Videos

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Sparse Sum-of-squares Certificates on Finite Abelian Groups Thumbnail

Sparse Sum-of-squares Certificates on Finite Abelian Groups

Presenter
  • Pablo Parrilo
May 18, 2015
IMA
Synthesis: linear quadratic control (LQR), H2 and Hinf optimal control, extensions to nonlinear/decentralized. Thumbnail

Synthesis: linear quadratic control (LQR), H2 and Hinf optimal control, extensions to nonlinear/decentralized.

Presenter
  • Pablo Parrilo
May 31, 2014
IMA
System analysis via integral quadratic constraints (IQCs). Sector and Popov IQCs. Analysis of optimization methods. Thumbnail

System analysis via integral quadratic constraints (IQCs). Sector and Popov IQCs. Analysis of optimization methods.

Presenter
  • Pablo Parrilo
May 30, 2014
IMA
Finding Lyapunov functions via convex optimization. Frequency domain descriptions. Kalman-Yakubovich-Popov lemma, Lyapunov proof of gradient methods. Thumbnail

Finding Lyapunov functions via convex optimization. Frequency domain descriptions. Kalman-Yakubovich-Popov lemma, Lyapunov proof of gradient methods.

Presenter
  • Pablo Parrilo
May 29, 2014
IMA
Homework Problems Thumbnail

Homework Problems

Presenters
  • Pablo Parrilo
  • Ben Recht
May 29, 2014
IMA
Lyapunov equations and inequalities. Duality in convex optimization and systems theory. Linear matrix inequalities (LMIs). S-Procedure and applications (ellipsoid containment, etc.). Thumbnail

Lyapunov equations and inequalities. Duality in convex optimization and systems theory. Linear matrix inequalities (LMIs). S-Procedure and applications (ellipsoid containment, etc.).

Presenter
  • Pablo Parrilo
May 28, 2014
IMA
Introduction to dynamical systems. Linear dynamics, stability, Lyapunov functions, eigenvalue conditions. Thumbnail

Introduction to dynamical systems. Linear dynamics, stability, Lyapunov functions, eigenvalue conditions.

Presenter
  • Pablo Parrilo
May 27, 2014
IMA
Week 1: Optimization and Control: a Convex Perspective Thumbnail

Week 1: Optimization and Control: a Convex Perspective

Presenters
  • Pablo Parrilo
  • Ben Recht
May 27, 2014
IMA
Dynamics in Near-Potential Games Thumbnail

Dynamics in Near-Potential Games

Presenter
  • Pablo Parrilo
October 29, 2013
IMA
From the stable set problem to convex algebraic geometry Thumbnail

From the stable set problem to convex algebraic geometry

Presenter
  • Pablo Parrilo
November 21, 2008
IMA
Sums of Squares of Polynomials and SOSTOOLS Thumbnail

Sums of Squares of Polynomials and SOSTOOLS

Presenter
  • Pablo Parrilo
October 26, 2006
IMA
Incremental Methods for Additive Convex Cost Optimization Thumbnail

Incremental Methods for Additive Convex Cost Optimization

Presenter
  • Asuman Ozdaglar
March 8, 2016
IMA