Sensitivity to infinitesimal delays in neutral equations

SIAM Journal on Control and Optimization

Volumn 40, Issue 4, 2002, Pages 1134-1158

  Michiels, W ^a   Engelborghs, K ^a   Roose, D ^a   Dochain, D ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Characteristic roots; Neutral equation; Sensitivity

Indexed keywords

BOUNDARY CONDITIONS; CLOSED LOOP CONTROL SYSTEMS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENCE EQUATIONS; PERTURBATION TECHNIQUES; POLYNOMIALS; ROBUSTNESS (CONTROL SYSTEMS); SENSITIVITY ANALYSIS; SPECTRUM ANALYSIS; STATE FEEDBACK; TRANSFER FUNCTIONS; VECTORS;

CHARACTERISTIC ROOTS; INFINITESIMAL DELAYS; NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION; SMALL FEEDBACK DELAY;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0036340768     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012999355071     Document Type: Article

References (22)

1. On the zeros of exponential polynomials
2. Resonant codimension two bifurcation in a neutral functional-differential equation
3. Not all feedback stabilized hyperbolic systems are robust with respect to small time delays in their feedbacks
4. Two examples of ill-posedness with respect to time delays revisited
5. An example on the effect of time delays in boundary feedback stabilization of wave equations
6. Some second-order vibrating systems cannot tolerate small time delays in their damping
7. Introduction to functional differential equations
8. Effects of delays on dynamics
9. Effectiveness and robustness with respect to time delays of boundary feedback stabilization in one-dimensional viscoelasticity
10. Stability of functional differential equations
11. Introduction to the theory and application of functional differential equations
12. Destabilizing effects of small time-delays on feedback-controlled descriptor systems
13. The effect of small time-delays on the closed-loop stability of boundary control systems
14. Conditions for robustness and nonrobustness of the stability of feedback control systems with respect to small delays in the feedback loop
15. The effect of small delays in the feedback loop on the stability of neutral systems
16. Sensitivity to infinitesimal delays in neutral equations
17. On the stabilization and stability robustness against small delays of some damped wave equations
18. System identification for limit cycling systems: A case study for combustion instabilities
19. Robustness with respect to delays for exponential stability of distributed parameter systems