Abstract. This paper tackles theoretically the question of the structural stability of biological regulation networks subjected to the influence of their environment. The model of...
We investigate limits of performance in reference-tracking and path-following and highlight an essential difference between them. For a class of nonlinear systems, we show that in...
We consider networks of input-to-state dynamically stable (ISDS) systems and use a small-gain condition to assure the ISDS property for their interconnection. Under this small-gai...
— We consider the problem of small-gain analysis of asymptotic behavior in interconnected nonlinear dynamic systems. Mathematical models of these systems are allowed to be uncert...
Ivan Tyukin, Erik Steur, Henk Nijmeijer, Cees van ...
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...