5 papers · 1 filter
Robust Finite-time Stabilization of Linear Systems with Limited State Quantization
Yu Zhou, Andrey Polyakov, Gang Zheng
This paper investigates the robust asymptotic stabilization of a linear time-invariant (LTI) system by a static feedback with a static state quantization. It is shown that the cont…
Optimal Rejection of Bounded Perturbations in Linear Leader-Following Consensus Protocol: Method Invariant Ellipsoid
Siyuan Wang, Andrey Polyakov, Min Li +2
The objective of the invariant ellipsoid method is to minimize the smallest invariant and attractive set of a linear control system operating under the influence of bounded externa…
Homogeneous control design using invariant ellipsoid method
Siyuan Wang, Andrey Polyakov, Gang Zheng +2
The invariant ellipsoid method is aimed at minimization of the smallest invariant and attractive set of a linear control system operating under bounded external disturbances. This…
Finite/fixed-time Stabilization of Linear Systems with States Quantization
Yu Zhou, Andrey Polyakov, Gang Zheng
This paper develops a homogeneity-based approach to finite/fixed-time stabilization of linear time-invariant (LTI) system with quantized measurements. A sufficient condition for fi…
Homogeneous Control Systems on Cones and Nonovershooting Finite-time Stabilizers
Andrey Polyakov, Miroslav Krstic
A nonovershooting finite-time control design for linear multi-input system is proposed by upgrading a linear (asymptotic) nonovershooting stabilizer to a homogeneous one. Robustnes…