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  1. Mathematics of Control, Signals, and Systems
  2. Mathematics of Control, Signals, and Systems : Volume 26
  3. Mathematics of Control, Signals, and Systems : Volume 26, Issue 3, September 2014
  4. Robustness of stability of time-varying index-1 DAEs
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Mathematics of Control, Signals, and Systems : Volume 29
Mathematics of Control, Signals, and Systems : Volume 28
Mathematics of Control, Signals, and Systems : Volume 27
Mathematics of Control, Signals, and Systems : Volume 26
Mathematics of Control, Signals, and Systems : Volume 26, Issue 4, December 2014
Mathematics of Control, Signals, and Systems : Volume 26, Issue 3, September 2014
A compendium of comparison function results
Null controllability of a linear KdV equation on an interval with special boundary conditions
Robustness of stability of time-varying index-1 DAEs
Recovering the observable part of the initial data of an infinite-dimensional linear system with skew-adjoint generator
Asymptotic behaviour of infinite chains of coupled kinematic points: second-order equations
Mathematics of Control, Signals, and Systems : Volume 26, Issue 2, June 2014
Mathematics of Control, Signals, and Systems : Volume 26, Issue 1, March 2014
Mathematics of Control, Signals, and Systems : Volume 25
Mathematics of Control, Signals, and Systems : Volume 24
Mathematics of Control, Signals, and Systems : Volume 23
Mathematics of Control, Signals, and Systems : Volume 22
Mathematics of Control, Signals, and Systems : Volume 21
Mathematics of Control, Signals, and Systems : Volume 20
Mathematics of Control, Signals, and Systems : Volume 19
Mathematics of Control, Signals, and Systems : Volume 18
Mathematics of Control, Signals, and Systems : Volume 17
Mathematics of Control, Signals, and Systems : Volume 16
Mathematics of Control, Signals, and Systems : Volume 15
Mathematics of Control, Signals, and Systems : Volume 14
Mathematics of Control, Signals, and Systems : Volume 13
Mathematics of Control, Signals, and Systems : Volume 12
Mathematics of Control, Signals, and Systems : Volume 11
Mathematics of Control, Signals, and Systems : Volume 10

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Robustness of stability of time-varying index-1 DAEs

Content Provider SpringerLink
Author Berger, Thomas
Copyright Year 2013
Abstract We study exponential stability and its robustness for time-varying linear index-1 differential-algebraic equations. The effect of perturbations on the leading coefficient matrix is investigated. An appropriate class of allowable perturbations is introduced. Robustness of exponential stability with respect to a certain class of perturbations is proved in terms of the Bohl exponent and perturbation operator. Finally, a stability radius involving these perturbations is introduced and investigated. In particular, a lower bound for the stability radius is derived. The results are presented by means of illustrative examples.
Starting Page 403
Ending Page 433
Page Count 31
File Format PDF
ISSN 09324194
Journal Mathematics of Control, Signals, and Systems
Volume Number 26
Issue Number 3
e-ISSN 1435568X
Language English
Publisher Springer London
Publisher Date 2014-01-01
Publisher Place London
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Time-varying linear differential-algebraic equations Exponential stability Robustness Bohl exponent Perturbation operator Stability radius Systems Theory, Control Control, Robotics, Mechatronics Communications Engineering, Networks
Content Type Text
Resource Type Article
Subject Control and Optimization Applied Mathematics Signal Processing Control and Systems Engineering
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