Results 131 to 140 of about 5,356 (162)

Automatic Derivation of Optimal Piecewise Affine Approximations of Nonlinear Systems

IFAC Proceedings Volumes, 2011
Abstract The paper proposes a method for deriving optimal piecewise affine (PWA) approximations of nonlinear systems with known analytic form. The procedure employs nonlinear optimization to derive an approximation of maximal accuracy and given complexity.
Michal Kvasnica, Alexander Szücs, Miroslav Fikar   +2 more
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Dynamics of functions with piecewise non-positive Schwarzian derivatives

Journal of Difference Equations and Applications, 2009
This paper studies functions which are piecewise defined and have on each subinterval either a non-positive Schwarzian derivative or are constant. We show that this property is conserved under composition and that it allows to study the dynamics, fixed points and cycles, convergence and chaotic behavior of such functions.
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A variational derivation of LQR for piecewise time-varying systems

2015 American Control Conference (ACC), 2015
This paper provides a complete derivation for LQR optimal controllers and the optimal value function using basic principles from variational calculus. As opposed to alternatives, the derivation does not rely on the Hamilton-Jacobi-Bellman (HJB) equations, Pontryagin's Maximum Principle (PMP), or the Euler Lagrange (EL) equations.
Alex Ansari, Todd Murphey
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Some Bounds on the Computational Power of Piecewise Constant Derivative Systems

Theory of Computing Systems, 1999
We study the computational power of Piecewise Constant Derivative (PCD) systems. PCD systems are dynamical systems defined by a piecewise constant differential equation and can be considered as computational machines working on a continuous space with a continuous time.
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Miura-Base Rigid Origami: Parameterizations of First-Level Derivative and Piecewise Geometries

Journal of Mechanical Design, 2013
Miura and Miura-derivative rigid origami patterns are increasingly used for engineering and architectural applications. However, geometric modelling approaches used in existing studies are generally haphazard, with pattern identifications and parameterizations varying widely.
Gattas, Joseph M., Wu, Weina, You, Zhong
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A simplex algorithm for piecewise-linear programming I: Derivation and proof

Mathematical Programming, 1985
The paper develops a direct extended-simplex approach to the minimization of a convex separable piecewise-linear function under linear constraints of the form \(Ax=b\). The starting observation is that any convex piecewise-linear function \(f_ k\) of one variable \(x_ k\) can be specified up to an additive constant by the increasing sequence of its ...
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Reachability and Mortality Problems for Restricted Hierarchical Piecewise Constant Derivatives

2014
We show the NP-hardness of the reachability and mortality problems for a three dimensional variant of Piecewise Constant Derivative (PCD) system called a bounded 3-dimensional Restricted Hierarchical PCD (3-RHPCD). Both problems are shown to be in PSPACE, even for n-dimensional RHPCD.
Paul C. Bell, Shang Chen, Lisa Jackson
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Pricing Interest-Rate Derivatives with Piecewise Multilinear Interpolations and Transition Parameters

The Journal of Derivatives, 2014
Interest-rate derivatives like swaptions are challenging to price because they depend on the term structure of interest rates, which potentially has many degrees of freedom, requiring modeling numerous underlying stochastic factors (often at least three for the level and more if stochastic volatility is allowed).
Hatem Ben-Ameur, Lotfi Karoui, Walid Mnif   +2 more
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Performance of Ritz‐Piecewise Gegenbauer Approach for Two Types of Fractional Pantograph Equations Including Piecewise Fractional Derivative

Mathematical Methods in the Applied Sciences
ABSTRACTThis paper introduces a novel numerical algorithm for solving pantograph differential equations and Volterra functional integro‐differential equations including the piecewise fractional derivative. The proposed algorithm combines the piecewise Gegenbauer functions, the Ritz method, and operational matrices.
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Maximum-Period PRNGs Derived From A Piecewise Linear One-Dimensional Map

2007 IEEE International Symposium on Circuits and Systems (ISCAS), 2007
In this paper a novel family of maximum-period nonlinear congruential generators (NLCGs) based on the digitized sawtooth map is considered for the definition of hardware and software efficient pseudo random number generators (PRNGs). A list of such maximum period NLCGs for period lengths up to 231-1 is provided.
ADDABBO T., ALIOTO M., FORT A., ROCCHI S., VIGNOLI V.   +4 more
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