Solution of State Eqs when A matrix is Time dependent

Barkan
Messages
19
Reaction score
0
Hi all,

I am struggling to solve some simple state equations in the following form.

dx/dt = A x + bu

solution is simple if A has only constant elements, because i can multiply both sides with exp(-At) and solve.

in my case, A has time dependent elements. i know their functions. is there any particular solution for this case?

thank you in advance.
 
Physics news on Phys.org
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
View full post »

Similar threads

A Solving for a steady-state (passive cable equation)
Replies
4
Views
2K
MHB Matrix Methods for Difference Problems II
Replies
7
Views
3K
I How to do Magnus expansion for time-dependent companion matrix?
Replies
7
Views
2K
I LIF Neuron Equation Solution for arbitrary time-dependent current (Neural Dynamics)
Replies
0
Views
2K
MHB Matrix Methods for Difference Problems
Replies
3
Views
2K
I The diffusion equation with time-dependent boundary condition
Replies
8
Views
4K
MHB Changing height in tank depending on time
Replies
1
Views
1K
A Solve PDE w/ Comsol 5.3: Numerical Solution & Time Evolution
Replies
5
Views
3K
MHB Help with a question (Bernoulli General solution)
Replies
8
Views
2K
A How can the stability of an ODE system be determined without solving it?
Replies
7
Views
2K

Hot Threads

Recent Insights

Back
Top