Time Linear

In this paper the descriptor continuous-time linear systems with the regular matrix pencil ( E , A ) are investigated using Drazin inverse matrix method. Necessary and sufficient conditions for the stability and superstability of this class of dynamical systems are established. The procedure for computation of the state-feedback gain matrix such that the closed-loop system is superstable is given. The effectiveness of the presented approach is demonstrated on numerical examples.

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