A course of H∞0Econtrol theory
A course of H∞0Econtrol theory
Stability radius for structured perturbations and the algebraic Riccati equation
Systems & Control Letters
A stabilization algorithm for a class of uncertain linear systems
Systems & Control Letters
Structured singular values and stability analysis of uncertain polynomials, part 2: a missing link
Systems & Control Letters
A formula for computation of the real stability radius
Automatica (Journal of IFAC)
Robust and optimal control
Lectures on modern convex optimization: analysis, algorithms, and engineering applications
Lectures on modern convex optimization: analysis, algorithms, and engineering applications
Robust Control: The Parametric Approach
Robust Control: The Parametric Approach
On Tractable Approximations of Uncertain Linear Matrix Inequalities Affected by Interval Uncertainty
SIAM Journal on Optimization
Automation and Remote Control
The Set of Stable Polynomials of Linear Discrete Systems: Its Geometry
Automation and Remote Control
SIAM Journal on Computing
The D-decomposition technique for linear matrix inequalities
Automation and Remote Control
Robust D-decomposition under lp-bounded parametric uncertainties
Automation and Remote Control
Design of the low-order controllers by the H∞ criterion: A parametric approach
Automation and Remote Control
Petersen's lemma on matrix uncertainty and its generalizations
Automation and Remote Control
Brief Fast calculation of stabilizing PID controllers
Automatica (Journal of IFAC)
Stable polyhedra in parameter space
Automatica (Journal of IFAC)
Brief Synthesis of H∞ PID controllers: A parametric approach
Automatica (Journal of IFAC)
Stability regions in the parameter space: D-decomposition revisited
Automatica (Journal of IFAC)
Fixed order controller design subject to engineering specifications
Automation and Remote Control
Journal of Computer and Systems Sciences International
On stability of controllable systems with descriptions containing only even derivatives
Automation and Remote Control
Study of D-decompositions by the methods of computational real-valued algebraic geometry
Automation and Remote Control
| Hi-index | 0.00 |
It is a survey of recent extensions and new applications for the classical D-decomposition technique. We investigate the structure of the parameter space decomposition into root invariant regions for single-input single-output systems linear depending on the parameters. The D-decomposition for uncertain polynomials is considered as well as the problem of describing all stabilizing controllers of the certain structure (for instance, PID-controllers) that satisfy given H 驴-criterion. It is shown that the D-decomposition technique can be naturally linked with M-Δ framework (a general scheme for analysis of uncertain systems) and it is applicable for describing feasible sets for linear matrix inequalities. The problem of robust synthesis for linear systems can be also treated via D-decomposition technique.