Analysis of a System of Linear Delay Differential Equations

By F. Asl, A. Galip Ulsoy. 2003

318 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Mechanical Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/33c4b99d647e8b5e406d322d6aad18d83b62a56f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. Sun Yi
2. Patrick W. Nelson
3. A. Galip Ulsoy

In Mechanical Engineering

1. Sun Yi
2. Patrick W. Nelson
3. A. Galip Ulsoy

In Statistical and Nonlinear Physics

1. Sun Yi
2. Patrick W. Nelson
3. A. Galip Ulsoy

Citations in the corpus

• Technical communique: The Lambert W function and the spectrum of some multidimensional time-delay systems (2007, unknown): “In [1] and the derivative works [22] and [23] a nice generalization for multidimensional systems has been given using a matrix version of the Lambert W function.”
• Eigenvalue Assignment via the Lambert W Function for Control of Time-delay Systems (2010, methodology): “Note that Wk Hk denotes the matrix Lambert W function that satisfies the definition (Asl and Ulsoy, 2003), Wk Hk ek Hk Hk (44)”
• Time-Delay Systems: Analysis and Control Using the Lambert W Function (2010, methodology): “To find more effective methods, an analytic approach to obtain the complete solution of systems of delay differential equations based on the concept of the Lambert W function, which has been known to be useful to analyze DDEs (Corless et al., 1996), was developed in (Asl and Ulsoy, 2003).”