# On the eigenstructure assignment of delay-differential systems

@article{Boudellioua2007OnTE, title={On the eigenstructure assignment of delay-differential systems}, author={Mohamed Salah Boudellioua}, journal={The International Journal of Contemporary Mathematical Sciences}, year={2007}, volume={2}, pages={951-959} }

Department of Mathematics and Statistics Sultan Qaboos University P.O. Box 36, Al-Khodh, 123, Oman boudell@squ.edu.om Abstract A standard canonical form is established for a class of neutral delaydifferential systems. It is shown that strict system equivalence provides the connection between a given strongly controllable polynomial system matrix and the resulting canonical form. Using this canonical form, an algorithm is given for the eigenstructure assignment of a class of neutral delay…

## One Citation

Computation of a canonical form for neutral delay-differential systems

- Mathematics
- 2015

Abstract: In this paper, symbolic computation techniques are used to obtain a canonical form for polynomial matrices arising from linear delay-differential systems of the neutral type. The canonical…

## References

SHOWING 1-10 OF 11 REFERENCES

Coprimeness in multidimensional system theory and symbolic computation

- Computer Science
- 1993

During the last twenty years the theory of linear algebraic and high-order differential equation systems has been greatly researched and the structure of such systems is well understood.

On the Existence of Minimal Realizations of Linear Dynamical Systems over Noetherian Integral Domains

- MathematicsJ. Comput. Syst. Sci.
- 1979

A several complex variables approach to feedback stabilization of linear neutral delay-differential systems

- MathematicsMathematical systems theory
- 2005

A solution to the problem of uniform asymptotic stabilization of neutral delay differential systems by a suitable choice of linear feedback law is presented using complex analysis in several variables in a Banach algebra context and a graphical criterion, in the spirit of the multi-dimensional Nyquist theory, is presented for formal stability of D.

On an operator theory of linear systems with pure and distributed delays

- Mathematics1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes
- 1975

A representation theory based on convolution operations is developed for a large class of linear systems containing pure and distributed delays in state and control. In terms of this framework a…

Realization algorithms for systems over a principal ideal domain

- Mathematics, Computer ScienceMathematical systems theory
- 2005

It is shown that Ho's algorithm and an algorithm due to Zeiger can be generalized to the ring case and a recursive realization algorithm, including some results concerning the partial realization problem, is presented.

Further observations concerning the strict system equivalence of polynomial system matrices over R[s,z]

- Mathematics
- 1989

Abstract Previous studies concerning the strict equivalence of polynomial system matrices over ℝ[s, z] are continued, with particular reference to conditions under which particular forms of such…

Topics in Multidimensional Linear Systems Theory

- Art
- 2000

approche comportementale # causalite # systeme lineaire multidimensionnel # factorisation de nombres premiers # matrice rationnelle multivariee # controlabilite # trajectoire concatenable #…

Boudellioua, Further observations concerning the strict system equivalence of polynomial matrices over R[s, z

- Int. J. Control,
- 1989