1 citations · 1 across the 6 of their papers we have counts for
6 papers
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…
Generalized Homogeneous Rigid-BodyAttitude Control
Yu Zhou, Andrey Polyakov, Gang Zheng
The attitude tracking problem for a full-actuated rigid body in 3D is studied using a impulsive system model based on Lie algebra so(3). A nonlinear homogeneous controller is desig…
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…
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…
Finite- and Fixed-Time Nonovershooting Stabilizers and Safety Filters by Homogeneous Feedback
Andrey Polyakov, Miroslav Krstic
Non-overshooting stabilization is a form of safe control where the setpoint chosen by the user is at the boundary of the safe set. Exponential non-overshooting stabilization, inclu…
Adaptive Finite-time and Fixed-time Control Design using Output Stability Conditions
Konstantin Zimenko, Denis Efimov, Andrey Polyakov
The present paper provides a sufficient condition to ensure output finite-time and fixed-time stability. Comparing with analogous researches the proposed result is less restrictive…