Skip to main content
Log in

Controllability of Linear Algebraic Differential Systems

  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

A controllable linear system of ordinary differential equations not solvable for the derivative of the vector state function of the system is investigated. The coefficient matrix at the derivative of the vector state function is assumed to be degenerate at all points of the domain of definition. Controllability criteria for systems with constant and variable coefficient matrices are formulated in terms of input data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. Dai, L., Singular Control Systems. Lecture Notes in Control and Information Sciences, Berlin: Springer-Verlag, 1989, vol. 118.

    Google Scholar 

  2. Muller, P.C., Stability and Optimal Control of Nonlinear Descriptor Systems: A Survey, Appl. Math. Comput. Sci., 1998, vol. 8, no 2, pp. 269–286.

    Google Scholar 

  3. Chistyakov, V.F., Algebro-differentsial'nye operatory s konechnomernym yadrom (Algebraic Differential Operators with Finite-Dimensional Kernel), Novosibirsk: Nauka, 1996.

    Google Scholar 

  4. Boyarintsev, Yu.E. and Chistyakov, V.F., Algebro-differentsial'nye sistemy. Metody chislennogo resheniya i issledovaniya (Algebraic Differential Systems: Numerical Solution and Investigation Methods), Novosibirsk: Nauka, 1998.

    Google Scholar 

  5. Shcheglova, A.A., Investigation and Solution of Degenerate Systems of Ordinary Differential Equations via Substitution of Variables, Sib. Mat. Zh., 1995, vol. 36, no. 6, pp. 1436–1445.

    Google Scholar 

  6. Boyarintsev, Yu.E., Regulyarnye i singulyarnye sistemy lineinykh obyknovennykh differentsial'nykh uravnenii (Regular and Singular Systems of Linear Ordinary Differential Equations), Novosibirsk: Nauka, 1980.

    Google Scholar 

  7. Campbell, S.L. and Petzold, L.R., Canonical Forms and Solvable Singular Systems of Differential Equations, SIAM J. Alg. Disc. Math., 1983, no. 4, pp. 517–521.

  8. Gantmakher, F.R., Teoriya matrits, Moscow: Nauka, 1988. Translated under the title The Theory of Matrices, New York: Chelsea, 1959.

    Google Scholar 

  9. D'Angelo, H., Linear Time-Varying Systems: Analysis and Synthesis, Boston: Allyn and Bacon, 1970. Translated under the title Lineinye sistemy s peremennymi parametrami. Analiz i sintez, Moscow: Mashinostroenie, 1974.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chistyakov, V.F., Shcheglova, A.A. Controllability of Linear Algebraic Differential Systems. Automation and Remote Control 63, 399–412 (2002). https://doi.org/10.1023/A:1014746232524

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1014746232524

Keywords

Navigation