If I have a MIMO system with a number of subsystems with moderate amount of coupling sensitivity and if those individual subsystems are BIBO stable then under what conditions the whole system can be considered to be BIBO stable ? Is there any necessary and sufficient conditions that needs to be satisfied ? An answer from the control theoretic point of view would be most appreciated.
Hi Biswajit,
A couple of clarifications are required in the question, I think !
1. Are you talking about generic nonlinear systems, or simply linear systems?
2. What exactly do you imply by moderate amount of coupling sensitivity ?
-Sanjay
Hi All,
Please take a look at link and attached file, It seems to me they are on topic if I understood your question correctly.
Stability Criteria for Switched and Hybrid Systems
https://www.jstor.org/stable/20454022
Best regards
Sanjoy Roy , 1) I am considering a linear system or a Non-Linear System which has been linearized around a particular operating point.
2) s = 1 - lambda = greater than 2, where lambda is the relative gain of the undecoupled system. Plz check the attached paper for reference.
Biswajit,
In that case you are trying out some very old concepts afresh !
Not very relevant today perhaps (that's just my opinion, of course !), because control concepts themselves are a lot more mature and evolved today !!
Have you checked out total stability concepts, for instance ?
Cheers !
-Sanjay
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