Perturbed Linear System
Not what you're looking for?
Consider the perturbed linear system
x' = (A + eB(t))x, x is an element of R^n,
where A is a constant matrix, B is a bounded continuous matrix valued function, and e is a small parameter. Assume that all eigenvalues of A have non-zero real part.
1) Show that the only bounded solution of the system is 0.
2) If A has an eigenvalue with zero real part, then is the above still true?
Purchase this Solution
Solution Summary
This is a proof regarding the bounded solution of a perturbed linear system. The solution is enclosed within a Word document.
Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Probability Quiz
Some questions on probability
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.