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seen Feb 10 at 2:34

Sep
7
answered How to show that a given function is a solution for a partial differential equation.
Aug
15
answered Weird condition for a transfer function
Aug
14
answered Solving differential equations with signum
Aug
10
comment Parametric uncertainty in conditional term of piecewise nonlinear dynamical system
The system you're trying to analyze is ridiculously hard to analyze. To make matters worse, you can't even bound the input. Or can you? Maybe some input-to-state stability (ISS) approach would work?
Aug
10
comment Parametric uncertainty in conditional term of piecewise nonlinear dynamical system
What is an acceptable system behavior? Are you talking about the actual mechanical system, or its mathematical model?
Aug
10
revised What exactly is Laplace transform?
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Aug
10
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Aug
10
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Aug
10
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Aug
10
comment What exactly is Laplace transform?
Then think of the LT as a tool that simplifies the analysis of RLC circuits and mass-spring systems. The LT not only gives you the solutions of ODEs, it also helps you design a circuit / mechanical system such that it has some desired properties. In other words, the LT is useful not only for analysis, but also for synthesis.
Aug
10
revised What exactly is Laplace transform?
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Aug
10
answered What exactly is Laplace transform?
Aug
10
comment Parametric uncertainty in conditional term of piecewise nonlinear dynamical system
What is your exact goal? You already have a model. You can simulate it in Simulink if you want. But, what is your question? Do you want to know if the system is globally asymptotically stable (under some conditions) for all values of $\delta$ in some interval? Since you have a CT-PWA system, closed-form solutions are kind of out of question, and analytical results will likely be very hard to find. Maybe you can discretize the system in time? Discrete-time PWA systems are actually easier to analyze.
Aug
10
answered Parametric uncertainty in conditional term of piecewise nonlinear dynamical system