Explained sum of squares

Augmenting locomotor perception by remapping tactile foot sensation to the back

Olaf Blanke, Mohamed Bouri, Oliver Alan Kannape, Atena Fadaeijouybari, Selim Jean Habiby Alaoui, Nathanaël Yvon Ferraroli-Tissot-Daguette

Background :Sensory reafferents are crucial to correct our posture and movements, both reflexively and in a cognitively driven manner. They are also integral to developing and maintaining a sense of agency for our actions. In cases of compromised reafferen ...

BioMed Central2024

Assessment of water resource contamination by pesticides in vegetable-producing areas in Burkina Faso

Luiz Felippe De Alencastro, Edouard René Gilbert Lehmann

This study proposes a comprehensive approach to investigate water resource contamination by pesticides under the specific climatic and hydrological conditions of the Sudano-Sahelian climate. Samples were collected from tradi- tional wells, boreholes, and a ...

2018

Y Stability and performance verification of optimization-based controllers

Colin Neil Jones, Milan Korda

This paper presents a method to verify closed-loop properties of optimization-based controllers for deterministic and stochastic constrained polynomial discrete-time dynamical systems. The closed-loop properties amenable to the proposed technique include g ...

Pergamon-Elsevier Science Ltd2017

Technical Report: Control of Nonlinear Systems with Explicit-MPC-like Controllers

Colin Neil Jones, Milan Korda, Ivan Pejcic

This paper describes synthesis of controllers involving Quadratic Programming (QP) optimization problems for control of nonlinear systems. The QP structure allows an implementation of the controller as a piecewise affine function, pre-computed offline, whi ...

2017

Controller design and value function approximation for nonlinear dynamical systems

Colin Neil Jones, Milan Korda

This work considers the infinite-time discounted optimal control problem for continuous time input-affine polynomial dynamical systems subject to polynomial state and box input constraints. We propose a sequence of sum-of-squares (SOS) approximations of th ...

Pergamon-Elsevier Science Ltd2016

Convex computation of the maximum controlled invariant set for polynomial control systems

Colin Neil Jones, Milan Korda

We characterize the maximum controlled invariant (MCI) set for discrete- as well as continuous-time nonlinear dynamical systems as the solution of an infinite-dimensional linear programming problem. For systems with polynomial dynamics and compact semialge ...

Society for Industrial and Applied Mathematics2014

An application of Evolutionary Optimization Algorithms for Determining Concentration and Velocity Profiles in Sheet flows and Overlying Layers

David Andrew Barry, Roham Bakhtyar

The Particle Swarm Optimization (PSO) method and the Genetic Algorithm (GA) were used to derive formulas for determining the velocity and concentration profiles in sheet flows. Specifically, these evolutionary optimization algorithms were used in conjuncti ...

Asme-Amer Soc Mechanical Eng2012