Linear quadratic optimization for hybrid systems

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304) ◽

10.1109/cdc.1999.831404 ◽

2003 ◽

Cited By ~ 38

Author(s):

P. Riedinger ◽

F. Kratz ◽

C. Iung ◽

C. Zanne

Keyword(s):

Hybrid Systems ◽

Quadratic Optimization ◽

Linear Quadratic

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The Design of Optimal Lateral Motion Control of an UAV Using the Linear-Quadratic Optimization Method in the Complex Domain

International Review of Aerospace Engineering (IREASE) ◽

10.15866/irease.v13i6.19130 ◽

2020 ◽

Vol 13 (6) ◽

pp. 217

Author(s):

Vadim Kramar ◽

Vasiliy Alchakov ◽

Aleksey Kabanov ◽

Sergey Dudnikov ◽

Aleksandr Dmitriev

Keyword(s):

Motion Control ◽

Optimization Method ◽

Quadratic Optimization ◽

Complex Domain ◽

Lateral Motion ◽

Linear Quadratic

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Another look at linear-quadratic optimization problems over time

Systems & Control Letters ◽

10.1016/0167-6911(94)00059-5 ◽

1995 ◽

Vol 25 (2) ◽

pp. 89-97 ◽

Cited By ~ 1

Author(s):

J.W. Nieuwenhuis

Keyword(s):

Optimization Problems ◽

Quadratic Optimization ◽

Linear Quadratic ◽

Over Time

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Constrained Linear Quadratic Optimization

Advanced Optimization for Motion Control Systems ◽

10.1201/9780429325090-2 ◽

2020 ◽

pp. 13-37

Author(s):

Jun Ma ◽

Xiaocong Li ◽

Kok Kiong Tan

Keyword(s):

Quadratic Optimization ◽

Linear Quadratic

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The Linear Quadratic Optimization Problems for a Class of Linear Stochastic Systems With Multiplicative White Noise and Markovian Jumping

IEEE Transactions on Automatic Control ◽

10.1109/tac.2004.826718 ◽

2004 ◽

Vol 49 (5) ◽

pp. 665-675 ◽

Cited By ~ 69

Author(s):

V. Dragan ◽

T. Morozan

Keyword(s):

White Noise ◽

Stochastic Systems ◽

Optimization Problems ◽

Quadratic Optimization ◽

Linear Quadratic ◽

Markovian Jumping ◽

Linear Stochastic Systems ◽

Multiplicative White Noise

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Algorithms for Linear-Quadratic Optimization

10.1201/9781003067450 ◽

2021 ◽

Author(s):

Vasile Sima

Keyword(s):

Quadratic Optimization ◽

Linear Quadratic

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Asymptotic expansions for singularly perturbed differential matrix riccati equations with applications to linear — Quadratic optimization problems

Lecture Notes in Mathematics - Asymptotic Analysis II — ◽

10.1007/bfb0062377 ◽

1983 ◽

pp. 370-399

Author(s):

V. DrĂgan

Keyword(s):

Asymptotic Expansions ◽

Optimization Problems ◽

Riccati Equations ◽

Quadratic Optimization ◽

Singularly Perturbed ◽

Linear Quadratic ◽

Differential Matrix

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The linear quadratic regulator for periodic hybrid systems

Automatica ◽

10.1016/j.automatica.2019.108772 ◽

2020 ◽

Vol 113 ◽

pp. 108772 ◽

Cited By ~ 1

Author(s):

Corrado Possieri ◽

Mario Sassano ◽

Sergio Galeani ◽

Andrew R. Teel

Keyword(s):

Hybrid Systems ◽

Linear Quadratic Regulator ◽

Linear Quadratic

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Quadratically constrained linear-quadratic optimization of linear output feedback: a linear matrix inequalities approach

Proceedings of 1995 34th IEEE Conference on Decision and Control ◽

10.1109/cdc.1995.479151 ◽

2002 ◽

Author(s):

A. Cygankov ◽

A. Megretski

Keyword(s):

Linear Matrix Inequalities ◽

Output Feedback ◽

Quadratic Optimization ◽

Linear Matrix ◽

Matrix Inequalities ◽

Linear Quadratic ◽

Quadratically Constrained

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Synthesis of Automatic Systems with Standard Dynamics on the Basis of Formalism Linear-Quadratic Optimization

2019 International Russian Automation Conference (RusAutoCon) ◽

10.1109/rusautocon.2019.8867718 ◽

2019 ◽

Cited By ~ 1

Author(s):

A.B. Filimonov ◽

N.B. Filimonov

Keyword(s):

Quadratic Optimization ◽

Linear Quadratic ◽

Automatic Systems

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Linear-quadratic optimization and some general hypotheses on optimal control

Mathematical Problems in Engineering ◽

10.1155/s1024123x9900109x ◽

1999 ◽

Vol 5 (4) ◽

pp. 275-289 ◽

Cited By ~ 2

Author(s):

L. I. Rozonoer

Keyword(s):

Optimal Control ◽

Initial Data ◽

Optimization Problem ◽

Sufficient Conditions ◽

Quadratic Optimization ◽

Necessary And Sufficient Conditions ◽

Maximum Condition ◽

Linear Quadratic ◽

Existence Of Optimal Control ◽

Necessary And Sufficient

Necessary and sufficient conditions for existence of optimal control for all initial data are proved forLQ-optimization problem. If these conditions are fulfilled, necessary and sufficient conditions of optimality are formulated. Basing on the results, some general hypotheses on optimal control in terms of Pontryagin's maximum condition and Bellman's equation are proposed.

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