Control-Lyapunov function: Difference between revisions

Content deleted Content added
Changed \mathbf{R} to \mathbb{R} and fixed the arg min issue
Example: Changed exp^{...} to \exp\left(...\right)
Line 79:
which is a linear first order differential equation which has solution
:<math>
V=V(0)\exp^{(-\kappa t})
</math>
 
Line 93:
</math>
:<math>
r=r(0)\exp^{\left(-\frac{\kappa}{2} t}\right)
</math>
:<math>
\dot{e}+\alpha e= (\dot{e}(0)+\alpha e(0))\exp^{\left(-\frac{\kappa}{2} t}\right)
</math>
which can then be solved using any linear differential equation methods.