Results 61 to 70 of about 3,016 (203)

Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr, Alessandro Pisano, Stefan Koch, Markus Reichhartinger   +3 more
wiley   +1 more source

Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang, Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +3 more
wiley   +1 more source

Robust Stochastic Stability Analysis for Uncertain Neutral-Type Delayed Neural Networks Driven by Wiener Process

Journal of Applied Mathematics, 2012
The robust stochastic stability for a class of uncertain neutral-type delayed neural networks driven by Wiener process is investigated. By utilizing the Lyapunov-Krasovskii functional and inequality technique, some sufficient criteria are presented in ...
Weiwei Zhang, Linshan Wang
doaj   +1 more source

On an inequality of Lyapunov for disfocality

Journal of Mathematical Analysis and Applications, 1990
Si y est une solution non-triviale de l'equation y″(t)+q(y)y(t)=0 sur un intervalle contenant a et b, telle que y(a)=y(h)=0, alors on a a ∫ h |q(t)|dt>4(b-a). Cette inegalite, dite de Lyapunov a ete generalisee par Kwong en introduisant la notion de disfocalite, basee sur une decomposition d'intervalle.
openaire   +1 more source

Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +2 more
wiley   +1 more source

Lyapunov-type inequalities for higher-order Caputo fractional differential equations with general two-point boundary conditions

Cubo
In this paper the authors present three different Lyapunov-type inequalities for a higher-order Caputo fractional differential equation with identical boundary conditions marking the inaugural instance of such an approach in the existing literature ...
Satyam Narayan Srivastava, Smita Pati, John R. Graef, Alexander Domoshnitsky, Seshadev Padhi   +4 more
doaj   +1 more source

String‐Stable Platooning Control of Connected Automated Vehicles Under Non‐Uniform Stochastic Communication Delays

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper is concerned with the platooning control problem of connected automated vehicles (CAVs) under non‐uniform stochastic vehicle‐to‐vehicle (V2V) communication delays. Most existing relevant studies assume uniform or deterministic or slowly varying delays, or design platoon controllers based on worst‐case delay bounds, resulting in ...
Dengfeng Pan, Xiaohua Ge, Derui Ding, Xian‐Ming Zhang   +3 more
wiley   +1 more source

Adaptive Sliding Mode Control Design for Interval Type‐2 T–S Fuzzy Systems With Time Delay: An Event‐Triggered Approach

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this work, a new event‐triggered adaptive first‐order sliding mode control method is proposed for nonlinear systems with constant time delays, modeled by interval type‐2 Takagi–Sugeno (T–S) fuzzy systems. To handle matched disturbances with unknown upper bounds, a non‐overestimating adaptation strategy for the control coefficient is ...
Rodrigo Possidonio Noronha, Ginalber L. O. Serra   +1 more
wiley   +1 more source

Lyapunov-type inequality and solution for a fractional differential equation

Journal of Inequalities and Applications, 2020
In this paper, we consider the linear fractional differential equation By obtaining the Green’s function we derive the Lyapunov-type inequality for such a boundary value problem.
Dexiang Ma, Zifa Yang
doaj   +1 more source

Sliding Mode Control in Aerospace Applications: A Survey

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
wiley   +1 more source