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Singular perturbations in control problems (Q2457487)

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Language	Label	Description	Also known as
English	Singular perturbations in control problems	scientific article

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scholarly article

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Singular perturbations in control problems (English)

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zbMATH Open document ID

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10.1134/S0005117906010012

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Automation and Remote Control

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publication date

23 October 2007

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mikhail Dmitriev

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Galina A. Kurina

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MaRDI profile type

MaRDI publication profile

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An indefinite approach to the reduction of a nonnegative Hamiltonian operator function to a block diagonal form

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Solving classical problems of optimal control with a boundary layer

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Output feedback control for a class of singularly perturbed uncertain nonlinear systems

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Passage to the limit in singularly perturbed integral systems and optimal control problems.

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On controllability of a linear discrete nonstationary system with a small step

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The use of a direct scheme for the solution of a linear-quadratic problem of optimal control with singular perturbation

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Optimal periodic systems of control with singular perturbations

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Controllability of hyperbolic systems under singular perturbations

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Conditions and estimates for the convergence of solutions of control problems for singularly perturbed hyperbolic systems

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An algorithm for the asymptotic solution of the problem of the terminal control of a nonlinear singularly perturbed system

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State space method in the identifiability problem of linear nonstationary singularly perturbed systems

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Information sets for singularly perturbed systems: Construction of their asymptotic approximation

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Asymptotics of information sets in singularly perturbed problems of optimal control

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Asymptotic expansion of the solution of a singularly perturbed matrix Riccati equation with an infinitely large initial condition

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Splitting of a two-point boundary-value problem that arises in the theory of optimal control

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On the reducibility of a nonnegatively Hamiltonian real periodic matrix to a block-diagonal form

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Reducibility of a class of operator functions to block-diagonal form

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Asymptotic analysis of matrix-singularly perturbed linear-quadratic problems of optimal control

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Asymptotic properties of minimax solutions of Isaacs-Bellman equations in differential games with fast and slow motions.

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Controllability of linear algebraic differential systems

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Stabilization of a class of singularly perturbed bilinear systems

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Direct scheme in optimal control problems with fast and slow motions

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Constrained output feedbacks for singularly perturbed imperfectly known nonlinear systems

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An Asymptotic Expansion for an Optimal Relaxation Oscillator

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Singular Perturbation in Mayer’s Problem for Linear Systems

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High-gain feedback stabilization of linear systems

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Exact slow-fast decomposition of the nonlinear singularly perturbed optimal control problem

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State-feedbackH? control of nonlinear singularly perturbed systems

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A descriptor system approach to nonlinear singularly perturbed optimal control problem.

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Robust \(H_{\infty}\) minimum entropy static output-feedback control of singularly perturbed systems

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Suboptimization of Singularly Perturbed Control Systems

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Limit Hamilton-Jacobi-Isaacs equations for singularly perturbed zero-sum differential games

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Limit occupational measures set for a control system and averaging of singularity perturbed control systems

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Averaging of three time scale singularly perturbed control systems

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The recursive algorithm for the optimal static output feedback control problem of linear singularity perturbed systems

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Singularly perturbed and weakly coupled linear control systems. A recursive approach

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Asymptotic solution of the singularly perturbed infinite dimensional Riccati equation

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Asymptotic solution of a singularly perturbed set of functional-differential equations of Riccati type encountered in optimal control theory

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Stabilizability and detectability of singularly perturbed linear time-invariant systems with delays in state and control

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Asymptotic solution of zero-sum linear-quadratic differential game with cheap control for minimizer

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Euclidean space controllability of singularly perturbed linear systems with state delay

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Observability of singularly perturbed linear time-dependent differential systems with small delay

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\(H_\infty\) control of linear singularly perturbed systems with small state delay

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Adaptive systems with reduced models

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Asymptotic solution of the minimum force problem for linear singularly perturbed systems

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Sliding mode control of uncertain systems: a singular perturbation approach

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\({\mathcal H}_{\infty{}}\) control of two-time-scale systems

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On the matrix Riccati equation for a singularly perturbed linear discrete control system

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Applications of Singular Perturbation Techniques to Control Problems

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Singular perturbations and order reduction in control theory - an overview

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Linear-quadratic discrete optimal control problems for descriptor systems in Hilbert space

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On Linear-Quadratic Optimal Control Problems for Time-Varying Descriptor Systems

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A quadratic regulator with cheap control for a class of nonlinear systems

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A survey of linear singular systems

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Infinite-time regulators for singularly perturbed difference equations†

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Stabilization of discrete systems with multiple-time scales

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Non-standard singularly perturbed control systems and differential-algebraic equations

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The autonomous linear quadratic control problem. Theory and numerical solution

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Asymptotic methods in the theory of optimal control

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Singular perturbation analysis of discrete control systems

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\(H^ \infty\)-optimal control for singularly perturbed systems. I: Perfect state measurements

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H/sup ∞/-optimal control for singularly perturbed systems. II. Imperfect state measurements

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Model Simplification and Optimal Control of Stochastic Singularly Perturbed Systems under Exponentiated Quadratic Cost

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Stabilization and regulation of nonlinear singularly perturbed systems--Composite control

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Cheap and singular controls for linear quadratic regulators

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Robust Nash strategies for a class of non-linear singularly perturbed problems†

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Singular perturbations and time-scale methods in control theory: Survey 1976-1983

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Direct singular perturbation analysis of high-gain and cheap control problems

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Multiple time-scale decomposition in cheap control problems--Singular control

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Integral manifolds and decomposition of singularly perturbed systems

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The exact slow-fast decomposition of the algebraic Ricatti equation of singularly perturbed systems

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Singular perturbation modelling and design techniques applied to jet engine control

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\(H_\infty\) control for singularly perturbed systems

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Nash strategies for discrete-time systems with slow and fast modes

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On linear robust \({\mathcal H}_\infty\) controllers for a class of nonlinear singular perturbed systems

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Singularly perturbed systems of diffusion type and feedback control

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<i>H</i>∞ control for a singularly perturbed aircraft model

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full work available at URL

https://doi.org/10.1134/s0005117906010012

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Mathematics(1 entry)

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