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It is well known that input-free stable linear systems with nonzero initial conditions may experience large deviations of the trajectory from the origin prior to converging to zero. Analysis of the transients of discrete-time systems is the subject of this paper. Simple LMI-based upper bounds on deviations are presented, and the same-flavor stabilizing feedback design procedure aimed at minimizing...
The problem considered in this paper is the minimization of expected cumulative losses in a stochastic system. The losses over time horizon are formed by the values of an unknown loss function at the consecutive jump times of a renewal process. The loss is assumed to be a convex function of a vector parameter, and the only available information is represented by an oracle which provides stochastic...
We propose a simple efficient machinery for computing “nearly exact” boundary of the image of euclidean ball under multidimensional quadratic mapping. It is based on necessary conditions for a point to be mapped to the boundary. Several special cases are considered, the results of numerical simulations are presented, in particular, as applied to multiobjective optimization and Pareto set discovery.
Consider the classical state feedback design in the linear system ẋ = Ax + Bu subject to performance specifications with an additional requirement that the control input vector u = Kx has as many zero entries as possible. The corresponding gain K is referred to as a row-sparse controller. We propose an approach to approximate solution of this kind of nonconvex problems by formulating the proper convex...
The paper addresses the problem of row straightening of agents via local interactions. A nonlinear control protocol that ensures finite-time equidistant allocation on a segment is proposed. With the designed protocol, any settling time can be guaranteed regardless of the initial conditions. A robust modification of the control algorithm based on sliding mode control technique is presented. The case...
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