Publications (22)
Adaptive Finite-time and Fixed-time Control Design using Output Stability Conditions
Konstantin Zimenko, Denis Efimov, Andrey Polyakov
The present paper provides a sufficient condition to ensure output finite-time and fixed-time stability. Comparing with analogous researches the proposed result is less restrictive…
Fixed-time Stabilization with a Prescribed Constant Settling Time by Static Feedback for Delay-Free and Input Delay Systems
Andrey Polyakov, Miroslav Krstic
A static non-linear homogeneous feedback for a fixed-time stabilization of a linear time-invariant (LTI) system is designed in such a way that the settling time is assigned exactly…
Discrete Homogeneity and Quantizer Design for Nonlinear Homogeneous Control Systems
Yu Zhou, Andrey Polyakov, Gang Zheng +1
This paper proposes a framework for analysis of generalized homogeneous control systems under state quantization. In particular, it addresses the challenge of maintaining finite/fi…
Filtering Homogeneous Observer for MIMO System
Xubin Ping, Konstantin Zimenko, Andrey Polyakov +1
Homogeneous observer for linear multi-input multi-output (MIMO) system is designed. A prefilter of the output is utilized in order to improve robustness of the observer with respec…
Finite/fixed-time Stabilization of Linear Systems with States Quantization
Yu Zhou, Andrey Polyakov, Gang Zheng
This paper develops a homogeneity-based approach to finite/fixed-time stabilization of linear time-invariant (LTI) system with quantized measurements. A sufficient condition for fi…
Stability analysis and stabilization of systems with hyperexponential rates
Konstantin Zimenko, Denis Efimov, Andrey Polyakov
Hyperexponential stability is investigated for dynamical systems with the use of both, explicit and implicit, Lyapunov function methods. A nonlinear hyperexponential control is des…
Homogeneous Proportional-Integral-Derivative Controller in Mobile Robotic Manipulators
Luis Luna, Isaac Chairez, Andrey Polyakov
Mobile robotic manipulators (MRMs), which integrate mobility and manipulation capabilities, present significant control challenges due to their nonlinear dynamics, underactuation,…
Generalized Homogeneous Rigid-BodyAttitude Control
Yu Zhou, Andrey Polyakov, Gang Zheng
The attitude tracking problem for a full-actuated rigid body in 3D is studied using a impulsive system model based on Lie algebra so(3). A nonlinear homogeneous controller is desig…
Robust Finite-time Stabilization of Linear Systems with Limited State Quantization
Yu Zhou, Andrey Polyakov, Gang Zheng
This paper investigates the robust asymptotic stabilization of a linear time-invariant (LTI) system by a static feedback with a static state quantization. It is shown that the cont…
Accelerated Stabilization of Switched Linear MIMO Systems using Generalized Homogeneity
Moussa Labbadi, Andrey Polyakov, Denis Efimov
This paper addresses the problem of exponential and accelerated finite-time, as well as nearly fixed-time, stabilization of switched linear MIMO systems. The proposed approach reli…
Homogeneous control design using invariant ellipsoid method
Siyuan Wang, Andrey Polyakov, Gang Zheng +2
The invariant ellipsoid method is aimed at minimization of the smallest invariant and attractive set of a linear control system operating under bounded external disturbances. This…
Consistent discretization of finite/fixed-time controllers
Andrey Polyakov, Denis Efimov, Xubin Ping
The paper proposes an algorithm for a discretization (sampled-time implementation) of a homogeneous control preserving the finite-time and nearly fixed-time stability property of t…
Fermi surface chirality induced in a TaSe monosheet formed by a Ta/ BiSe interface reaction
Andrey Polyakov, Katayoon Mohseni, Roberto Felici +9
Spin-momentum locking in topological insulators and materials with Rashba-type interactions is an extremely attractive feature for novel spintronic devices and is therefore under i…
Homogeneous Distributed Observers for Quasilinear Systems
Min Li, Andrey Polyakov, Siyuan Wang +1
The problem of finite/fixed-time cooperative state estimation is considered for a class of quasilinear systems with nonlinearities satisfying a Hölder condition. A strongly connec…
Kinetic whistler instability in a mirror-confined plasma of a continuous ECR ion source
Mikhail Viktorov, Ivan Izotov, Elena Kiseleva +3
Kinetic instabilities in a dense plasma of a continuous ECR discharge in a mirror magnetic trap at the GISMO setup are studied. We experimentally define unstable regimes and corres…
Parallel Algorithm for Time Series Discords Discovery on the Intel Xeon Phi Knights Landing Many-core Processor
Andrey Polyakov, Mikhail Zymbler
Discord is a refinement of the concept of anomalous subsequence of a time series. The task of discords discovery is applied in a wide range of subject domains related to time serie…
Homogeneous Control Systems on Cones and Nonovershooting Finite-time Stabilizers
Andrey Polyakov, Miroslav Krstic
A nonovershooting finite-time control design for linear multi-input system is proposed by upgrading a linear (asymptotic) nonovershooting stabilizer to a homogeneous one. Robustnes…
Optimal Rejection of Bounded Perturbations in Linear Leader-Following Consensus Protocol: Method Invariant Ellipsoid
Siyuan Wang, Andrey Polyakov, Min Li +2
The objective of the invariant ellipsoid method is to minimize the smallest invariant and attractive set of a linear control system operating under the influence of bounded externa…
Finite- and Fixed-Time Nonovershooting Stabilizers and Safety Filters by Homogeneous Feedback
Andrey Polyakov, Miroslav Krstic
Non-overshooting stabilization is a form of safe control where the setpoint chosen by the user is at the boundary of the safe set. Exponential non-overshooting stabilization, inclu…
Discontinuous integro-differential equations and sliding mode control
Andrey Polyakov
The paper deals with analysis and design of sliding mode control systems modeled by finite-dimensional integro-differential equations. Filippov method and equivalent control approa…
Homogeneous Artificial Neural Network
Andrey Polyakov
The paper proposes an artificial neural network (ANN) being a global approximator for a special class of functions, which are known as generalized homogeneous. The homogeneity mean…
Finite-time Non-overshooting Leader-following Consensus Control for Multi-Agent Systems
Min Li, Andrey Polyakov, Siyuan Wang +1
This paper addresses the finite-time non-overshooting leader-following consensus problem for multi-agent systems, whose agents are modeled by a dynamical system topologically equiv…