Lyapunov function of a fourth-order system
- 1 July 1964
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 9 (3) , 276-278
- https://doi.org/10.1109/tac.1964.1105704
Abstract
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.Keywords
This publication has 2 references indexed in Scilit:
- Theorie und Anwendung der direkten Methode von LjapunovPublished by Springer Nature ,1959
- ON THE STABILITY OF SOLUTIONS OF CERTAIN DIFFERENTIAL EQUATIONS OF THE FOURTH ORDERThe Quarterly Journal of Mechanics and Applied Mathematics, 1956