Results 61 to 70 of about 2,291,454 (248)

Enhanced Control Strategies for Residual‐Vibration Suppression and Adaptive Tracking in Flexible Manipulator Under Unknown Bounded Disturbances

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This paper proposes a hybrid control strategy for flexible‐link manipulators that combines offline trajectory planning with adaptive tracking to suppress residual elastic vibration (REV) under unknown bounded disturbances. A rigid–flexible coupling dynamics model is first established using the floating‐frame method and Lagrange's equations ...
Mingming Shi, Bao Rong, Xiaoting Rui, Guoping Wang, Xiaoli Dong, Xin Zhao   +5 more
wiley   +1 more source

Hyers–Ulam–Rassias Stability of Nonlinear Implicit Higher-Order Volterra Integrodifferential Equations from above on Unbounded Time Scales

Mathematics
In this paper, we present sufficient conditions for Hyers-Ulam-Rassias stability of nonlinear implicit higher-order Volterra-type integrodifferential equations from above on unbounded time scales.
Andrejs Reinfelds, Shraddha Christian
doaj   +1 more source

Cone valued Lyapunov functions and Lipschitz stability of nonlinear systems of differential equations

International Journal of Mathematics and Mathematical Sciences, 1996
We introduce a new comparison result which will be an important tool when we apply cone valued Lyapunov like functions. We also introduce new concepts of ϕ0-uniform Lipschitz stability and (λ,λ,ϕ0)-practical stability and employ our comparison result to ...
Olusola Akinyele
doaj   +1 more source

Lipschitz and Hölder stability of optimization problems and generalized equations [PDF]

Mathematical Programming, 2015
This paper studies stability aspects of solutions of parametric mathematical programs and generalized equations, respectively, with disjunctive constraints. We present sufficient conditions that, under some constraint qualifications ensuring metric subregularity of the constraint mapping, continuity results of upper Lipschitz and upper Hölder type ...
Helmut Gfrerer, Diethard Klatte
openaire   +3 more sources

Suboptimal Model Predictive Control With a Computation Governor: Stability, Recursive Feasibility, and Applications to Alternating Direction Method of Multipliers

Optimal Control Applications and Methods, EarlyView.
Computational governor is shown which simultaneously adjusts the reference and adjusts the constraints. ABSTRACT The paper considers a computational governor strategy to facilitate the implementation of Model Predictive Control (MPC) based on inexact optimization when the time available to compute the solution may be insufficient.
Steven van Leeuwen, Ilya Kolmanovsky
wiley   +1 more source

Integrating Lipschitz Extensions and Probabilistic Modelling for Metric Space Classification

Mathematics
Lipschitz-based classification provides a flexible framework for general metric spaces, naturally adapting to complex data structures without assuming linearity.
Roger Arnau, Álvaro González Cortés, Enrique A. Sánchez Pérez   +2 more
doaj   +1 more source

Generalized Lipschitz Algebras [PDF]

, 1967
A class of Banach algebras which generalize the idea of the Lipschitz algebra on a metric space is studied. It is shown that homomorphisms of these algebras correspond to mappings of the underlying space which satisfy certain moduli of continuity.
Bishop, Ernest
core  

Lipschitz stability in an inverse problem for the Kuramoto–Sivashinsky equation [PDF]

Applicable Analysis, 2013
This paper presents an inverse problem for the nonlinear 1-d Kuramoto-Sivashinsky (K-S) equation. More precisely, we study the nonlinear inverse problem of retrieving the anti-diffusion coefficient from the measurements of the solution on a part of the boundary and at some positive time everywhere.
Baudouin, Lucie, Cerpa, Eduardo, Crépeau, Emmanuelle, Mercado, Alberto   +3 more
openaire   +3 more sources

Safeguarded Reinforcement Learning for Dynamic Environments

Optimal Control Applications and Methods, EarlyView.
This paper uses a combination of Reinforcement Learning and Funnel Control to train a fast and safe controller for systems operating in changing environments. Furthermore, the presented formulation overcomes former limitations associated with the need for predefined reference trajectories.
Simon Gottschalk
wiley   +1 more source

Generalized Lipschitz Stability for Switched Differential Equations with Riemann–Liouville Fractional Derivatives with Respect to Another Function

Fractal and Fractional
Switched fractional differential equations with Riemann–Liouville fractional derivatives with respect to another function (RLDFs) with orders between zero and one are studied.
Snezhana Hristova, Donal O’Regan
doaj   +1 more source