Modeling nonlinear systems using multiple piecewise linear equations
Nonlinear Analysis, 2010 This paper describes a technique for modeling nonlinear systems using multiple piecewise linear equations. The technique provides a means for linearizing the nonlinear system in such a way as to not limit the large signal behavior of the target system ...
G. K. Lowe, M. A. Zohdy
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Dynamic properties of piecewise linear systems with fractional time-delay feedback
Journal of Low Frequency Noise, Vibration and Active Control, 2021 The forced vibration of a single-degree-of-freedom piecewise linear system containing fractional time-delay feedback was investigated. The approximate analytical solution of the system was obtained by employing an averaging method.
Jianchao Zhang +3 more
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Digital controlling of piecewise linear systems [PDF]
2000 2nd International Conference. Control of Oscillations and Chaos. Proceedings (Cat. No.00TH8521), 2002 A mechanical model of a digital balancing system is constructed and its stability analysis is presented. This model describes practical problems like backlash and sampling delay. Stationary and periodic solutions are determined numerically for the case of the system without sampling.
Kollar, László E., Stepan, G.
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Bifurcation of Limit Cycles of a Class of Piecewise Linear Differential Systems in with Three Zones
Discrete Dynamics in Nature and Society, 2013 We study the bifurcation of limit cycles from periodic orbits of a four-dimensional system when the perturbation is piecewise linear with two switching boundaries.
Yanyan Cheng
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Piecewise quadratic Lyapunov functions for stability verification of approximate explicit MPC [PDF]
Modeling, Identification and Control, 2010 Explicit MPC of constrained linear systems is known to result in a piecewise affine controller and therefore also piecewise affine closed loop dynamics.
Morten Hovd, Sorin Olaru
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Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System [PDF]
, 2008 The proof of the existence of a global connection in differential systems is generally a difficult task. Some authors use numerical techniques to show this existence, even in the case of continuous piecewise linear systems.
Carmona Centeno, Victoriano +2 more
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Presumptions—The Uniform Rules in the Federal Courts [PDF]
, 1964 Emerging heavy duty vehicle control systems increasingly rely on advance knowledge of the road topography, described by the longitudinal road grade. Highway road grade profiles are restricted by road design specifications to be piecewise affine.
Gattami, Ather +2 more
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On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line [PDF]
, 2014 In this paper we study the maximum number $N$ of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line.
Euzébio, Rodrigo D., Llibre, Jaume
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Exploiting structure in piecewise affine identification of LFT systems [PDF]
, 2009 Identification of interconnected systems is a challenging problem in which it is crucial to exploit the available knowledge about the interconnection structure.
Date, P +3 more
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Canard trajectories in 3D piecewise linear systems
Discrete & Continuous Dynamical Systems - A, 2013 We present some results on singularly perturbed piecewise linear systems, similar to those obtained by the Geometric Singular Perturbation Theory. Unlike the differentiable case, in the piecewise linear case we obtain the global expression of the slow manifold Sε. As a result, we characterize the existence of canard orbits in such systems.
Prohens, Rafel, Teruel, Antonio E.
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