The use of comparison functions has become standard in systems and control theory,
particularly for the purposes of studying stability properties. The use of these functions …

We analyze the stability of general nonlinear discrete-time systems controlled by an optimal
sequence of inputs that minimizes an infinite-horizon discounted cost. First, assumptions …

We demonstrate the equivalence of robust global asymptotic stability (GAS) of the origin and
the existence of a smooth Lyapunov function for difference inclusions defined by upper …

Lyapunov's second or direct method is one of the most widely used techniques for
investigating stability properties of dynamical systems. This technique makes use of an …

Feedback optimization is a control paradigm that enables physical systems to autonomously
reach efficient operating points. Its central idea is to interconnect optimization iterations in …

Incremental input/output-to-state stability (i-IOSS) is a popular characterization of
detectability for nonlinear systems. For instance, it is known that any system that admits a …

Although there have been many recent papers on the robust stability of full information
estimation (FIE) and moving horizon estimation (MHE), all existing results are limited in …

Active driver assistance systems are able to assist the driver in enhancing passenger
comfort, road holding, the efficiency and safety of transport, etc. At the same time the …

A constructive tool of nonlinear control system design, the method of control Lyapunov
functions (CLFs), has found numerous applications in stabilization problems for continuous …

A central tool in systems theory for synthesizing control laws that achieve stability are control
Lyapunov functions (CLFs). Classically, a CLF enforces that the resulting closed-loop state …