5 papers · 1 filter
On the exactness of a stability test for Lur'e systems with slope-restricted nonlinearities
Andrey Kharitenko, Carsten W. Scherer
In this note it is shown that the famous multiplier absolute stability test of R. O'Shea, G. Zames and P. Falb is necessary and sufficient if the set of Lur'e interconnections is l…
Robust Differential Dynamic Programming
Dennis Gramlich, Carsten W. Scherer, Christian Ebenbauer
Differential Dynamic Programming is an optimal control technique often used for trajectory generation. Many variations of this algorithm have been developed in the literature, incl…
Convex Synthesis of Accelerated Gradient Algorithms
Carsten Scherer, Christian Ebenbauer
We present a convex solution for the design of generalized accelerated gradient algorithms for strongly convex objective functions with Lipschitz continuous gradients. We utilize i…
Convex Synthesis of Accelerated Gradient Algorithms for Optimization and Saddle Point Problems using Lyapunov functions
Dennis Gramlich, Christian Ebenbauer, Carsten W. Scherer
This paper considers the problem of designing accelerated gradient-based algorithms for optimization and saddle-point problems. The class of objective functions is defined by a gen…
Stability analysis by dynamic dissipation inequalities: On merging frequency-domain techniques with time-domain conditions
Carsten W. Scherer, Joost Veenman
In this paper we provide a complete link between dissipation theory and a celebrated result on stability analysis with integral quadratic constraints. This is achieved with a new s…