Nonsmooth optimization over the (weakly or properly) Pareto set of a linear-quadratic multi-objective control problem: Explicit optimality conditions
We present explicit optimality conditions for a nonsmooth functional dened over the (properly or weakly) Pareto set associated with a multiobjective linear-quadratic control problem. This problem is very dicult even in anite dimensional setting, i.e. when, instead of a control problem, we deal with...
| Main Authors: | Bonnel, Henri, Pham, N. |
|---|---|
| Format: | Journal Article |
| Published: |
2011
|
| Online Access: | http://hdl.handle.net/20.500.11937/16786 |
Similar Items
Stochastic Optimization over a Pareto Set Associated with a Stochastic Multi-Objective Optimization Problem
by: Bonnel, Henri, et al.
Published: (2014)
by: Bonnel, Henri, et al.
Published: (2014)
Optimization over the Pareto outcome set associated with a convex bi-objective optimization problem: theoretical results, deterministic algorithm and application to the stochastic case
by: Bonnel, Henri, et al.
Published: (2014)
by: Bonnel, Henri, et al.
Published: (2014)
Optimization Over the Efficient Set of Multi-objective Convex Optimal Control Problems
by: Bonnel, Henri, et al.
Published: (2010)
by: Bonnel, Henri, et al.
Published: (2010)
Post-Pareto Analysis for multiobjective parabolic control systems
by: Bonnel, Henri
Published: (2013)
by: Bonnel, Henri
Published: (2013)
Application of pareto optimality to linear models with errors-in-all-variables
by: Palancz, B., et al.
Published: (2011)
by: Palancz, B., et al.
Published: (2011)
Gradient-free method for nonsmooth distributed optimization
by: Li, J., et al.
Published: (2015)
by: Li, J., et al.
Published: (2015)
A nonsmooth optimization method for clustering problem
by: Shabanzadeh, Parvaneh, et al.
Published: (2009)
by: Shabanzadeh, Parvaneh, et al.
Published: (2009)
Pareto optimality solution of the multi-objective photogrammetric resection-intersection problem
by: Palancz, Bela, et al.
Published: (2013)
by: Palancz, Bela, et al.
Published: (2013)
Incremental gradient-free method for nonsmooth distributed optimization
by: Li, J., et al.
Published: (2017)
by: Li, J., et al.
Published: (2017)
Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems
by: Bonnel, Henri, et al.
Published: (2013)
by: Bonnel, Henri, et al.
Published: (2013)
Generalized Finite-Horizon Linear-Quadratic Optimal Control
by: Ferrante, A., et al.
Published: (2014)
by: Ferrante, A., et al.
Published: (2014)
Linear quadratic optimal control based on dynamic compensation
by: Zhang, G., et al.
Published: (2012)
by: Zhang, G., et al.
Published: (2012)
Linear quadratic optimal control based on dynamic compensation
by: Zhang, G., et al.
Published: (2010)
by: Zhang, G., et al.
Published: (2010)
New results in single linear quadratic optimal control
by: Ferrante, A., et al.
Published: (2012)
by: Ferrante, A., et al.
Published: (2012)
Pareto optimality solution of the Gauss-Helmert model
by: Palancz, B., et al.
Published: (2013)
by: Palancz, B., et al.
Published: (2013)
Pareto-optimal algorithm in bilateral automated negotiation
by: Jazayeriy, Hamid, et al.
Published: (2011)
by: Jazayeriy, Hamid, et al.
Published: (2011)
Semivectorial bilevel convex optimal control problems: Existence results
by: Bonnel, Henri, et al.
Published: (2012)
by: Bonnel, Henri, et al.
Published: (2012)
Linear quadratic optimal control via using dynamic compensator
by: Guoshan, Z., et al.
Published: (2012)
by: Guoshan, Z., et al.
Published: (2012)
Semivectorial Bilevel Optimization on Riemannian Manifolds
by: Bonnel, Henri, et al.
Published: (2015)
by: Bonnel, Henri, et al.
Published: (2015)
Variable metric proximal stochastic variance reduced gradient methods for nonconvex nonsmooth optimization
by: Yu, T., et al.
Published: (2022)
by: Yu, T., et al.
Published: (2022)
Numerical method for a class of optimal control problems subject to nonsmooth functional constraints
by: Wu, C., et al.
Published: (2008)
by: Wu, C., et al.
Published: (2008)
Humanoid full-body motion generation based on human gait using evolutionary pareto multi-objective optimization
by: Ghotoorlar, Saied Mokaram
Published: (2012)
by: Ghotoorlar, Saied Mokaram
Published: (2012)
Humanoid full-body motion generation based on human gait using evolutionary pareto multi-objective optimization
by: Ghotoorlar, Saied Mokaram
Published: (2012)
by: Ghotoorlar, Saied Mokaram
Published: (2012)
Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization
by: Wang, L., et al.
Published: (2010)
by: Wang, L., et al.
Published: (2010)
Clusters in nonsmooth oscillator networks
by: Nicks, Rachel, et al.
Published: (2018)
by: Nicks, Rachel, et al.
Published: (2018)
Robust Optimal Control of Continuous Linear Quadratic System Subject to Disturbances
by: Wu, Changzhi, et al.
Published: (2014)
by: Wu, Changzhi, et al.
Published: (2014)
The generalised discrete algebraic Riccati equation in linear-quadratic optimal control
by: Ferrante, A., et al.
Published: (2013)
by: Ferrante, A., et al.
Published: (2013)
Optimization of PID controller for flexible link system using a pareto-based multi-objective differential (PMODE) evolution
by: Tijani, I. B., et al.
Published: (2011)
by: Tijani, I. B., et al.
Published: (2011)
Optimizing of PID controller for flexible link system using a Pareto-based Multi-objective differential (PMODE) evolution
by: Tijani, Ismaila, et al.
Published: (2011)
by: Tijani, Ismaila, et al.
Published: (2011)
Optimal Linear Quadratic Gaussian Torque Controller (LQG) for upper limb rehabilitation
by: Ahmed Mounis, Shawgi Younis, et al.
Published: (2020)
by: Ahmed Mounis, Shawgi Younis, et al.
Published: (2020)
A unified approach to the finite-horizon linear quadratic optimal control problem
by: Ferrante, A., et al.
Published: (2007)
by: Ferrante, A., et al.
Published: (2007)
Nonsmooth dynamics in spiking neuron models
by: Coombes, Stephen, et al.
Published: (2012)
by: Coombes, Stephen, et al.
Published: (2012)
Characterizations of Nonsmooth Robustly Quasiconvex Functions
by: Bui, Hoa, et al.
Published: (2019)
by: Bui, Hoa, et al.
Published: (2019)
Optimal control using Pontryagins maximum principle in a linear quadratic differential game.
by: Khakestari, Marzieh, et al.
Published: (2012)
by: Khakestari, Marzieh, et al.
Published: (2012)
A reduction technique for generalised Riccati difference equations arising in linear-quadratic optimal control
by: Ferrante, A., et al.
Published: (2012)
by: Ferrante, A., et al.
Published: (2012)
Performance evaluation of linear quadratic regulator and linear quadratic Gaussian controllers on quadrotor platform
by: Islam, Maidul, et al.
Published: (2019)
by: Islam, Maidul, et al.
Published: (2019)
Evaluation performance of linear quadratic regulator and linear quadratic gaussian controllers on quadrotor platform
by: Okasha, Mohamed Elsayed Aly Abd Elaziz, et al.
Published: (2018)
by: Okasha, Mohamed Elsayed Aly Abd Elaziz, et al.
Published: (2018)
Pareto Optimality Concept for Incorporating Prior Knowledge for System Identification Problem with Insufficient Samples
by: Mohd Ibrahim, Shapiai, et al.
Published: (2017)
by: Mohd Ibrahim, Shapiai, et al.
Published: (2017)
On linearization of quadratic stochastic operators
by: Ganikhodjaev, Nasir, et al.
Published: (2009)
by: Ganikhodjaev, Nasir, et al.
Published: (2009)
On linearization of quadratic stochastic operators
by: Ganikhodjaev, Nasir, et al.
Published: (2011)
by: Ganikhodjaev, Nasir, et al.
Published: (2011)
Similar Items
-
Stochastic Optimization over a Pareto Set Associated with a Stochastic Multi-Objective Optimization Problem
by: Bonnel, Henri, et al.
Published: (2014) -
Optimization over the Pareto outcome set associated with a convex bi-objective optimization problem: theoretical results, deterministic algorithm and application to the stochastic case
by: Bonnel, Henri, et al.
Published: (2014) -
Optimization Over the Efficient Set of Multi-objective Convex Optimal Control Problems
by: Bonnel, Henri, et al.
Published: (2010) -
Post-Pareto Analysis for multiobjective parabolic control systems
by: Bonnel, Henri
Published: (2013) -
Application of pareto optimality to linear models with errors-in-all-variables
by: Palancz, B., et al.
Published: (2011)