Results 81 to 90 of about 5,207,637 (277)
Motion planning of nonholonomic systems with tracking control Lyapunov function
, 2010 A common approach to motion planning of robots and vehicles involves finding suitable trajectories for the positions of each configuration variable, and then using feedback to regulate the system to these trajectories.
Tang ZJ(唐智杰) +4 more
core +1 more source
On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming ...
S. Girel, Q. Richard
wiley +1 more source
Solution of polynomial Lyapunov and Sylvester equations
, 2006 A two-variable polynomial approach to solve the one-variable polynomial Lyapunov and Sylvester equations is proposed. Lifting the problem from the one-variable to the two-variable context gives rise to associated lifted equations which live on finite ...
Peeters, Ralf, Rapisarda, Paolo
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT In this study, a robust position control strategy is presented for a two‐stage electro‐hydraulic actuator system using a fractional‐order proportional–integral–derivative (FOPID) controller tuned by Kirchhoff's law algorithm (KLA). Electro‐hydraulic systems exhibit strong nonlinearities, parameter uncertainties, and external disturbances ...
Ridvan Firat Cinar +8 more
wiley +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Fractional calculus, with its unique advantage in describing memory and nonlocal effects, has become a key tool for modeling nonlinear dynamic systems. Its integration with circuit systems has opened up a new paradigm for modern circuit design.
Zhimo Jian +4 more
wiley +1 more source
Stability Analisys of SEIR Epidemiological Models with Nonlinear Incidence:Case Study in the Central Java Province, Indonesia [PDF]
, 2011 SEIR epidemic models that are described as the system of ordinary differential equations with nonlinear incidence rates are proposed. In the SEIR model, the total population is divided into four classes, i.e., susceptible, exposed, infective, and ...
Widhayanti, Kurnia, Widowati, Widowati
core +1 more source
Study of finite amplitude capillary waves stability
MATEC Web of Conferences, 2018 The direct Lyapunov method is used to study capillary waves. The dynamic equations of the capillary wave are presented in the form of an infinite Euler-Lagrange chain of equations for the Stokes coefficients.
Petrov Alexander, Lopushanski Mariana
doaj +1 more source
Classification of Processes by the Lyapunov exponent [PDF]
This paper deals with the problem of the discrimination between wellpredictable and not-well-predictable time series. One criterion for the separation is given by the size of the Lyapunov exponent, which was originally defined for deterministic systems ...
Busse, Anja M.
core
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 +5 more
wiley +1 more source
Estimation of the Attraction Domain for the Quantum Systems Based on the Schrödinger Equation
AxiomsThis paper investigates a quantum system described by the Schrödinger equation, utilizing the concept of the quantum Lyapunov function. The Lyapunov function is chosen based on the mean value of a virtual mechanical quantity, where different values of P,
Hongli Yang +2 more
doaj +1 more source