3 papers
math.OC2023
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…
eess.SY2022
Stability analysis and stabilization of systems with hyperexponential rates
Konstantin Zimenko, Denis Efimov, Andrey Polyakov
Hyperexponential stability is investigated for dynamical systems with the use of both, explicit and implicit, Lyapunov function methods. A nonlinear hyperexponential control is des…
eess.SY2022
Consistent discretization of finite/fixed-time controllers
Andrey Polyakov, Denis Efimov, Xubin Ping
The paper proposes an algorithm for a discretization (sampled-time implementation) of a homogeneous control preserving the finite-time and nearly fixed-time stability property of t…