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 boundedness condition which is adapted to the underlying linear system, we show that the semilinear system is also approximately controllable
This paper investigates the approximate controllability of a class of heterogeneous nonlinear networked systems, where each node may be affected by nonlinear perturbations of the Hölder type. We relax the exact controllability requirements and focus on establishing sufficient conditions under which approximate controll...
Anil Singh Rathore, O. Singh, Arun Kumar Singh· Journal of Applied Nonlinear...· 0 citations
This paper studies the relationship between the controllability of a quasi-linear parabolic equation and that of its linear counterpart. Under suitable assumptions, we prove that for sufficiently small initial data both systems are null controllable, and that the differences between their corresponding controls and sta...
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.
Zhi-E. Lou, Yan Gao· Journal of Information and C...· 0 citations
We study controllability of semilinear evolution systems with infinite memory governed by a generalized conformable derivative of variable order. Since the time-change reduction to semigroups fails, we construct a two-parameter evolution family and the corresponding integral representation in a Banach space. Under Lips...
Rachid Bahloul, Houssame Rachad· Annals of Mathematics and Co...· 0 citations
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 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...
W. Weng, Y. Chitour, P. Mason· 0 citations
We use cookies to run the site and, with your consent, for analytics and to show ads.
See our Cookie Policy.
