Feedback sensitivity functions analysis of finite-time stabilizing control system

Decentralized Finite-Time Stabilizing Feedback Network Control

This work explores the stability properties of a class of nonlinear system, which is obtained by applying a special transformation to the vector field of a linear system. It is proved that such a nonlinear system preserves the stability of the original linear system. This property can be used for checking the stability of certain nonlinear systems, and designing novel network control protocols ...

Finite-Time Stabilization of Dynamical System with Adaptive Feedback Control

In this paper, an adaptive feedback controller is proposed to achieve the finite-time stability of dynamical system. In the proposed scheme, the feedback gain of the adaptive feedback controller is automatically tuned according to the adaptation law in order to stabilize unstable fixed points of the system. Based on the Lyapunov function method and the finite-time stability theory, we get a suf...

Stabilizing a linear system with finite-state hybrid output feedback

Remarks on Control Lyapunov Functions for Discontinuous Stabilizing Feedback

We present a formula for a stabilizing feedback law under the assumption that a piecewise smooth controlLyapunov function exists. The resulting feedback is continuous at the origin and smooth everywhere except on a hypersurface of codimension 1. We provide an explicit and “universal” formula. Finally, we mention a general result connecting asymptotic controllability and the existence of control...

Optimal Finite-time Control of Positive Linear Discrete-time Systems

This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...