Mod-01 Lec-01 Introduction

[@gustavoreche597]

I love Indians!! I want to live in India!!!

[@abhinavt789]

Thank you for these lectures. Around 9:30, Prof says the output of a linear system is zero when the input is a zero function, but proceeds to prove it by considering alpha = 0and not u=0. It is not clear how it follows that the zero function will result in a zero output. Edit: Never mind. I got it. Any zero function can be expressed as alpha times a non-zero u(t) where alpha=0. By the definition of linearity this will produce a zero output.

[@nirajaltekar400]

Excellent introductory explanation of stability of equilibrium points. Thanks

[@EngBandar1]

At 23:31, you said "in case multiple equilibrium points", linear systems has a single equilibrium point at the origin. What do you mean by multiple equilibrium points for linear systems? Any clarifications? thanks.

[@EngBandar1]

That is not true. The linear system must satisfy superposition and homogeneity properties. Even a straight line equation that doesn't pass through the origin is not considered as a linear system.

[@shanshanbond7040]

great lecture. got it right how i wanted to understand this

[@To_the_right_side]

thunk very much professor from algeria

[@nafizgt9761]

when x=4, 3x-2, 14 or 10?

[@nurisezer93]

1 billion

[@tanajimalusaray]

What are we perturbing ? Why were worry about equilibrium point ? Why are we doing this analysis ?

[@rejathsimon9001]

tanjimlusary The differential equation practically represents a system(eg: a car, robot,etc) and perturbances are unwanted disturbaces acting on the system(eg: air wind acting on a quadcopter, etc).... You can probably try to relate these into real world and I guess that is the best way to learn control

[@federicocelletti4393]

12-2=10 not 14. But good video anyway.

[@ravikhandelwal2996]

At this stage, pointing out such mistake is not good. If you have technical doubt..then point it out...