14 citations · 49 across the 26 of their papers we have counts for
26 papers
Self-Excited Dynamics of Discrete-Time Lur'e Models with Affinely Constrained, Piecewise-C1 Feedback Nonlinearities
Juan Paredes, Omran Kouba, Dennis S. Bernstein
Self-excited systems (SES) arise in numerous applications, such as fluid-structure interaction, combustion, and biochemical systems. In support of system identification and digital…
Euler's Equation via Lagrangian Dynamics with Generalized Coordinates
Dennis S. Bernstein, Ankit Goel, Omran Kouba
Euler's equation relates the change in angular momentum of a rigid body to the applied torque. This paper fills a gap in the literature by using Lagrangian dynamics to derive Euler…
New identities obtained from Gegenbauer series expansion
Omran Kouba
Using the expansion in a Fourier-Gegenbauer series, we prove several identities that extend and generalize known results. In particular, it is proved among other results, that \beg…
On a combinatorial identity of Chaundy and Bullard
Horst Alzer, Omran Kouba
We give two new proofs of the Chaundy-Bullard formula and we prove the "twin formula…
Self-Excited Dynamics of Discrete-Time Lur'e Systems
Juan A. Paredes, Syed Aseem Ul Islam, Omran Kouba +1
Self-excited systems arise in numerous applications, such as biochemical systems, fluid-structure interaction, and combustion. This paper analyzes a discrete-time Lur'e system with…
A Discrete-Time, Time-Delayed Lur'e Model with Biased Self-Excited Oscillations
Juan Paredes, Syed Aseem Ul Islam, Omran Kouba +1
Self-excited systems arise in many applications, such as biochemical systems, mechanical systems with fluid-structure interaction, and fuel-driven systems with combustion dynamics.…