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...

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Xehetasun bibliografikoak
Egile Nagusiak:	Prajna, S, Papachristodoulou, A, Seiler, P, Parrilo, P
Formatua:	Journal article
Hizkuntza:	English
Argitaratua:	2005

Antzeko izenburuak

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

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

SOSTOOLS Version 3.00 Sum of Squares Optimization Toolbox for MATLAB
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Argitaratua: (2013)

Introducing SOSTOOLS: A general purpose sum of squares programming solver
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Model validation and robust stability analysis of the bacterial heat shock response using SOSTOOLS
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Nonlinear control synthesis by sum of squares optimization: A Lyapunov-based approach
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Analysis of non-polynomial systems using the sum of squares decomposition
nork: Papachristodoulou, A, et al.
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Robust Stability Analysis of Nonlinear Hybrid Systems.
nork: Papachristodoulou, A, et al.
Argitaratua: (2009)

Tutorial on sum of squares techniques for systems analysis
nork: Papachristodoulou, A, et al.
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Analysis of switched and hybrid systems - Beyond piecewise quadratic methods
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On the construction of Lyapunov functions using the sum of squares decomposition
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Advanced methods and algorithms for biological networks analysis
nork: El-Samad, H, et al.
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Congestion control and its stability in networks with delay sensitive traffic.
nork: Li, Y, et al.
Argitaratua: (2011)

Stochastic reachability analysis in complex biological networks
nork: El-Samad, H, et al.
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An optimal controller architecture for poset-causal systems
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A poset framework to model decentralized control problems
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Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank
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A distributed PID controller for network congestion control problems
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H[subscript 2]-optimal decentralized control over posets: A state space solution for state-feedback
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H[subscript 2]-Optimal Decentralized Control Over Posets: A State-Space Solution for State-Feedback
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Towards scalable algorithms with formal guarantees for Lyapunov analysis of control systems via algebraic optimization
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Delay Robustness of Nonlinear Internet Congestion Control Schemes.
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Feedback Control and Synthetic Biology: Constraints on Design
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Feedback control design using sum of squares optimisation
nork: August, E, et al.
Argitaratua: (2022)

Structure of extreme correlated equilibria: a zero-sum example and its implications
nork: Parrilo, Pablo A., et al.
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Low-burden biological feedback controllers for near-perfect adaptation
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Convex Design Control for Practical Nonlinear Systems
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Probabilistically safe controllers based on control barrier functions and scenario model predictive control
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Distributed dynamic feedback control for smart power networks with tree topology
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Global stability analysis of primal internet congestion control schemes with heterogeneous delays
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Controller Synthesis for Stochastic Systems with Persistent Noise via Semi-definite Programming
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A real-time control framework for smart power networks: Design methodology and stability
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Nonlinear Control of Large Scale complex Systems using Convex Control Design tools
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Why random reshuffling beats stochastic gradient descent
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Bayesian nonparametrics and feedback-linearisation of discretised control-affine systems
nork: Calliess, J, et al.
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Adaptation and control circuits in bacterial chemotaxis
nork: Roberts, MAJ, et al.
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Adaptation and control circuits in bacterial chemotaxis.
nork: Roberts, M, et al.
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Mylohyoid Bridging of the Mandible and its Clinical Importance in Dry Mandibles: A Cross-sectional Study
nork: Prajna Paramita Samanta, et al.
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Safety Verification of Controlled Advanced Life Support System Using Barrier Certificates.
nork: Glavaski, S, et al.
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A Real-time Control Framework for Smart Power Networks with Star Topology
nork: Zhang, X, et al.
Argitaratua: (2013)