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Questions tagged [linearization]

Linearization refers to finding the linear approximation to a function at a given point. Linearization is a method for assessing the local stability of an equilibrium point of a dynamic system, either composed of nonlinear differential equations or discrete dynamical systems.

Linearization refers to finding the linear approximation to a function at a given point. Linearization is a method for assessing the local stability of an equilibrium point of a dynamic system, either composed of nonlinear differential equations or discrete dynamical systems. This method is used in fields such as applied math, engineering, physics, economics, and so forth.

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Why are pure virtual methods not overridden from a different inheritance branch?

I have this, maybe a little bit complex class hierarchy: class BS { public: virtual void meth()=0; }; class BCA : public virtual BS { }; class BSS : public virtual BS { }; class BCS : public virtual BCA, public virtual BSS { }; class BI4…
peterh
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MATLAB: linearize an existing Simulink model?

I know how to use linmod in MATLAB to linearize a Simulink model, but this requires modifying the model in order to get the linearization done. For instance, consider the model: In order to linearize it I would need to create a modified model like…
space_voyager
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Matlab - linearizing model and getting transfer function

What I Have to do : Perform the linearization in the vicinity of the operating point. Determine the linearized transfer This is my non-linear operating point model ('op') with step : This is my non-linear operating point model ('linmod'), where…
Smuk
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Control number of states in matlab linear analysis tool

I am linearizing a simulink model with 3 inputs and 6 outputs using MATLAB linear analysis tool. It includes an integrator which transfers all my 6 states which are: Roll, Rolldot, Pitch, Pitchdot, Yaw, and Yawdot. The problem is that the linearized…
SinaReza
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Linearize non-linear model considering a partial set of states in Matlab\Simulink

I've a non-linear model with 9 states. For the linearization procedure, it considers 8 states because one state is not visible from a point of view of linearization, in base of assumptions . My question is (and hope someone helps me): how to do in…
user2896152
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Can s_j=max{ a_j, s_i+t_ij } be formulated as a linear constraint?

My question is whether there is a trick to express the following as a linear constraint? S_j=max{ a_j, S_i+t_ij } where a_j and t_ij are constants Many thanks in advance
user2922916
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How to write let two Python abstract classes implement each other's abstract methods?

Suppose you have abstract classes A1 and A2. Each of them has an abstract method and a concrete method. from abc import ABC, abstractmethod class A0(ABC): pass class A1(A0, ABC): def foo(self): return 1 @abstractmethod def…
Yang Bo
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Linearize multiplication/division of two variables in Linear programming

I have a Linear programming problem I am trying to formulate. I need to define a variable which is the fraction of one particular variable divided by the sum of this variable over the entire set it is defined on. Let me explain this further: sets: t…
J_Smith
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How to linearize an implication?

Could someone help me linearize this implication? Being x and y integer variables, the implication is the following x >= 1 --> y = 0 y >= 1 --> x = 0 I would really appreciate some help.
Leila Lemos
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Product of binary and integer constraint - Linear Programming

I am trying to formulate a linear program that will assign different number of employees to start in different days. Each group of employees starting on a day will get two days off during the week. However, the schedule is unknown. For example,…
Wassen Mohammad
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Linearize if statement in MILP constraint

I am trying to solve an optimization problem in which one of the constraints is : x*y=0, where x and y are decision variables and only x or y can be positive. In other words, if x!=0 then y=0 and if y!=0 then x=0. Please help
amal nammouchi
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Linearization of if-then constraint

I'm trying to linearize a constraint of this form: if a == b then c = 1 where a and b are positive integers and c is a binary variable. I'm looking for a solution like this one…
Unziello
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Linearize non-linear constraint (product of two continuous variables)

I have a problem with linearizing a constraint because of the product of two continuous variables. Suppose that the non-linear constraint is A = b + x1 x2 : A,x1,x2 are non-negative continuous variables. How can I linearize this constraint? I…
Abdalrahman Algendi
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Optimize min{x/(x+1)}

I am using CVXPY to solve a simple optimization problem min{sum(x)} subject to constraints Ax <= b, where vector of variables x >= 0, and the problem solves perfectly, of course. However, for the purpose of my research, I need to modify the problem…
AndrewMaa
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Equation system with derivatives

I have to solve the following system: X'(t) = -D(t)x(t)+μ(s(t), p(t))x(t); S'(t) = D(t)(s(t)^in - s(t)) - Yxsμ(s(t), p(t))x(t) p'(t) = -D(t)p(t)+(aμ(s(t), p(t))+b)x(t) where μ(s(t), p(t)) = Μmax ((1 - (p(t)/pm))s(t)) / (km+s(t)+(s(t) ^…
Konstantinos
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