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Homoclinic Bifurcations in Planar Piecewise-Linear Systems [PDF]
Discrete Dynamics in Nature and Society, 2013 The problem of homoclinic bifurcations in planar continuous piecewise-linear systems with two zones is studied. This is accomplished by investigating the existence of homoclinic orbits in the systems.
Bin Xu, Fenghong Yang, Yun Tang, Mu Lin
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Virtual Estimator for Piecewise Linear Systems Based on Observability Analysis [PDF]
Sensors, 2013 This article proposes a virtual sensor for piecewise linear systems based on observability analysis that is in function of a commutation law related with the system’s outpu. This virtual sensor is also known as a state estimator.
Ilse Cervantes +4 more
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Characterization of well-posedness of piecewise linear systems [PDF]
IEEE Transactions on Automatic Control, 2000 One of the basic issues in the study of hybrid systems is the well-posedness (existence and uniqueness of solutions) problem of discontinuous dynamical systems.
Imura, Jun-ichi, Schaft, Arjan van der
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Dynamics of delayed piecewise linear systems [PDF]
Electronic Journal of Differential Equations, 2003 In this paper the dynamics of the controlled pendulum is investigated assuming backlash and time delays. The upper equilibrium of the pendulum is stabilized by a piecewise constant control force which is the linear combination of the sampled values of ...
Laszlo E. Kollar +2 more
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On limit cycles of piecewise differential systems formed by arbitrary linear systems and a class of quadratic systems [PDF]
Mathematica Bohemica, 2023 We study the continuous and discontinuous planar piecewise differential systems separated by a straight line and formed by an arbitrary linear system and a class of quadratic center.
Aziza Berbache
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FEEDBACK LINEARIZATION OF PIECEWISE LINEAR SYSTEMS [PDF]
IFAC Proceedings Volumes, 2005 One of the classical problems of nonlinear systems and control theory is feedback linearization. Its obvious motivation is that one can utilize linear control theory if the nonlinear system at hand is linearizable by feedback. This problem is well-understood for the smooth nonlinear systems. In the present paper, we investigate feedback linearizability
Çamlıbel, Mehmet Kanat +1 more
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IET Control Theory & Applications, 2021 Mathematical modelings of many electric and mechanical systems involve piecewise linear system. Piecewise linear system can possess a periodic solution called a limit‐cycle oscillation (LCO), which can seriously undermine the system performance ...
Yongeun Yoon, Eric N Johnson
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Mathematics, 2022 In this paper, the dynamic response of piecewise linear systems with asymmetric damping and stiffness for random excitation is studied. In order to approximate the statistical characteristics for each significant output of piecewise linear system, a ...
Tudor Sireteanu +3 more
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Limit Cycles of Polynomially Integrable Piecewise Differential Systems
Axioms, 2023 In this paper, we study how many algebraic limit cycles have the discontinuous piecewise linear differential systems separated by a straight line, with polynomial first integrals on both sides.
Belén García +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 Due to their applications to many physical phenomena during these last decades the interest for studying the discontinuous piecewise differential systems has increased strongly.
Rebiha Benterki +2 more
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