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Density function of piecewise linear transformation

Journal of Economic Behavior & Organization, 2005
Abstract Let f a , b ( x ) = min a x + a + b − a b / b , b ( 1 − x ) : I → I be a piecewise linear map from the unit interval, I = [0, 1] into itself where a > 0 and b > 1. This map can generate various dynamics ranging from the simple to complex involving chaos according to the strength of nonlinearities ...
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Piecewise-linear functions in robust control

2005
In this contribution we have described basic properties of piecewise-linear (polyhedral) Lyapunov functions in the control of systems with parametric uncertainties and unknown but bounded disturbances. We have shown some numerical procedures for their synthesis and we have presented some applications.
BLANCHINI, Franco, MIANI, Stefano
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Piecewise linear function

2001
Saul I. Gass, Carl M. Harris
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Polaron hopping through piecewise-linear functionals

Physical Review B, 2023
Stefano Falletta, Alfredo Pasquarello
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Combinatorial Aspects of Piecewise Linear Functions

Journal of the London Mathematical Society, 1974
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