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linear state equation

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  • Linear differential equation — In mathematics, a linear differential equation is a differential equation of the form: Ly = f ,where the differential operator L is a linear operator, y is the unknown function, and the right hand side fnof; is a given function (called the source …   Wikipedia

  • State space (controls) — In control engineering, a state space representation is a mathematical model of a physical system as a set of input, output and state variables related by first order differential equations. To abstract from the number of inputs, outputs and… …   Wikipedia

  • Linear-quadratic regulator — The theory of optimal control is concerned with operating a dynamic system at minimum cost. The case where the system dynamics are described by a set of linear differential equations and the cost is described by a quadratic functional is called… …   Wikipedia

  • Linear-quadratic-Gaussian control — In control theory, the linear quadratic Gaussian (LQG) control problem is one of the most fundamental optimal control problems. It concerns uncertain linear systems disturbed by additive white Gaussian noise, having incomplete state information… …   Wikipedia

  • Linear equation — A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable.Linear equations can have one, two, three or more variables. Linear equations occur with… …   Wikipedia

  • Linear elasticity — Continuum mechanics …   Wikipedia

  • Equation of state — In physics and thermodynamics, an equation of state is a relation between state variables.cite book | author=Perrot, Pierre | title=A to Z of Thermodynamics | publisher=Oxford University Press | year=1998 | id=ISBN 0 19 856552 6] More… …   Wikipedia

  • equation — n. 1) to formulate, state an equation 2) to solve, work (esp. AE) an equation 3) a differential; first degree; identical; integral; linear; quadratic; simple equation; an equation in one unknown; an equation in two unknowns 4) (misc.) the human… …   Combinatory dictionary

  • Linear functional — This article deals with linear maps from a vector space to its field of scalars.  These maps may be functionals in the traditional sense of functions of functions, but this is not necessarily the case. In linear algebra, a linear functional… …   Wikipedia

  • Linear polarization — In electrodynamics, linear polarization or plane polarization of electromagnetic radiation is a confinement of the electric field vector or magnetic field vector to a given plane along the direction of propagation. See polarization for more… …   Wikipedia

  • Linear dynamical system — In a linear dynamical system, the variation of a state vector (an N dimensional vector denoted mathbf{x}) equals a constant matrix(denoted mathbf{A}) multiplied by mathbf{x}. This variation can take two forms: either as a flow, in which mathbf{x} …   Wikipedia

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