FEEDBACK NULL CONTROLLABILITY IN MINIMUM TIME FOR NONLINEAR SYSTEMS

DEVELOPMENT OF OUTPUT-FEEDBACK CONTROL FOR GLOBAL FINITE-TIME STABILIZATION OF HIGH-ORDER SWITCHED NONLINEAR TIME-DELAY SYSTEMS WITH DIFFERENT POWERS

An Optimal Control Approach to Finite-Time Stabilization of Linear Systems

This paper presents a finite-time stabilization method for the integrator chain via optimal control techniques by introducing a tailored cost function. We analyze key properties of the resulting value function to derive the corresponding Hamilton-Jacobi-Bellman equation. Numerical simulations illustrate the effectivene...

Stability and Boundedness of Solutions for a Certain Fourth-Order Delay Differential Equation

In this paper, with the help of Lyapunov functional approach, sufficient conditions for the asymptotic stability of zero solution for a certain fourth-order non-linear delay differential equation are given.

Approximate Stabilization of Switched Nonlinear Systems

It is shown that there exists a piecewise constant feedback controller such that the system can achieve the approximate stabilization property under arbitrary switching signal.

Controllability of time-varying lumped semilinear systems

In this work we are concerned with the controllability of time-varying lumped control systems governed by a semilinear differential equation. We consider the semilinear system as a perturbation of a linear system. Assuming the underlying linear system is controllable, and the nonlinear forcing function satisfies a boun...

Robust Accelerated Iterative Learning Control Design for Discrete-Time Systems with Input Saturation

This paper considers the iterative learning control design problem for discrete-time systems with uncertain parameters and input saturation. To accelerate convergence of the learning process, a combination of heavy-ball methods from optimization theory and the Lyapunov vector function method for repetitive processes is...