The exact solution of multiparametric quadratically constrained quadratic programming problems
From MaRDI portal
Publication:2022221
DOI10.1007/s10898-020-00933-9OpenAlexW3044764769MaRDI QIDQ2022221
Nikolaos A. Diangelakis, Iosif Pappas, Efstratios N. Pistikopoulos
Publication date: 28 April 2021
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-020-00933-9
global optimizationquadratically constrained quadratic programmingmultiparametric programmingflexibility analysis
Sensitivity, stability, well-posedness (49K40) Nonconvex programming, global optimization (90C26) Quadratic programming (90C20) Sensitivity, stability, parametric optimization (90C31)
Related Items
Approximate two‐loop robust nonlinear model predictive control with real‐time execution and closed‐loop guarantee, On solving parametric multiobjective quadratic programs with parameters in general locations, A novel approach for solving multi-parametric problems with nonlinear constraints
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the global solution of multi-parametric mixed integer linear programming problems
- A parametric branch and bound approach to suboptimal explicit hybrid MPC
- An improved algorithm for combinatorial multi-parametric quadratic programming
- Explicit model predictive control: a connected-graph approach
- Geometric algorithm for multiparametric linear programming
- A novel approach to multiparametric quadratic programming
- A new algorithm for solving convex parametric quadratic programs based on graphical derivatives of solution mappings
- Semidefinite relaxations for quadratically constrained quadratic programming: A review and comparisons
- Convexity and concavity properties of the optimal value function in parametric nonlinear programming
- Introduction to sensitivity and stability analysis in nonlinear programming
- Global optimization of multi-parametric MILP problems
- An algorithm for approximate multiparametric convex programming
- On the facet-to-facet property of solutions to convex parametric quadratic programs
- A parametric programming approach to moving-horizon state estimation
- Explicit hybrid model-predictive control: the exact solution
- Enumeration-based approach to solving parametric linear complementarity problems
- Parametric mixed-integer 0-1 linear programming: The general case for a single parameter
- Semidefinite programming versus the reformulation-linearization technique for nonconvex quadratically constrained quadratic programming
- Polyhedral functions and multiparametric linear programming
- Quadratic programming with one negative eigenvalue is NP-hard
- A simplicial branch-and-bound method for solving nonconvex all-quadratic programs
- Approximate explicit receding horizon control of constrained nonlinear systems.
- An algorithm for approximate multiparametric linear programming
- Packing equal circles in a square: A deterministic global optimization approach
- An improved multi-parametric programming algorithm for flux balance analysis of metabolic networks
- Global optimization issues in multiparametric continuous and mixed-integer optimization problems
- A polyhedral branch-and-cut approach to global optimization
- A simplicial branch-and-bound algorithm for solving quadratically constrained quadratic programs
- Set invariance in control
- An algorithm for multi-parametric quadratic programming and explicit MPC solutions
- A relaxation method for nonconvex quadratically constrained quadratic programs
- ANTIGONE: algorithms for coNTinuous/Integer global optimization of nonlinear equations
- A branch and bound method for the solution of multiparametric mixed integer linear programming problems
- ARGONAUT: algorithms for global optimization of constrained grey-box computational problems
- Multi-parametric global optimization approach for tri-level mixed-integer linear optimization problems
- Moving horizon estimation: error dynamics and bounding error sets for robust control
- Lexicographic perturbation for multiparametric linear programming with applications to control
- A finite branch-and-bound algorithm for nonconvex quadratic programming via semidefinite relaxations
- The Fritz John necessary optimality conditions in the presence of equality and inequality constraints
- Sensitivity and stability analysis for nonlinear programming
- A Multiparametric Quadratic Programming Algorithm With Polyhedral Computations Based on Nonnegative Least Squares
- Bifurcation problems in nonlinear parametric programming
- Rim Multiparametric Linear Programming
- Linear Multiparametric Programming by Multicriteria Simplex Method
- Sensitivity analysis for nonlinear programming using penalty methods
- Combinatorial Approach Toward Multiparametric Quadratic Programming Based on Characterizing Adjacent Critical Regions
- Computational Aspects of Approximate Explicit Nonlinear Model Predictive Control
- Towards the Design of Parametric Model Predictive Controllers for Non-linear Constrained Systems
- Model predictive control based on linear programming - the explicit solution
- Formulation of Closed-Loop Min–Max MPC as a Quadratically Constrained Quadratic Program
- Parametric optimization and optimal control using algebraic geometry methods
- Multiparametric Linear Programming
- An algorithm for the solution of multiparametric mixed integer linear programming problems
- The explicit linear quadratic regulator for constrained systems
