On stability of linear switched differential algebraic equations

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2009, Pages 2156-2161

  Liberzon, Daniel ^a   Trenn, Stephan ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; LYAPUNOV FUNCTIONS; SWITCHING;

ALGEBRAIC CONSTRAINTS; ARBITRARY SWITCHING; COMMON LYAPUNOV FUNCTIONS; DIFFERENTIAL ALGEBRAIC EQUATIONS; DWELL TIME; INSTABILITY MECHANISMS; SWITCHED SYSTEM; SWITCHING SIGNALS;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 77950846257     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2009.5400076     Document Type: Conference Paper

References (11)

1. P. Kunkel and V. Mehrmann, Differential-Algebraic Equations. Analysis and Numerical Solution. Zürich, Switzerland: EMS Publishing House, 2006.
2. D. Nešić, E. Skafidas, I. M. Y. Mareels, and R. J. Evans, "Minimum phase properties for input nonaffine nonlinear systems," IEEE Trans. Autom. Control, vol.44, no.4, pp. 868-872, 1999.
3. D. Liberzon, Switching in Systems and Control, ser. Systems and Control: Foundations and Applications. Boston: Birkhäuser, 2003.
4. S. Trenn, "Regularity of distributional differential algebraic equations," submitted for publication, 2008, preprint available online, Institute for Mathematics, Ilmenau University of Technology, Preprint Number 08-24.
5. S. Trenn, "-, "Distributional differential algebraic equations," Ph.D. dissertation, Institut für Mathematik, Technische Universität Ilmenau, Ilmenau, Germany, 2009.
6. M. K. Çamlibel, W. P. M. H. Heemels, A. J. van der Schaft, and J. M. Schumacher, "Switched networks and complementarity," IEEE Trans. Circuits Syst., I, Fundam. Theory Appl., vol.50, no.8, pp. 1036-1046, 2003.
7. R. Goebel, R. G. Sanfelice, and A. R. Teel, "Hybrid dynamical systems," IEEE Control Systems Magazine, vol.29, no.2, pp. 28-93, 2009.
8. D. H. Owens and D. L. Debeljkovic, "Consistency and Liapunov stability of linear descriptor systems: A geometric analysis," IMA J. Math. Control & Information, pp. 139-151, 1985.
9. T. Berger, "Zur asymptotischen Stabilität linearer differentialal-gebraischer Gleichungen," September 2008, bachelor thesis, Institute for Mathematics, Ilmenau University of Technology.
10. K.-T. Wong, "The eigenvalue problem λTx + Sx," J. Diff. Eqns., vol.16, pp. 270-280, 1974.
11. T. Berger, A. Ilchmann, and S. Trenn, "The Quasi-Weierstraß form for regular matrix pencils," submitted for publication, 2009, preprint available online, Institute for Mathematics, Ilmenau University of Technology, Preprint Number 09-21.