Results 61 to 70 of about 25,247 (223)

Lyapunov’s type inequalities for hybrid fractional differential equations [PDF]

Journal of Inequalities and Applications, 2016
نقوم بالتحقيق في النتائج الجديدة حول المتباينات من نوع Lyapunov من خلال النظر في مشاكل قيمة الحدود الكسرية الهجينة. نحن نوفر الشروط اللازمة لوجود حلول غير بديهية لفئة من مشكلات القيمة الحدية الهجينة التي تنطوي على مشتق كسور ريمان- ليوفيل من الترتيب ...
Surang Sitho, Sotiris K. Ntouyas, Weera Yukunthorn, Jessada Tariboon   +3 more
openaire   +3 more sources

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 inequalities and their applications for quasilinear impulsive systems

Journal of Taibah University for Science, 2019
A novel Lyapunov-type inequality for Dirichlet problem associated with the quasilinear impulsive system involving the $(p_j, q_j) $-Laplacian operator for j=1,2 is obtained.
Zeynep Kayar
doaj   +1 more source

The existence of solutions for nonlinear fractional boundary value problem and its Lyapunov-type inequality involving conformable variable-order derivative

Journal of Inequalities and Applications, 2020
We consider a nonlinear fractional boundary value problem involving conformable variable-order derivative with Dirichlet conditions. We prove the existence of solutions to the considered problem by using the upper and lower solutions’ method with ...
Jie Wang, Shuqin Zhang
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

Lyapunov-type inequalities for a fractional p-Laplacian system

Fractional Calculus and Applied Analysis, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jleli M., Kirane M., Samet B.
openaire   +4 more sources

Control Systems Design With Enlarged Stability Domains for Nonlinear Constrained Systems via Sum‐of‐Squares Optimization

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Designing safe control laws for nonlinear systems is challenging, especially when ensuring stability under actuator saturation and state constraints. A key aspect is embedding controllers with a Region of Attraction (ROA), which defines initial conditions guaranteeing convergence to a stable equilibrium point (EP).
Bhaskar Biswas, Dmitry Ignatyev, Argyrios Zolotas, Antonios Tsourdos   +3 more
wiley   +1 more source

High‐Order Sliding‐Mode control for MIMO Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper extends Lyapunov‐based homogeneous high‐order sliding‐mode control to a class of uncertain non‐square multi‐input multi‐output (MIMO) nonlinear systems with a well‐defined vector relative degree. The considered systems admit a normal‐form representation with an uncertain but full‐row‐rank input‐gain matrix.
Jaime A. Moreno, Angel Mercado‐Uribe
wiley   +1 more source

The role of identification in data‐driven policy iteration: A system theoretic study

International Journal of Robust and Nonlinear Control, EarlyView.
Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
wiley   +1 more source

Non-fragile mixed H-infinity and passivity control for neural networks with successive time-varying delay components

Nonlinear Analysis, 2018
This paper is concerned with the problem of nonfragile mixed H∞ and passivity control for neural networks with successive time-varying delay components.
Sathasivam Rajavel, Rajendran Samidurai, Sebastiyan Anthuvan Jerome Kilbert, Jinde Cao, Ahmed Alsaedi   +4 more
doaj   +1 more source