The published tracking methods differ in many aspects such as the speed, the complexity of the model of the tracked entity, the (geometric) transformations assumed, the mode of operation (casual and non-causal), the ability to adapt and learn, the robustness to occlusion and assumptions about the observer. I will review the dataset used in recent publications and show that the ”tracker space” i...

We consider a class of output feedback stabilization problems for chemostats with two species. We design dilution rate feedbacks that stabilize a componentwise positive equilibrium. Our feedbacks only depend on the sum of the species levels. The novelty of our treatment is in our dropping the usual condition on the relative sizes of the growth yield constants.

We define a Byrnes-Isidori form for a class of infinite-dimensional systems with relative degree r and show that any system belonging to this class can be transformed into this form. We also analyze the concept of (stable) zero dynamics and show that it is, together with the Byrnes-Isidori form, instrumental for static proportional high-gain output feedback stabilization. Moreover, we show that...

We solve the problem of stabilizing a general class of linear first-order hyperbolic systems. Considered systems feature an arbitrary number of coupled transport PDEs convecting in either direction. Using the backstepping approach, we derive a full-state feedback law and a boundary observer enabling stabilization by output feedback. Unlike previous results, finitetime convergence to zero is ach...

Science at UIC for its support and enjoyable environment for my study and research. iv ACKNOWLEDGMENTS (Continued)

We consider linear systems withm inputs, p outputs and McMillan degree n, such that n = mp. If both m and p are even, we show that there is a non-empty open (in the usual topology) subset U of such systems, where the real pole placement map is not surjective. It follows that for each system in U , there exists an open set of pole configurations, symmetric with respect to the real line, which ca...

We consider linear systems with inner state of dimension n, with m inputs and p outputs, such that n = mp, min{m,p} = 2 and max{m, p} is even. We show that for each (m,n, p) satisfying these conditions, there is a non-empty open subset U of such systems, where the real pole placement map is not surjective. It follows that for systems in U , there exist open sets of pole configurations which can...