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Lyapunov function of a fourth-order system

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1 Author(s)
Ku, Y. ; Uni. of Pennsylvania, Philadelphia, PA, USA

The Lyapunov function V and its time derivative \dot{V} are expressed in matrix form by x'Sx and x'Tx , respectively, where S and T contain elements which involve the state variables, and x' is the transpose of x . A given fourth-order nonlinear system is characterized by \dot{x}=A(x)x , where A(x) contains nonlinear elements. Simanov's problem is extended to a fourth-order system whose nonlinearity is a constrained function of two state variables.

Published in:

Automatic Control, IEEE Transactions on  (Volume:9 ,  Issue: 3 )