Dynamic systems and control : Balance and stability

Balance and stability
Dynamic systems and control

Authors : Jean LÉVINE, Pierre ROUCHON

Review date: May 30, 2018 | Lire en français

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6. Balance and stability

6.1 Stability in the Lyapunov sense

Consider the open-loop system $\frac{d}{d t} x = f (x, u, w)$ . A steady state $(\bar{x}, \bar{u}, \bar{w})$ , or equilibrium point, is characterized by $f ($

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Balance and stability

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page Unsteady linear systems

Balance point bifurcation

Bibliography

File references

(1) - ABRAHAM (R.H.), SHAW (C.D.) - Dynamics – The Geometry of Behavior : I-IV. - Aerial Press, Santa Cruz, California (1981).
(2) - ABRAMOWITZ (M.), STEGUN (I.A.) - Handbook of Mathematical Functions. - Dover, New York (1965).
(3)...

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Balance and stability Dynamic systems and control

6. Balance and stability

6.1 Stability in the Lyapunov sense

Bibliography

File references

Balance and stability
Dynamic systems and control