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Showing 1-20 of 79 results
  1. A Novel Strategy of Extending the Domain of Attraction of Affine Nonlinear Systems

    In this paper, a novel strategy of extending the domain of attraction of an asymptotically stable, affine nonlinear system is proposed. This method...

    M. Yadipour, F. Hashemzadeh, M. Baradarannia in Journal of Mathematical Sciences
    Article 25 October 2023
  2. Stable Sequential Pontryagin Maximum Principle in Optimal Control Problems with Phase Restrictions

    In this paper, we obtain optimality conditions in an optimal control problem with pointwise phase constraints of the equality and inequality types...

    F. A. Kuterin, A. A. Evtushenko in Journal of Mathematical Sciences
    Article 18 June 2022
  3. Optimal Control Approach for Implementation of Sterile Insect Techniques

    The vector or pest control is essential to reduce the risk of vector-borne diseases or crop losses. Among the available biological control tools, the...

    P.-A. Bliman, D. Cardona-Salgado, ... O. Vasilieva in Journal of Mathematical Sciences
    Article 23 March 2024
  4. Two-point oscillatory solutions to system with relay hysteresis and nonperiodic external disturbance

    We study an n -dimensional system of ordinary differential equations with a constant matrix, a relay-type nonlinearity, and an external disturbance in...

    Alexander M. Kamachkin, Dmitriy K. Potapov, Victoria V. Yevstafyeva in Applications of Mathematics
    Article 02 April 2024
  5. Exact synchronization and asymptotic synchronization for linear ODEs

    This paper studies exact synchronization and asymptotic synchronization problems for a controlled linear system of ordinary differential equations....

    Lijuan Wang, Qishu Yan in Science China Mathematics
    Article 28 December 2021
  6. Bifurcation Analysis in a Predator-Prey Model with an Allee Effect and a Delayed Mechanism

    Regarding delay-induced predator-prey models, much research has been done on delayed destabilization, but whether delays are stabilizing or...

    Danyang Li, Hua Liu, ... Yumei Wei in Acta Mathematica Scientia
    Article 29 April 2023
  7. Flocking analysis for a generalized Motsch-Tadmor model with piecewise interaction functions and processing delays

    In this paper, a generalized Motsch-Tadmor model with piecewise interaction functions and fixed processing delays is investigated. According to...

    Yipeng Chen, Yicheng Liu, **ao Wang in Applications of Mathematics
    Article 14 June 2022
  8. Dominant subspaces of high-fidelity polynomial structured parametric dynamical systems and model reduction

    In this work, we investigate a model order reduction scheme for high-fidelity nonlinear structured parametric dynamical systems. More specifically,...

    Pawan Goyal, Igor Pontes Duff, Peter Benner in Advances in Computational Mathematics
    Article Open access 03 May 2024
  9. Semi-active dam** optimization of vibrational systems using the reduced basis method

    In this article, we consider vibrational systems with semi-active dam** that are described by a second-order model. In order to minimize the...

    Jennifer Przybilla, Igor Pontes Duff, Peter Benner in Advances in Computational Mathematics
    Article Open access 31 May 2024
  10. Impulsive Exponential Synchronization of Fractional-Order Complex Dynamical Networks with Derivative Couplings via Feedback Control Based on Discrete Time State Observations

    This article aims to address the global exponential synchronization problem for fractional-order complex dynamical networks (FCDNs) with derivative...

    Ruihong Li, Huaiqin Wu, **de Cao in Acta Mathematica Scientia
    Article 03 February 2022
  11. Continuous dependence on parameters and boundedness of solutions to a hysteresis system

    We analyze an ordinary differential system with a hysteresis-relay nonlinearity in two cases when the system is autonomous or nonautonomous....

    Alexander M. Kamachkin, Dmitriy K. Potapov, Victoria V. Yevstafyeva in Applications of Mathematics
    Article 18 February 2021
  12. Hermite kernel surrogates for the value function of high-dimensional nonlinear optimal control problems

    Numerical methods for the optimal feedback control of high-dimensional dynamical systems typically suffer from the curse of dimensionality. In the...

    Tobias Ehring, Bernard Haasdonk in Advances in Computational Mathematics
    Article Open access 29 April 2024
  13. Necessary Conditions in Infinite-Horizon Control Problems that Need no Asymptotic Assumptions

    We consider an infinite-horizon optimal control problem with an asymptotic terminal constraint. For the weakly overtaking criterion and the...

    Article 23 February 2023
  14. Linearization criteria for two-dimensional systems of third-order ordinary differential equations by complex approach

    Linearization criteria for two-dimensional systems of second-order ordinary differential equations (ODEs) have been derived earlier using complex...

    Hina M. Dutt, M. Safdar, Asghar Qadir in Arabian Journal of Mathematics
    Article Open access 28 January 2019
  15. A Variational Approach to Perturbation Feedback Control for Optimal Control Problems with Terminal Constraints and Free Terminal Time

    Using the method of characteristics, for an optimal control problem with terminal constraints and free terminal time, we construct a family of...

    Sankalp Bhan, Heinz Schättler in Set-Valued and Variational Analysis
    Article 08 June 2018
  16. Interpolatory model reduction of parameterized bilinear dynamical systems

    Interpolatory projection methods for model reduction of nonparametric linear dynamical systems have been successfully extended to nonparametric...

    Andrea Carracedo Rodriguez, Serkan Gugercin, Jeff Borggaard in Advances in Computational Mathematics
    Article 01 May 2018
  17. Boundary coupling of microscopic and first order macroscopic traffic models

    We couple, at a fixed interface, the microscopic Follow the Leader model and the macroscopic Lighthill–Whitham–Richards model, both used for...

    Mauro Garavello, Benedetto Piccoli in Nonlinear Differential Equations and Applications NoDEA
    Article 28 June 2017
  18. A Dynamical System Approach for Continuous Nonnegative Matrix Factorization

    Nonnegative matrix factorization is a linear dimensionality reduction technique used for decomposing high-dimensional nonnegative data matrices for...

    Melisew Tefera Belachew, Nicoletta Del Buono in Mediterranean Journal of Mathematics
    Article 28 December 2016
  19. Legendre Transform and Applications to Finite and Infinite Optimization

    We investigate convex constrained nonlinear optimization problems and optimal control with convex state constraints in the light of the so-called...

    Cristopher Hermosilla in Set-Valued and Variational Analysis
    Article 23 March 2016
  20. Design of Robust Fractional PID Controller Using Triangular Strip Operational Matrices

    The present article proposes a simple tuning technique aimed to produce a robust non-integer order PID controller exhibiting iso-dam** property...

    Seshu Kumar Damarla, Madhusree Kundu in Fractional Calculus and Applied Analysis
    Article 29 October 2015
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