2 citations · 3 across the 4 of their papers we have counts for
9 papers
Sharp approximation thresholds for power means of common-subspace volumes
Alexey Peregudin
We study how well a single -dimensional subspace can preserve volume from several positive semidefinite matrices at once. Each matrix is compressed to the subspace and scored by…
Minimal Experiments for Robust Stabilization: Information, Spectral Geometry, and Duration
Alexey Peregudin, Ngoc Tuan Dinh
On broad classes of linear systems, the shortest experiments are almost as good as the best possible ones. For states and inputs, the shortest input sequences that support…
Globally Certified Invariant-Ellipsoid Control from Data
Ngoc Tuan Dinh, Egor Dogadin, Alexey Peregudin
This letter develops a data-based method for designing state feedback for a discrete-time linear system under bounded disturbances. For each admissible feedback gain and scalar des…
Sharp Quadratic Majorants of Weighted Power Means of Quadratic Forms
Alexey Peregudin
We study when concave weighted power means of positive semidefinite quadratic forms admit sharp quadratic upper bounds. The starting point is the scalar fact that each such mean is…
Exact Noise Limits for Bounded Scalar Stabilization Experiments
Alexey Peregudin, Ngoc Tuan Dinh
How much unknown process noise can a bounded experiment tolerate while still establishing that the plant can be stabilized? We answer this question for scalar discrete-time systems…
Optimal Control for Discrete-Time Systems under Bounded Disturbances
Egor Dogadin, Alexey Peregudin, Dmitriy Shirokih
This paper introduces a novel approach to the optimal control of linear discrete-time systems subject to bounded disturbances. Our approach is based on the newly established dualit…
Lyapunov function search method for analysis of nonlinear systems stability using genetic algorithm
A. M. Zenkin, A. A. Peregudin, A. A. Bobtsov
This paper considers a wide class of smooth continuous dynamic nonlinear systems (control objects) with a measurable vector of state. The problem is to find a special function (Lya…
New Dualities in Linear Systems and Optimal Output Control under Bounded Disturbances
Alexey Peregudin, Igor Furtat
In this paper, we introduce novel equations that are dual to the ones of the well-known invariant ellipsoids method. These equations yield ellipsoids with newly established geometr…
Method of Attractive Cylinders. Solution for a General Linear Tracking Problem
Alexey Peregudin
The paper presents the method of attractive cylinders -- a generalization of the atrractive ellipsoid method to the cases of tracking and observation. Based on the developed method…