Piecewise Linear Systems with Closed Sliding Poly-Trajectories [PDF]
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De Moraes, Jaime R., Da Silva, Paulo R.
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Modeling nonlinear systems using multiple piecewise linear equations
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
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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Bifurcation of Limit Cycles of a Class of Piecewise Linear Differential Systems in with Three Zones
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]
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]
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]
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]
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]
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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THE CONSTRUCTION OF SOLUTIONS OF PIECEWISE-LINEAR PHASE SYSTEMS
The creation of methods for the study of nonlinear phase systems has a long history, since the 60s of the last century (V.I. Tikhonov, V. Lindsay, M.V. Kapranov, B.I. Shakhtarin, etc.).
A. F. Gribov, B. I. Shakhtarin
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