Global Stabilization of a Class of Stochastic Nonlinear Time-Delay Systems With SISS Inverse Dynamics

Stabilization of Two Electricity Generators

“…ere are several stabilization results such as the exponential stabilization [14,17,18,20], the asymptotic stabilization [5,6,16,22,23], the uniformly ultimately boundedness [9][10][11], the feedback stabilization [15,24], the stochastic stabilization [12,21], or the mean square stabilization [13].…”

“…ere are many kinds of nonlinearities which impede to reach the stabilization of electricity generators, and some examples of these nonlinearities are the arbitrary switching [9][10][11][12][13], the time-delays [14][15][16][17][18], the impulse perturbations [19,20], or the unknown nonlinearities [21][22][23][24]. e major issue is that in most of the cases, the mentioned nonlinearities are unknown.…”

On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay

“…Also, the time or delay recorded in many natural and physical phenomena, especially problems resulting from vibrations, is an important factor for stability in general. And it has been studied extensively by many authors, including [5][6][7][11][12][13][14][15][16][17][18][19][20][21]. Recently, in the presence of the varying delay, Mezouar and Boularrass studied system (1); for more information, see [22].…”

Adaptive Decentralized Control Scheme for a Stochastic Interconnected System

“…e aforementioned conclusions have been extended to output feedback cases in [22,23]. In [32], adaptive dynamics and higher and lower powers were introduced to construct the controller, and the state feedback stabilization was obtained by using the Lyapunov function and the backstepping method. Neural networks solved the unmeasured states, and decentralized controllers were discussed in [33,34].…”