SOSTOOLS and its control applications

SOSTOOLS and its control applications

In this chapter we present SOSTOOLS, a third-party MATLAB toolbox for formulating and solving sum of squares optimization problems. Sum of squares optimization forms a basis for formulating convex relaxations to computationally hard problems such as some that appear in systems and control. Currently...

Bibliográfalaš dieđut
Váldodahkkit:	Prajna, S, Papachristodoulou, A, Seiler, P, Parrilo, P
Materiálatiipa:	Journal article
Giella:	English
Almmustuhtton:	2005

Geahča maid

SOSTOOLS: Control applications and new developments
Dahkki: Prajna, S, et al.
Almmustuhtton: (2004)

New developments in sum of squares optimization and SOSTOOLS
Dahkki: Prajna, S, et al.
Almmustuhtton: (2004)

SOSTOOLS Version 3.00 Sum of Squares Optimization Toolbox for MATLAB
Dahkki: Papachristodoulou, A, et al.
Almmustuhtton: (2013)

Introducing SOSTOOLS: A general purpose sum of squares programming solver
Dahkki: Prajna, S, et al.
Almmustuhtton: (2002)

Model validation and robust stability analysis of the bacterial heat shock response using SOSTOOLS
Dahkki: El-Samad, H, et al.
Almmustuhtton: (2003)

Nonlinear control synthesis by sum of squares optimization: A Lyapunov-based approach
Dahkki: Prajna, S, et al.
Almmustuhtton: (2004)

Analysis of non-polynomial systems using the sum of squares decomposition
Dahkki: Papachristodoulou, A, et al.
Almmustuhtton: (2005)

Robust Stability Analysis of Nonlinear Hybrid Systems.
Dahkki: Papachristodoulou, A, et al.
Almmustuhtton: (2009)

Tutorial on sum of squares techniques for systems analysis
Dahkki: Papachristodoulou, A, et al.
Almmustuhtton: (2005)

Analysis of switched and hybrid systems - Beyond piecewise quadratic methods
Dahkki: Prajna, S, et al.
Almmustuhtton: (2003)

On the construction of Lyapunov functions using the sum of squares decomposition
Dahkki: Papachristodoulou, A, et al.
Almmustuhtton: (2002)

Advanced methods and algorithms for biological networks analysis
Dahkki: El-Samad, H, et al.
Almmustuhtton: (2006)

Congestion control and its stability in networks with delay sensitive traffic.
Dahkki: Li, Y, et al.
Almmustuhtton: (2011)

Stochastic reachability analysis in complex biological networks
Dahkki: El-Samad, H, et al.
Almmustuhtton: (2006)

An optimal controller architecture for poset-causal systems
Dahkki: Shah, Parikshit, et al.
Almmustuhtton: (2012)

A poset framework to model decentralized control problems
Dahkki: Shah, Parikshit, et al.
Almmustuhtton: (2010)

Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank
Dahkki: Fawzi, Hamza, et al.
Almmustuhtton: (2016)

A distributed PID controller for network congestion control problems
Dahkki: Zhang, X, et al.
Almmustuhtton: (2014)

H[subscript 2]-optimal decentralized control over posets: A state space solution for state-feedback
Dahkki: Shah, Parikshit, et al.
Almmustuhtton: (2012)

H[subscript 2]-Optimal Decentralized Control Over Posets: A State-Space Solution for State-Feedback
Dahkki: Shah, Parikshit, et al.
Almmustuhtton: (2014)

Towards scalable algorithms with formal guarantees for Lyapunov analysis of control systems via algebraic optimization
Dahkki: Ahmadi, Amir Ali, et al.
Almmustuhtton: (2016)

Delay Robustness of Nonlinear Internet Congestion Control Schemes.
Dahkki: Papachristodoulou, A, et al.
Almmustuhtton: (2010)

Feedback Control and Synthetic Biology: Constraints on Design
Dahkki: Steel, H, et al.
Almmustuhtton: (2017)

Feedback control design using sum of squares optimisation
Dahkki: August, E, et al.
Almmustuhtton: (2022)

Structure of extreme correlated equilibria: a zero-sum example and its implications
Dahkki: Parrilo, Pablo A., et al.
Almmustuhtton: (2014)

Low-burden biological feedback controllers for near-perfect adaptation
Dahkki: Steel, H, et al.
Almmustuhtton: (2019)

Probabilistically safe controllers based on control barrier functions and scenario model predictive control
Dahkki: Do Nascimento, A, et al.
Almmustuhtton: (2024)

Convex Design Control for Practical Nonlinear Systems
Dahkki: Baldi, S, et al.
Almmustuhtton: (2014)

Distributed dynamic feedback control for smart power networks with tree topology
Dahkki: Zhang, X, et al.
Almmustuhtton: (2014)

Global stability analysis of primal internet congestion control schemes with heterogeneous delays
Dahkki: Papachristodoulou, A, et al.
Almmustuhtton: (2008)

Controller Synthesis for Stochastic Systems with Persistent Noise via Semi-definite Programming
Dahkki: Ahmadi, M, et al.
Almmustuhtton: (2016)

A real-time control framework for smart power networks: Design methodology and stability
Dahkki: Zhang, X, et al.
Almmustuhtton: (2015)

Why random reshuffling beats stochastic gradient descent
Dahkki: Gürbüzbalaban, M., et al.
Almmustuhtton: (2021)

Nonlinear Control of Large Scale complex Systems using Convex Control Design tools
Dahkki: Kosmatopoulos, E, et al.
Almmustuhtton: (2011)

Bayesian nonparametrics and feedback-linearisation of discretised control-affine systems
Dahkki: Calliess, J, et al.
Almmustuhtton: (2019)

Adaptation and control circuits in bacterial chemotaxis
Dahkki: Roberts, MAJ, et al.
Almmustuhtton: (2010)

Adaptation and control circuits in bacterial chemotaxis.
Dahkki: Roberts, M, et al.
Almmustuhtton: (2010)

Safety Verification of Controlled Advanced Life Support System Using Barrier Certificates.
Dahkki: Glavaski, S, et al.
Almmustuhtton: (2005)

A Real-time Control Framework for Smart Power Networks with Star Topology
Dahkki: Zhang, X, et al.
Almmustuhtton: (2013)

Block factor-width-two matrices and their applications to semidefinite and sum-of-squares optimization
Dahkki: Zheng, Y, et al.
Almmustuhtton: (2022)