Successive approximation method for quasilinear impulsive differential equations with control

Date

2000-07-01

Author

Akhmetov, MU
Zafer, Ağacık

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

45
views

0
downloads

We introduce a technique to define successive approximations to solutions of the control problem with implulse actions on surfaces

Subject Keywords

Successive approximation, Quasilinear system, Control, Impulse

URI

https://hdl.handle.net/11511/56876

Journal

APPLIED MATHEMATICS LETTERS

DOI

https://doi.org/10.1016/s0893-9659(00)00040-9

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Gibbs Sampling in Inference of Copula Gaussian Graphical Model Adapted to Biological Networks Purutçuoğlu Gazi, Vilda (2017-09-01) Markov chain Monte Carlo methods (MCMC) are iterative algorithms that are used in many Bayesian simulation studies, where the inference cannot be easily obtained directly through the defined model. Reversible jump MCMC methods belong to a special type of MCMC methods, in which the dimension of parameters can change in each iteration. In this study, we suggest Gibbs sampling in place of RJMCMC, to decrease the computational demand of the calculation of high dimensional systems. We evaluate the performance of...
Hierarchical discrete event systems with inputs and outputs Perk, Sebastian; Moor, Thomas; Schmidt, Klaus Verner (null; 2006-12-01) We propose a framework for the hierarchical design of discrete event systems that addresses both safety and liveness properties. Technically, we build on a notion of inputs and outputs that is closely related to J.C. Willems' behavioural systems theory. We develop a structural admissibility condition that allows for abstraction-based controller synthesis similar to previous work on hybrid control systems. A key feature of our framework is an alternation of subsystem composition and controller synthesis that...
Stochastic discontinuous Galerkin methods for robust deterministic control of convection-diffusion equations with uncertain coefficients Çiloğlu, Pelin; Yücel, Hamdullah (2023-04-01) We investigate a numerical behavior of robust deterministic optimal control problem subject to a convection-diffusion equation containing uncertain inputs. Stochastic Galerkin approach, turning the original optimization problem containing uncertainties into a large system of deterministic problems, is applied to discretize the stochastic domain, while a discontinuous Galerkin method is preferred for the spatial discretization due to its better convergence behavior for optimization problems governed by conve...
Time Constrained Temporal Logic Control of Multi Affine Systems Aydın Göl, Ebru (2012-01-01) In this paper, we consider the problem of controlling a dynamical system such that its trajectories satisfy a temporal logic property in a given amount of time. We focus on multiaffine systems and specifications given as syntactically co-safe linear temporal logic formulas over rectangular regions in the state space. The proposed algorithm is based on the estimation of time bounds for facet reachability problems and solving a time optimal reachability problem on the product between a weighted transition sys...
Linear Analysis of Zero-Lift Pitching Moment Coefficient and Gravity Effects on Missile Autopilots Ovec, Naz T.; Erer, Koray S.; Kutay, Ali Türker (2015-03-14) The most of the studies on disturbance rejection are covered with robust control methods, where this paper suggests a narrowed but a more simplified linear model based technique to assess the robustness of the controllers. In this paper presented, the problems originated from the disturbances are aimed to be obtained as far in advance as possible. The method used in this work reduces the iterative fine tuning time course between the non-linear simulation and the linear model; hence it enhances the authority...

Citation Formats

M. Akhmetov and A. Zafer, “Successive approximation method for quasilinear impulsive differential equations with control,” APPLIED MATHEMATICS LETTERS, pp. 99–105, 2000, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56876.