Synthesis of control Lyapunov functions and stabilizing feedback strategies using exit‐time optimal control Part II: Numerical approach

Optimal Control Applications and Methods ◽

10.1002/oca.2733 ◽

2021 ◽

Author(s):

Ivan Yegorov ◽

Peter M. Dower ◽

Lars Grüne

Keyword(s):

Optimal Control ◽

Lyapunov Functions ◽

Exit Time ◽

Numerical Approach ◽

Time Optimal Control ◽

Time Optimal ◽

Feedback Strategies ◽

Control Part

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Synthesis of control Lyapunov functions and stabilizing feedback strategies using exit‐time optimal control Part I: Theory

Optimal Control Applications and Methods ◽

10.1002/oca.2732 ◽

2021 ◽

Cited By ~ 1

Author(s):

Ivan Yegorov ◽

Peter M. Dower ◽

Lars Grüne

Keyword(s):

Optimal Control ◽

Lyapunov Functions ◽

Exit Time ◽

Time Optimal Control ◽

Time Optimal ◽

Feedback Strategies ◽

Control Part

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Global extension of local control Lyapunov functions via exit-time optimal control *

2018 IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2018.8619413 ◽

2018 ◽

Author(s):

Ivan Yegorov ◽

Peter M. Dower ◽

Lars Grune

Keyword(s):

Optimal Control ◽

Local Control ◽

Lyapunov Functions ◽

Exit Time ◽

Time Optimal Control ◽

Time Optimal

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Viscosity Solutions of the Bellman Equation for Exit Time Optimal Control Problems with Vanishing Lagrangians

SIAM Journal on Control and Optimization ◽

10.1137/s0363012900368594 ◽

2002 ◽

Vol 40 (5) ◽

pp. 1358-1383 ◽

Cited By ~ 11

Author(s):

Michael Malisoff

Keyword(s):

Optimal Control ◽

Viscosity Solutions ◽

Bellman Equation ◽

Optimal Control Problems ◽

Exit Time ◽

Time Optimal Control ◽

Control Problems ◽

Time Optimal

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The value functions of singularly perturbed time-optimal control problems in the framework of Lyapunov functions method

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2006.11.004 ◽

2007 ◽

Vol 45 (11-12) ◽

pp. 1284-1293 ◽

Cited By ~ 2

Author(s):

N.N. Subbotina

Keyword(s):

Optimal Control ◽

Lyapunov Functions ◽

Optimal Control Problems ◽

Time Optimal Control ◽

Singularly Perturbed ◽

Control Problems ◽

Value Functions ◽

Time Optimal ◽

Lyapunov Functions Method

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The value function of an asymptotic exit-time optimal control problem

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-014-0274-1 ◽

2014 ◽

Vol 22 (1) ◽

pp. 21-44 ◽

Cited By ~ 3

Author(s):

M. Motta ◽

C. Sartori

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Value Function ◽

Exit Time ◽

Time Optimal Control ◽

Time Optimal ◽

Time Optimal Control Problem ◽

The Value Function

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Further results on the Bellman equation for exit time optimal control problems with nonnegative Lagrangians: the case of Fuller's problem

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) ◽

10.1109/cdc.2000.914142 ◽

2002 ◽

Author(s):

H.J. Sussmann ◽

M.A. Malisoff

Keyword(s):

Optimal Control ◽

Bellman Equation ◽

Optimal Control Problems ◽

Exit Time ◽

Time Optimal Control ◽

Control Problems ◽

Time Optimal

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Viscosity Solutions of the Bellman Equation for Exit Time Optimal Control Problems with Non-Lipschitz Dynamics

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2001116 ◽

2001 ◽

Vol 6 ◽

pp. 415-441 ◽

Cited By ~ 7

Author(s):

Michael Malisoff

Keyword(s):

Optimal Control ◽

Viscosity Solutions ◽

Bellman Equation ◽

Optimal Control Problems ◽

Exit Time ◽

Time Optimal Control ◽

Control Problems ◽

Time Optimal

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Numerical Approach for Solving Time and Robust Time Optimal Control Problems

i-manager’s Journal on Mechanical Engineering ◽

10.26634/jme.4.1.2574 ◽

2014 ◽

Vol 4 (1) ◽

pp. 1-9

Author(s):

Mohammad Amin Rashidifar ◽

◽

Ali Amin Rashidifar ◽

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Numerical Approach ◽

Time Optimal Control ◽

Control Problems ◽

Time Optimal

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A numerical approach for time-optimal control of double arms robot

Proceedings of International Conference on Control Applications ◽

10.1109/cca.1995.555919 ◽

2002 ◽

Cited By ~ 1

Author(s):

R. Fotouhi-C. ◽

W. Szyszkowski

Keyword(s):

Optimal Control ◽

Numerical Approach ◽

Time Optimal Control ◽

Time Optimal

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Continuity of the value function for exit time optimal control problems of hybrid systems

49th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2010.5718054 ◽

2010 ◽

Cited By ~ 1

Author(s):

Matthias Rungger ◽

Olaf Stursberg

Keyword(s):

Optimal Control ◽

Hybrid Systems ◽

Value Function ◽

Optimal Control Problems ◽

Exit Time ◽

Time Optimal Control ◽

Control Problems ◽

Time Optimal ◽

The Value Function

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