Theory of optimal control in the works of V.A. Yakubovich

DOI10.1134/S0005117906100055zbMath1195.49004WikidataQ58883757 ScholiaQ58883757MaRDI QIDQ885763

Publication date: 14 June 2007

Published in: Automation and Remote Control (Search for Journal in Brave)

Biographies, obituaries, personalia, bibliographies (01A70) History of calculus of variations and optimal control (49-03) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02)

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Cites Work

A course in $H_{\infty}$ control theory
Robust stability analysis of time-varying systems using time-varying quadratic forms
Nonconvex problems of global optimization: Linear-quadratic control problems with quadratic constraints
A frequency theorem in control theory
Properties of the control system providing the smallness of stationary output
The problem of the invariance of a control system with respect to some of the output variables
Universal regulators for optimal tracking of polyharmonic signals in systems with delays
System structure and singular control
Singular problem in optimal control of linear stationary system with quadratic functional
An algebraic Riccati equation approach to $H^{\infty}$ optimization
Abstract theory of the optimal control of distributed parameter systems
Extensions of linear-quadratic control theory
Nonconvex optimization problem: The infinite-horizon linear-quadratic control problem with quadratic constraints
A simple proof of the convexity of the field of values defined by two Hermitian forms
Infinite dimensional linear systems theory
A recurring theorem about pairs of quadratic forms and extensions: A survey
A contribution to the abstract theory of optimal control. II
Optimal control of nonstationary linear systems on an infinite time interval
Optimum stabilization of control systems under constraints on the output variable
Universal regulators in invariance and tracking problems
Canonical matrix factorisation and polynomial Riccati equations
$S$-procedure and duality for nonlinear stochastic problems
Nonconvex global optimization problems in control theory
Universal controllers for the optimal tracking of signals in linear discrete systems
Universal controllers for optimal damping of forced oscillations in linear discrete systems
Optimal tracing of harmonic signals in linear systems with noise in measurements
Construction of regulators providing an almost invariant control system
A stochastic linear-quadratic optimal control problem for stationary systems with quadratic constraints
Convexity of quadratic transformations and its use in control and optimization
Abnormal sub-Riemannian geodesics: Morse index and rigidity
On duality without convexity
Duality theorems for certain nonconvex extremal problems
Synthesis of optimal controls for amplitude-impulse systems in the problem of minimizing the mean value of a functional of quadratic type
The Standard $H_\infty $ Problem and the Maximum Principle: The General Linear Case
Necessary and sufficient conditions of stability: a multiloop generalization of the circle criterion
Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics
On the Field of Values of a Matrix
State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
Singular Optimal Control: A Geometric Approach
Families of linear-quadratic problems: Continuity properties
Optimal H_∞robustness and the relationship to LQG design problems
LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL
A Schur method for solving algebraic Riccati equations
FREQUENCY THEOREMS AND A STABILIZATION THEOREM FOR UNBOUNDED OPERATORS
$H^\infty $ Control of Linear Time-Varying Systems: A State-Space Approach
The Kalman-Yakubovich Lemma for non-stationary systems and its applications
The Linear Multivariable Regulator Problem
On the eigenvalue-eigenvector method for solution of the stationary discrete matrix Riccati equation
Matrical extensions of the numerical range: a brief survey
Linear Matrix Inequalities in System and Control Theory
Spectral Approach to Duality in Nonconvex Global Optimization
Nonconvex Global Optimization Problems: Constrained Infinite-Horizon Linear-Quadratic Control Problems for Discrete Systems
Universal regulators for optimal tracking in discrete-time systems affected by harmonic disturbances
Nonlinear versus linear control in the absolute stabilizability of uncertain systems with structured uncertainty
Minimax optimal control of uncertain systems with structured uncertainty
Robust control with rejection of harmonic disturbances
Pseudo-Convex Functions
ON THE ABSOLUTE STABILITY OF SAMPLED-DATA CONTROL SYSTEMS
Optimal tracking of stochastic signals with unknown spectral density in discrete-time control systems
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