Determination of the characteristic curves of a nonlinear first order system from Fourier analysis [PDF]
Based on Fourier analysis, we develop an expression for modeling and simulating nonlinear first order systems. This expression is associated to a nonlinear first order differential equation $$y=f(x)+g(x)x'$$ y = f ( x ) + g ( x ) x ′ , where $$x=x(t)$$ x
Federico J. Gonzalez
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Robust fractional order PID controller synthesis for the first order plus integral system
The fractional order PID (FOPID) controller has been found to have the potential to provide more flexibility in the design options than the integer order PID (IOPID) controller.
Weijia Zheng +4 more
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Stratified guarded first-order transition systems [PDF]
Abstract First-order transition systems are a convenient formalism to specify parametric systems such as multi-agent workflows or distributed algorithms. In general, any nontrivial question about such systems is undecidable. Here, we present three subclasses of first-order transition systems where every universal invariant can effectively be ...
Christian Müller, Helmut Seidl
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Distributed Learning Systems with First-Order Methods [PDF]
Scalable and efficient distributed learning is one of the main driving forces behind the recent rapid advancement of machine learning and artificial intelligence. One prominent feature of this topic is that recent progress has been made by researchers in two communities: (1) the system community such as database, data management, and distributed ...
Ji Liu 0002, Ce Zhang 0001
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A New Analytic Solution Method for a Class of Generalized Riccati Differential Equations
We give a useful and practicable solution method for the general Riccati differential equation of the form $w^{\prime }\left( x\right) =p\left( x\right) +q\left( x\right) w\left( x\right) +r\left( x\right) w^{2}\left( x\right) $.
Adil Mısır
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New Solvable System of 2 First-Order Nonlinearly-Coupled Ordinary Differential Equations [PDF]
In this short communication we introduce a rather simple autonomous system of 2 nonlinearly-coupled first-order Ordinary Differential Equations (ODEs), whose initial-values problem is explicitly solvable by algebraic operations.
Francesco Calogero, Farrin Payandeh
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Re-Investigation of Generalized Integrator Based Filters From a First-Order-System Perspective
The generalized integrator (GI)-based filters can be categorized into two types: one is related to quadrature signal generator (QSG), and the other is related to sequence filter (SF).
Zhen Xin +4 more
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Constructive Solution of Ellipticity Problem for the First Order Differential System
We built first order elliptic systems with any possible number of unknown functions and the maximum possible number of unknowns, i.e, in general. These systems provide the basis for studying the properties of any first order elliptic systems.
Vladimir E. Balabaev
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Asymptotic Behavior of Bounded Solutions to a First Order Gradient-like System
In this paper, we prove the long time behavior of bounded solutions to a first order gradient-like system with low damping and perturbation terms. Our convergence results are obtained under some hypotheses of KurdykaLojasiewicz inequality and the angle ...
Minh-Phuong Tran, Thanh-Nhan Nguyen
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Solution for a System of First-Order Linear Fuzzy Boundary Value Problems
In this paper, we consider homogeneous and non-homogeneous system of first order linear fuzzy boundary value problems (SFOLBVPs) under granular differentiability.
S. Nagalakshmi +2 more
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