For a nonlinear control system, by considering appropriate feedback laws, we prove results on null controllability and regularity of the minimum time function.
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...
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.
The solution of the problem of simulation modeling of an adaptive repetitive control system for a class of nonlinear a priori uncertain plants characterized by time delays in the state variables, including a delay in the highest-order derivative has been presented. By means of the constructed simulation moel, a study i...
In this paper, we consider linear stochastic systems with control-linear noise and periodically sampled measurements. We address the problem of feedback stabilization in the mean-square sense. The main contribution of the paper is to provide a necessary and sufficient condition for feedback stabilization. In particular...
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...
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