3 citations · 6 across the 13 of their papers we have counts for
15 papers
Convex Density Design for Regional Phase-Volume Contraction of Nonlinear Systems
Igor B. Furtat
Regional weighted phase-volume contraction for nonlinear systems is studied using positive densities selected from a finite-dimensional log-affine family. The affine dependence of…
Weighted phase volume stability: dissipativity and geometric interpretation
Igor Furtat
The evolution of weighted phase volume under a fixed dynamical system is investigated using a positive weight raised to an arbitrary real exponent. Sufficient conditions for unifor…
Weighted Phase Volume Method in Stability Analysis: Integral Criteria and Ellipsoidal Reachable Sets
Igor B. Furtat
A method for analysing the stability of dynamical systems is proposed, based on the introduction of a weighted phase volume and time rescaling by a positive function. The advantage…
Stability/instability study of density systems and control law design
Igor Furtat
The paper considers some class of dynamical systems that called density systems. For such systems the derivative of quadratic function depends on so-called density function. The de…
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…
Nonlinear control laws based on linear ones using odd functions
Igor Furtat
The paper investigates nonlinear control laws obtained from linear one by two types of substitutions using odd functions. The first substitution consists in passing each component…
Control of dynamic systems with restrictions on input and output signals
Igor Furtat, Pavel Gushchin, Nguyen Ba Huy
The paper considers the generalization of the method proposed by I.B. Furtat, P.A. Gushchin in "Automation and Remote Control", 2021, No. 4 for systems with an arbitrary ratio of t…
Sampled-data in Space Control of Scalar Semilinear Parabolic and Hyperbolic Systems
Igor Furtat, Pavel Gushchin
The paper describes a novel method of sampled-data in space (spatial variable) control of scalar semilinear systems of parabolic and hyperbolic type with unknown parameters and dis…
Adaptive Identification of Nonlinear Time-delay Systems Using Output Measurements
Igor Furtat, Yury Orlov
A novel adaptive identifier is developed for nonlinear time-delay systems composed of linear, Lipschitz and non-Lipschitz components. To begin with, an identifier is designed for u…
Stability and Instability Divergence Conditions for Dynamical Systems
Igor Furtat
A novel method for stability and instability study of autonomous dynamical systems using the flow and divergence of the vector field is proposed. A relation between the method of L…
Divergence Conditions for Investigation and Control of Nonautonomous Dynamical Systems
Igor Furtat
The paper describes a novel method for studying the stability of nonautonomous dynamical systems. This method based on the flow and divergence of the vector field with coupling to…
Feedback Control of Dynamical Systems with Given Restrictions on Output Signal
Igor Furtat
A novel method for control of dynamical systems, proposed in the paper, ensures an output signal belonging to the given set at any time. The method is based on a special change of…
General divergent stability conditions of dynamic systems
Igor Furtat
New necessary and sufficient conditions are proposed for the stability investigation of dynamical systems using the flow and the divergence of the phase vector velocity. The obtain…
Robust Stabilization of Linear Plants Under Uncertainties and High-Frequency Measurement Noises
I. B. Furtat, A. N. Nekhoroshikh
The paper describes the robust algorithm for linear time-invariant plants under parametric uncertainties, external disturbances and high-frequency noises in measurements. The propo…
Noise and Disturbance Compensation Approach for Linear Time-Invariant Plants
Igor B. Furtat
The algorithm with compensation of parametric uncertainties, external disturbances and measurement noises for linear time-invariant plants is designed. It is assumed, that the dime…