A. Yu. Aleksandrov
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View article: Algorithms of mobile agent deployment on a segment under communication delay and network topology switching
Algorithms of mobile agent deployment on a segment under communication delay and network topology switching Open
A group of mobile agents on a straight line is considered. First- and second-order integrators are used as agent models. Decentralized control protocols are proposed that provide both uniform and specified nonlinear uniform (uniform with r…
View article: On the asymptotic stability with respect to a part of variables for a class of nonlinear systems with distributed delay
On the asymptotic stability with respect to a part of variables for a class of nonlinear systems with distributed delay Open
This paper studies the stability problem for a class of nonlinear systems with distributed delay. Using special constructions of Lyapunov–Krasovskii functionals and the differential inequalities method, sufficient conditions are obtained e…
View article: Stability Analysis of a Class of Nonlinear Switched Systems with Distributed Delay
Stability Analysis of a Class of Nonlinear Switched Systems with Distributed Delay Open
One of the actual problems of modern control theory is the study of the stability of systems with switching modes of operation. Such systems are widely used for modeling technological processes, automatic control systems, mechatronic syste…
View article: Periodic Convergence for a Class of Nonlinear Time-Delay Systems
Periodic Convergence for a Class of Nonlinear Time-Delay Systems Open
International audience
View article: Monoaxial Electrodynamic Stabilization of a Spacecraft Using PID Controller
Monoaxial Electrodynamic Stabilization of a Spacecraft Using PID Controller Open
One of the actual problems of modern cosmic dynamics is the development of systems for controlling the angular orientation of spacecrafts with respect to their centers of mass. To solve this problem, magnetic control systems based on the i…
View article: Constructing Lyapunov–Krasovskii functionals for some classes of switched positive systems with infinite delay
Constructing Lyapunov–Krasovskii functionals for some classes of switched positive systems with infinite delay Open
The problem of absolute stability is investigated for a switched positive Persidskii system with infinite delay. With the aid of a special construction of Lyapunov–Krasovskii functional, sufficient conditions of absolute stability are deri…
View article: Triaxial electrodynamic stabilization of a satellite via PID controller
Triaxial electrodynamic stabilization of a satellite via PID controller Open
A satellite moving on a circular equatorial orbit is considered. The satellite is equipped with a controlled magnetic moment and a controlled electrostatic charge. The problem of triaxial stabilization in the orbital frame is studied. The …
View article: On Stability of Second-Order Nonlinear Time-Delay Systems Without Damping
On Stability of Second-Order Nonlinear Time-Delay Systems Without Damping Open
International audience
View article: Mice Lacking TAAR1 Show No Early Behavioral Response to Acute Restraint Stress
Mice Lacking TAAR1 Show No Early Behavioral Response to Acute Restraint Stress Open
The role of the TAAR1 receptor, one of the trace amine-associated receptors (TAARs) family, in the formation of the behavioral component of the stress response was studied. The behavior of female TAAR1 knockout mice and wild-type (WT) mice…
View article: Stability analysis of nonstationary mechanical systems with time delay via averaging method
Stability analysis of nonstationary mechanical systems with time delay via averaging method Open
A linear mechanical system with constant matrix of dissipative forces and continuous and bounded matrices of positional forces is studied. It is assumed that there are a large positive multiplier at the vector of dissipative forces and a c…
View article: Stability of homogeneous systems with distributed delay and time-varying perturbations
Stability of homogeneous systems with distributed delay and time-varying perturbations Open
View article: Nonlinear Algorithms for Controlling a Group of Mobile Agents on a Segment
Nonlinear Algorithms for Controlling a Group of Mobile Agents on a Segment Open
A group of mobile agents on a straight line is considered. Agents are understood as numbered points that can change their position. It is assumed that the dynamics of agents is modeled by second-order integrators, with each agent receiving…
View article: Asymptotic Stability Investigation of the Zero Solution for a Class of Nonlinear Nonstationary Systems by the Averaging Method
Asymptotic Stability Investigation of the Zero Solution for a Class of Nonlinear Nonstationary Systems by the Averaging Method Open
A system of nonlinear differential equations is considered that describes the interaction of two coupled subsystems, one of these subsystems is linear, and the other is nonlinear and homogeneous with an order of homogeneity greater than on…
View article: Application of the implicit Euler method for the discretization of some classes of nonlinear systems
Application of the implicit Euler method for the discretization of some classes of nonlinear systems Open
The problem of stability preservation under discretization of some classes of nonlinear differential equations systems is studied. Persidskii systems, Lurie systems of indirect control, and systems whose right-hand sides have a canonical s…
View article: Analysis of homogeneous systems with distributed delay using averaging approach
Analysis of homogeneous systems with distributed delay using averaging approach Open
The conditions for stability of the zero solution are formulated for homogeneous dynamical systems of non-zero degree with distributed delays. It is assumed that if the disturbances are absent and the non-delayed state substitutes the dela…
View article: Stability Analysis of Gyroscopic Systems with Delay under Synchronous and Asynchronous Switching
Stability Analysis of Gyroscopic Systems with Delay under Synchronous and Asynchronous Switching Open
With the aid of the decomposition method and the Lyapunov direct method, stability of linear gyroscopic systems with switching and a constant delay in positional forces is investigated. The cases of synchronous and asynchronous switching a…
View article: Sensory Gating in TAAR1 Knockout Mice
Sensory Gating in TAAR1 Knockout Mice Open
Trace amines (TA) are a family of endogenous compounds structurally similar to classical biogenic amines that may be involved in the pathogenesis of a number of neuropsychiatric disorders. One of the most studied and perspective member of …
View article: On stability of mechanical systems with homogeneous and delayed forces
On stability of mechanical systems with homogeneous and delayed forces Open
The problem of delay-independent stability is studied for a class of mechanical systems under dissipative, non-conservative and potential forces, which are described by homogeneous terms. The obtained conditions are extended to the case of…
View article: Convergence conditions for continuous and discrete models of population dynamics
Convergence conditions for continuous and discrete models of population dynamics Open
Some classes of continuous and discrete generalized Volterra models of population dynamics are considered. It is supposed that there are relationships of the type "symbiosis", "compensationism" or "neutralism" between any two species in a …
View article: On ISS-Lyapunov Functions for Mechanical Systems
On ISS-Lyapunov Functions for Mechanical Systems Open
International audience
View article: A problem of the equidistant deployment for discrete-time multiagent systems
A problem of the equidistant deployment for discrete-time multiagent systems Open
This article explores a discrete-time multiagent system on a line. This requires the design of a control protocol providing equidistant agent deployment on a given segment of the line under the constraint that each agent receives informati…
View article: Stability analysis of switched homogeneous time-delay systems under synchronous and asynchronous commutation
Stability analysis of switched homogeneous time-delay systems under synchronous and asynchronous commutation Open
View article: Convergence conditions for Persidskii systems
Convergence conditions for Persidskii systems Open
A class of generalized Persidskii systems is considered in this work. The conditions of convergence for Persidskii systems are introduced, which can be checked through linear matrix inequalities. Also, the case of almost periodic convergen…
View article: Nonlinear Control for Attitude Stabilization of a Rigid Body Forced by Nonstationary Disturbances with Zero Mean Values
Nonlinear Control for Attitude Stabilization of a Rigid Body Forced by Nonstationary Disturbances with Zero Mean Values Open
A rigid body forced by a nonstationary perturbing torque with zero mean value is under consideration. The control strategy for attitude stabilization of the rigid body is based on the usage of dissipative and restoring torques. It is assum…
View article: Conditions of Self-Oscillations in Generalized Persidskii Systems
Conditions of Self-Oscillations in Generalized Persidskii Systems Open
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View article: Lyapunov--Krasovskii Functional for Discretized Homogeneous Systems
Lyapunov--Krasovskii Functional for Discretized Homogeneous Systems Open
International audience
View article: Monoaxial Electrodynamic Stabilization of an Artificial Earth Satellite in the Orbital Coordinate System via Control With Distributed Delay
Monoaxial Electrodynamic Stabilization of an Artificial Earth Satellite in the Orbital Coordinate System via Control With Distributed Delay Open
An artificial Earth satellite (AES) with three different principal central moments of inertia is under consideration. The AES moves along a Keplerian circular equatorial near-Earth orbit. The AES is equipped with electrodynamic attitude co…
View article: Stability analysis of mechanical systems with distributed delay via decomposition
Stability analysis of mechanical systems with distributed delay via decomposition Open
The article analyzes a linear mechanical system with a large parameter at the vector of velocity forces and a distributed delay in positional forces. With the aid of the decomposition method, conditions are obtained under which the problem…
View article: On analysis of Persidskii systems and their implementations using LMIs
On analysis of Persidskii systems and their implementations using LMIs Open
View article: Analysis of robustness of homogeneous systems with time delays using Lyapunov‐Krasovskii functionals
Analysis of robustness of homogeneous systems with time delays using Lyapunov‐Krasovskii functionals Open
Summary This article is devoted to stability analysis of homogeneous time‐delay systems applying the Lyapunov‐Krasovskii theory, and a generic structure of the functional is given that suits for any homogeneous system of nonzero degree (an…