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...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Prajna, S, Papachristodoulou, A, Seiler, P, Parrilo, P
Fformat:	Journal article
Iaith:	English
Cyhoeddwyd:	2005

Eitemau Tebyg

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Mylohyoid Bridging of the Mandible and its Clinical Importance in Dry Mandibles: A Cross-sectional Study
gan: Prajna Paramita Samanta, et al.
Cyhoeddwyd: (2023-01-01)

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

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