Results 71 to 80 of about 3,985,897 (236)

Stability analysis of nonlinear Lyapunov systems associated withan nth order system of matrix differential equations [PDF]

International Journal of Stochastic Analysis, 2000
This paper introduces the notion of Lipschitz stability for nonlinear nth order matrix Lyapunov differential systems and gives sufficient conditions for Lipschitz stability. We develop variation of parameters formula for the solution of the nonhomogeneous nonlinear nth order matrix Lyapunov differential system.
Murty, K. N., Shaw, Michael D.
openaire   +2 more sources

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

INTERVAL STATE ESTIMATION FOR SINGULAR DIFFERENTIAL EQUATION SYSTEMS WITH DELAYS [PDF]

Научно-технический вестник информационных технологий, механики и оптики, 2016
The paper deals with linear differential equation systems with algebraic restrictions (singular systems) and a method of interval observer design for this kind of systems.
T. A. Kharkovskaia, A. S. Kremlev, D. V. Efimov   +2 more
doaj   +1 more source

Energy Transfer and Saving in a Nonlinear Coupled Vibrating System Based on the Method of Composite Synchronization Transmission

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The vibrating screening equipment in industry usually requires power supply to each driving motor to keep up with its normal operation. The self‐synchronization transmission motion of two motors can achieve the screening requirement and save electrical energy by driving one single inductor motor. Nevertheless, this technology is currently only
Lei Jia, Di Zhang, Dawei Gu
wiley   +1 more source

Dynamic Performance Enhancement of a High‐Agility Hypersonic Mechanical System via a Learning‐Augmented Robust Control Architecture

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The design of control systems for high‐agility mechanical systems operating in extreme environments is a significant challenge in nonlinear dynamics. This paper addresses the complex dynamic control problem of a hypersonic interceptor, modeled as a multi‐input multi‐output (MIMO) mechanical system characterized by strong aerodynamic cross ...
Mohammad Mahdi Soori, Seyed Hossein Sadati   +1 more
wiley   +1 more source

On the Computation of Derivatives within LD Factorization of Parametrized Matrices

Известия Иркутского государственного университета: Серия "Математика", 2018
The paper presents a new method for calculating the values of derivatives in the LD factorization of parametrized matrices, based on the direct procedure for the modified weighted Gram-Schmidt orthogonalization.
Yu. V. Tsyganova, A. V. Tsyganov
doaj   +1 more source

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

Fourier expansion based recursive algorithms for periodic Riccati and Lyapunov matrix differential equations

Journal of Computational and Applied Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haijun Peng, Zhi-Gang Wu, Wanxie Zhong
openaire   +2 more sources

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

Lyapunov stability analysis of higher-order 2-D systems

We give necessary and sufficient conditions, based on the existence of a Lyapunov functional, for the asymptotic stability of a square autonomous 2-D behavior in the sense of ...
Kojima, Chiaki, Takaba, Kiyotsugu, Rapisarda, Paolo   +2 more
core   +3 more sources