An Algorithm for Constructing Reachable Sets for Systems with Multiple Integral Constraints

Mathematical Analysis With Applications - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-42176-2_6 ◽

2020 ◽

pp. 51-60

Author(s):

I. V. Zykov

Keyword(s):

Multiple Integral ◽

Reachable Sets ◽

Integral Constraints

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On Extremal Properties of the Boundary Points of Reachable Sets for Control Systems with Integral Constraints

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543818020116 ◽

2018 ◽

Vol 300 (S1) ◽

pp. 114-125 ◽

Cited By ~ 6

Author(s):

M. I. Gusev ◽

I. V. Zykov

Keyword(s):

Control Systems ◽

Reachable Sets ◽

Integral Constraints ◽

Boundary Points ◽

Extremal Properties

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On Polyhedral Estimation of Reachable Sets in the “Extended” Space for Discrete-Time Systems with Uncertain Matrices and Integral Constraints

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543821030159 ◽

2021 ◽

Vol 313 (S1) ◽

pp. S140-S154

Author(s):

E. K. Kostousova

Keyword(s):

Discrete Time ◽

Reachable Sets ◽

Integral Constraints ◽

Extended Space ◽

Discrete Time Systems ◽

Time Systems

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Convexity of small-time reachable sets under integral constraints on control

Proceeding of the International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin ◽

10.4213/proc22987 ◽

2018 ◽

Keyword(s):

Small Time ◽

Reachable Sets ◽

Integral Constraints

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On Convexity of Reachable Sets of a Nonlinear System under Integral Constraints

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2018.11.382 ◽

2018 ◽

Vol 51 (32) ◽

pp. 207-212 ◽

Cited By ~ 1

Author(s):

Mikhail I. Gusev

Keyword(s):

Nonlinear System ◽

Reachable Sets ◽

Integral Constraints

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On external estimates of reachable sets of control systems with integral constraints

Izvestiya Instituta Matematiki i Informatiki Udmurt Gos Univ ◽

10.20537/2226-3594-2019-53-06 ◽

2019 ◽

Vol 53 ◽

pp. 61-72

Author(s):

I.V. Zykov ◽

Keyword(s):

Control Systems ◽

Reachable Sets ◽

Integral Constraints

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AN ALGORITHM FOR COMPUTING BOUNDARY POINTS OF REACHABLE SETS OF CONTROL SYSTEMS UNDER INTEGRAL CONSTRAINTS

Ural mathematical journal ◽

10.15826/umj.2017.1.003 ◽

2017 ◽

Vol 3 (1) ◽

pp. 44-51 ◽

Cited By ~ 1

Author(s):

Mikhail I. Gusev

Keyword(s):

Control Systems ◽

Reachable Sets ◽

Integral Constraints ◽

Boundary Points

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Linear Differential Hold-In Games with Integral Constraints

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v32.i10.60 ◽

2000 ◽

Vol 32 (10) ◽

pp. 46-51

Author(s):

Valentin V. Ostapenko ◽

Irina L. Ryzhkova

Keyword(s):

Integral Constraints ◽

Linear Differential

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Computation of Safe and Reachable Sets for Model-Free Dynamical Systems: Aircraft Longitudinal Dynamics

AIAA Atmospheric Flight Mechanics Conference ◽

10.2514/6.2014-0544 ◽

2014 ◽

Author(s):

Pavan Kumar Nuthi ◽

Kamesh Subbarao

Keyword(s):

Dynamical Systems ◽

Reachable Sets ◽

Longitudinal Dynamics ◽

Model Free

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Constructing Reachable Sets for Control Systems of Second Order of Accuracy with Respect to Time Step

Numerical Analysis and Applications ◽

10.1134/s1995423920040023 ◽

2020 ◽

Vol 13 (4) ◽

pp. 306-320

Author(s):

A. A. Ershov

Keyword(s):

Control Systems ◽

Second Order ◽

Reachable Sets ◽

Time Step ◽

Order Of Accuracy

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Polyhedral approximation method for reachable sets of linear delay systems

IET Control Theory and Applications ◽

10.1049/iet-cta.2019.0841 ◽

2020 ◽

Vol 14 (12) ◽

pp. 1548-1556

Author(s):

Renhong Hu ◽

Lizhen Shao ◽

Yuhao Cong

Keyword(s):

Approximation Method ◽

Reachable Sets ◽

Delay Systems ◽

Polyhedral Approximation ◽

Linear Delay

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