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nonlinear-system analysis by the perturbation method

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  • Nonlinear control — is the area of control engineering specifically involved with systems that are nonlinear, time variant, or both. Many well established analysis and design techniques exist for LTI systems (e.g., root locus, Bode plot, Nyquist criterion, state… …   Wikipedia

  • Perturbation theory — This article describes perturbation theory as a general mathematical method. For perturbation theory as applied to quantum mechanics, see perturbation theory (quantum mechanics). Perturbation theory comprises mathematical methods that are used to …   Wikipedia

  • Multiple-scale analysis — In mathematics and physics, multiple scale analysis (also called the method of multiple scales) comprises techniques used to construct uniformly valid approximations to the solutions of perturbation problems, both for small as well as large… …   Wikipedia

  • Sensitivity analysis — (SA) is the study of how the variation (uncertainty) in the output of a mathematical model can be apportioned, qualitatively or quantitatively, to different sources of variation in the input of a model Saltelli, A., Ratto, M., Andres, T.,… …   Wikipedia

  • Reaction–diffusion system — Reaction–diffusion systems are mathematical models which explain how the concentration of one or more substances distributed in space changes under the influence of two processes: local chemical reactions in which the substances are transformed… …   Wikipedia

  • Monte Carlo methods for electron transport — The Monte Carlo method for electron transport is a semiclassical Monte Carlo(MC) approach of modeling semiconductor transport. Assuming the carrier motion consists of free flights interrupted by scattering mechanisms, a computer is utilized to… …   Wikipedia

  • Orr–Sommerfeld equation — The Orr–Sommerfeld equation, in fluid dynamics, is an eigenvalue equation describing the linear two dimensional modes of disturbance to a viscous parallel flow. The solution to the Navier–Stokes equations for a parallel, laminar flow can become… …   Wikipedia

  • Nikolay Bogolyubov — For the actor, see Nikolay Bogolyubov (actor). Nikolay Nikolaevich Bogolyubov Born 21 August 1909( …   Wikipedia

  • Mathematical optimization — For other uses, see Optimization (disambiguation). The maximum of a paraboloid (red dot) In mathematics, computational science, or management science, mathematical optimization (alternatively, optimization or mathematical programming) refers to… …   Wikipedia

  • physical science, principles of — Introduction       the procedures and concepts employed by those who study the inorganic world.        physical science, like all the natural sciences, is concerned with describing and relating to one another those experiences of the surrounding… …   Universalium

  • Chaos theory — This article is about chaos theory in Mathematics. For other uses of Chaos theory, see Chaos Theory (disambiguation). For other uses of Chaos, see Chaos (disambiguation). A plot of the Lorenz attractor for values r = 28, σ = 10, b = 8/3 …   Wikipedia

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