## Quadratic Stabilization and Control of Piecewise-Linear Systems (1998)

Venue: | In Proc. American Control Conf |

Citations: | 20 - 3 self |

### BibTeX

@INPROCEEDINGS{Hassibi98quadraticstabilization,

author = {Arash Hassibi and Stephen Boyd},

title = {Quadratic Stabilization and Control of Piecewise-Linear Systems},

booktitle = {In Proc. American Control Conf},

year = {1998},

pages = {3659--3664}

}

### Years of Citing Articles

### OpenURL

### Abstract

We consider analysis and controller synthesis of piecewise-linear systems. The method is based on constructing quadratic and piecewise-quadratic Lyapunov functions that prove stability and performance for the system. It is shown that proving stability and performance, or designing (state-feedback) controllers, can be cast as convex optimization problems involving linear matrix inequalities that can be solved very e ciently. A couple of simple examples are included to demonstrate applications of the methods described. Key words: Piecewise-linear systems, quadratic stabilization, linear matrix inequality (LMI). 1

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