Browsing by Subject "nonlinear systems"

Now showing 1 - 6 of 6

Access status: Open Access ,
A unique weak solution for a kind of coupled system of fractional Schrödinger equations
(Wydawnictwa AGH, 2020) Abdolrazaghi, Fatemeh; Razani, Abdolrahman
In this paper, we prove the existence of a unique weak solution for a class of fractional systems of Schrödinger equations by using the Minty-Browder theorem in the Cartesian space. To this aim, we need to impose some growth conditions to control the source functions with respect to dependent variables.
Access status: Open Access ,
Czy sterowanie predykcyjne wymaga dokładnej optymalizacji?
(Wydawnictwa AGH, 2006) Bania, Piotr
A nonlinear predictive control scheme, which does not require an exact solution of optimal control problem is proposed. The proper asumptions are formulated and the stability of the closed loop system is proved. These results are used for analysis of proposed algorithm robustness. Robust stability of the alghorithm is proved in the case of suboptimal solutions of the optimal control problem in the presence of bounded disturbances. Proposed schme is applied to the pendulum-cart nonlinear control system with disturbances.
Access status: Open Access ,
On a fixed point theorem for operator systems and eigenvalue criteria for existence of positive solutions
(Wydawnictwa AGH, 2026) Fernández-Pardo, Laura M.; Rodríguez-López, Jorge
We provide an alternative approach, based on the Leray-Schauder fixed point index in cones, to a fixed point theorem for operator systems due to Precup. Our focus is on the case of operators whose components are entirely of compressive type. The abstract technique is applied to a system of second-order differential equations providing a coexistence positive solution by means of an eigenvalue type criterion.
Access status: Open Access ,
Semiactive control strategies for a fully suspended bicycle
(Wydawnictwa AGH, 2005) Plaza, Krzysztof
The purpose of this work is to present methods for designing semiactive vibration systems, which include mathematical models of vibrating structures. Thus aspects of model building, identification and verification are described in the paper as well as determination of the performance indices, choice of the damping technique, shock absorber modeling and algorithm selection. The article presents a semiactive vibration system analysis of a fully suspended bicycle. For all of the simulation experiments and serving as a reference for the identification experiment a phenomenological model of the bicycle was developed in the Simulink environment. The model was confronted with the real time experiments, which were conducted with the help of an electrical system. The necessity of the discussion of the various performance indices is underlined. Simple control strategy is tested on the bicycle.
Access status: Restricted ,
Sztuczne sieci neuronowe : dynamika nieliniowa i chaos
(Wydawnictwa Naukowo-Techniczne, 2004) Kosiński, Robert A.
Access status: Open Access ,
Trust region based parametric optimisation for nonlinear systems
(Wydawnictwa AGH, 2012) Baranowski, Jerzy; Bauer, Waldemar
In this paper, we propose the possibility of solution of parametric optimisation problem with a trust region algorithm. Problem of parameter optimisation is reformulated into initial condition optimisation resulting in analytical formulas for gradients and hessian which are then subsequently used in the trust region algorithm. An example of nonlinear series DC motor controller optimisation is presented along with some numerical results.