This article aims to study a class of discontinuous fuzzy inertial Cohen–Grossberg neural networks (DFICGNNs) with discrete and distributed time-delays. First all, in order deal the discontinuities by differential inclusion theory, based on generalized variable transformation including two tunable variables, mixed time-varying delayed DFICGNN is transformed into first-order system. Then, constr...

Hyperbolic systems in one dimensional space are frequently used modeling of many physical systems. In our recent works, we introduced time independent feedbacks leading to the finite stabilization for optimal homogeneous linear and quasilinear hyperbolic this work, present Lyapunov's functions these use estimates rediscover results.

Robust finite-time stability and stabilization problems for a class of linear uncertain time-delay systems are studied. The concept of finite-time stability is extended to linear uncertain time-delay systems. Based on the Lyapunov method and properties of matrix inequalities, a sufficient condition that ensures finite-time stability of linear uncertain time-delay systems is given. By virtue of ...

In the present article we study the stabilization of first-order linear integro-differential hyperbolic equations. For such equations we prove that the stabilization in finite time is equivalent to the exact controllability property. The proof relies on a Fredholm transformation that maps the original system into a finite-time stable target system. The controllability assumption is used to prov...

In this paper, we study the impulse controllability of a multi-dimensional heat equation with dynamic boundary conditions in bounded smooth domain. Using recent approach based on finite-time stabilization, show that system is null controllable at any positive time via controls supported nonempty open subset physical Furthermore, infer an explicit estimate for exponential decay solution. The pro...

The aim of this work is to design monotonicity-preserving stabilized finite element techniques for transport problems as a blend of linear and nonlinear (shock-capturing) stabilization. As linear stabilization, we consider and analyze a novel symmetric projection stabilization technique based on a local Scott-Zhang projector. Next, we design a weighting of the aforementioned linear stabilizatio...

In this article, the finite-time stabilization problem is solved for a linear time-varying system with unknown control direction by exploiting modified version of classical extremum-seeking algorithm. We propose to use suitable oscillatory input modify dynamics, at least in an average sense, so...