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# Structured and Simultaneous Lyapunov Functions for System Stability Problems

@inproceedings{Boyd1989StructuredAS, title={Structured and Simultaneous Lyapunov Functions for System Stability Problems}, author={Stephen Boyd and Qinping Yang}, year={1989} }

- Published 1989

It is shown that many system stability and robustness problems can be reduced to the question of when there is a quadratic Lyapunov function of a certain structure which establishes stability of ẋ = Ax for some appropriate A. The existence of such a Lyapunov function can be determined by solving a convex program. We present several numerical methods for these optimization problems. A simple numerical example is given. 1 Notation and preliminaries IR (IR+) will denote the set of real numbers… CONTINUE READING

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