Delay Systems pp 243-256 | Cite as

Eigenvalue Based Algorithms and Software for the Design of Fixed-Order Stabilizing Controllers for Interconnected Systems with Time-Delays

  • Wim MichielsEmail author
  • Suat Gumussoy
Part of the Advances in Delays and Dynamics book series (ADVSDD, volume 1)


An eigenvalue based framework is developed for the stability analysis and stabilization of coupled systems with time-delays, which are naturally described by delay differential algebraic equations. The spectral properties of these equations are analyzed and their stability properties are studied, taking into account the effect of small delay perturbations. Subsequently, numerical methods for stability assessment and for designing stabilizing controllers with a prescribed structure or order, based on a direct optimization approach, are briefly addressed. The effectiveness of the approach is illustrated with a software demo. The paper concludes by pointing out the similarities with the computation and optimization of \(\mathcal{H}_{\infty}\) norms.


Exponential Stability Characteristic Root Static Controller Strong Stability Null Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Department of Computer ScienceKU LeuvenHeverleeBelgium
  2. 2.MathWorksNatickUSA

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