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- J. Lofberg, P.A. Parrilo
- 2004 43rd IEEE Conference on Decision and Controlâ€¦
- 2004

We introduce a new methodology for the numerical solution of semidefinite relaxations arising from the sum of squares (SOS) decomposition of multivariate polynomials. The method is based on a novelâ€¦ (More)

- P.A. Parrilo
- Proceedings of the 45th IEEE Conference onâ€¦
- 2006

We study two-person zero-sum games, where the payoff function is a polynomial expression in the actions of the players. This class of games was introduced by Dresher, Karlin, and Shapley in 1950. Weâ€¦ (More)

- Stephen Prajna, Antonis Papachristodoulou, Peter Seiler, P.A. Parrilo
- Proceedings of the 2004 American Controlâ€¦
- 2004

We describe the latest additions to SOSTOOLS, a freely available MATLAB toolbox for formulating and solving sum of squares programs. Among the many improvements, there are native polynomial objects,â€¦ (More)

- Priyanka R. Shah, P.A. Parrilo
- 2008 46th Annual Allerton Conference onâ€¦
- 2008

In this paper, we consider a class of spatially distributed systems which have a special property known as spatial invariance. It is well-known that for such problems, the problem of designingâ€¦ (More)

- Stephen Prajna, Antonis Papachristodoulou, Peter Seiler, P.A. Parrilo
- 2004 IEEE International Conference on Roboticsâ€¦
- 2004

SOSTOOLS is a free, third party MATLAB tool box for solving sum of squares programs. The techniques behind it are based on the sum of squares decomposition for multivariate polynomials. In this paperâ€¦ (More)

- I.A. Fotiou, P.A. Parrilo, Manfred Morari
- Proceedings of the 44th IEEE Conference onâ€¦
- 2005

In this paper, a new method is presented for optimization of parametric families of polynomial functions subject to polynomial constraints. The method is based on cylindrical algebraic decompositionâ€¦ (More)

- Elizabeth Aylward, P.A. Parrilo, J. J. Slotine
- 2006 American Control Conference
- 2006

Contraction analysis is a stability theory for nonlinear systems where stability is defined incrementally between two arbitrary trajectories. It provides an alternative framework in which to studyâ€¦ (More)

- P.A. Parrilo
- Proceedings of the 2004 American Controlâ€¦
- 2004

In this talk we present a tutorial introduction to sum of squares (SOS) techniques which can be written as semidefinite programs (SDP) or quadratic form in a set of monomials with the correspondingâ€¦ (More)

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