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In this article, we demonstrate the benefits of imposing stability on data-driven Koopman
operators. The data-driven identification of stable Koopman operators (DISKO) is …

It is demonstrated how to design optimal digital controllers on a finite horizon for the linear
time-varying objects with uncertain initial conditions and external disturbances. The square …

We consider a class of well-known high-order trinomial linear difference equations and
analyze the non-asymptotic behavior of their solutions under non-zero initial conditions from …

The maximum output deviation of a linear time-varying system is defined as the worst-case
measure of the maximum value of the output Euclidean norm over a finite horizon provided …

In this paper, we extend two classes of functions classically involved in asymptotic stability
analyses for studying a maximization problem on the reachable values of a discrete-time …

A peak effect minimization problem in the free motion of linear systems is considered in the
paper. The paper proposes an iterative procedure for the peak effect minimization using a …

Concept of a maximal output deviation for linear time-varying discrete-time systems under
external disturbances and initial disturbances caused by nonzero initial state over finite …

In this paper, we solve a maximization problem where the objective function is quadratic and
convex or concave and the constraints set is the reachable values set of a convergent …

The equation presented in the title of this paper was the subject of research in numerous
papers and textbooks. It represents a linearized model of population dynamics, and, so far …