A transition matrix method for generating near-optimal closed-loop solutions to non-linear zero-sum differential games†

GERALD M. ANDERSON

doi:10.1080/00207727608941938

A transition matrix method for generating near-optimal closed-loop solutions to non-linear zero-sum differential games†

International Journal of Systems Science ◽

10.1080/00207727608941938 ◽

1976 ◽

Vol 7 (5) ◽

pp. 529-543 ◽

Cited By ~ 7

Author(s):

GERALD M. ANDERSON

Keyword(s):

Differential Games ◽

Matrix Method ◽

Transition Matrix ◽

Closed Loop ◽

Non Linear ◽

Zero Sum

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A closed-loop saddle point for zero-sum linear-quadratic stochastic differential games with mean-field type

Systems & Control Letters ◽

10.1016/j.sysconle.2020.104624 ◽

2020 ◽

Vol 136 ◽

pp. 104624 ◽

Cited By ~ 2

Author(s):

Ran Tian ◽

Zhiyong Yu ◽

Rucheng Zhang

Keyword(s):

Saddle Point ◽

Differential Games ◽

Closed Loop ◽

Mean Field ◽

Stochastic Differential Games ◽

Linear Quadratic ◽

Field Type ◽

Zero Sum

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State transformations and the derivation of Nash closed-loop equilibria for non-zero-sum differential games

Applied Mathematical Modelling ◽

10.1016/0307-904x(85)90023-x ◽

1985 ◽

Vol 9 (5) ◽

pp. 353-357

Author(s):

A Mehlmann

Keyword(s):

Differential Games ◽

Closed Loop ◽

Zero Sum

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A near-optimal closed-loop solution method for nonsingular zero-sum differential games

Journal of Optimization Theory and Applications ◽

10.1007/bf00934867 ◽

1974 ◽

Vol 13 (3) ◽

pp. 303-318 ◽

Cited By ~ 24

Author(s):

G. M. Anderson

Keyword(s):

Differential Games ◽

Closed Loop ◽

Solution Method ◽

Zero Sum

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Zero-sum differential games-based fast adaptive robust optimal sliding mode control design for uncertain missile autopilot with constrained-input

International Journal of Control ◽

10.1080/00207179.2021.1872802 ◽

2021 ◽

pp. 1-26

Author(s):

Yuxin Gao ◽

Chunsheng Liu ◽

Sen Jiang ◽

Shaojie Zhang

Keyword(s):

Sliding Mode Control ◽

Differential Games ◽

Sliding Mode ◽

Control Design ◽

Mode Control ◽

Zero Sum ◽

Constrained Input

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Electromagnetic characterization of strong-coupled Omega-type bianisotropic metamaterials using the state transition matrix method

Waves in Random and Complex Media ◽

10.1080/17455030.2021.1950946 ◽

2021 ◽

pp. 1-19

Author(s):

Ugur Cem Hasar ◽

Gokhan Ozturk ◽

Mehmet Ertugul ◽

Joaquim José Barroso ◽

Omar M. Ramahi

Keyword(s):

Matrix Method ◽

Transition Matrix ◽

State Transition ◽

The State ◽

State Transition Matrix

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Bias and Overtaking Equilibria for Zero-Sum Stochastic Differential Games

Journal of Optimization Theory and Applications ◽

10.1007/s10957-011-9974-4 ◽

2011 ◽

Vol 153 (3) ◽

pp. 662-687 ◽

Cited By ~ 8

Author(s):

Beatris Escobedo-Trujillo ◽

Daniel López-Barrientos ◽

Onésimo Hernández-Lerma

Keyword(s):

Differential Games ◽

Stochastic Differential Games ◽

Zero Sum

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Non-linear limited-feedback precoding for ICI reduction in closed-loop multiple-antenna OFDM systems

GLOBECOM '05. IEEE Global Telecommunications Conference, 2005. ◽

10.1109/glocom.2005.1578325 ◽

2005 ◽

Cited By ~ 1

Author(s):

Yu Fu ◽

C. Tellambura ◽

W.A. Krzymien

Keyword(s):

Closed Loop ◽

Limited Feedback ◽

Multiple Antenna ◽

Ofdm Systems ◽

Non Linear

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Backward equations, stochastic control and zero-sum stochastic differential games

Stochastics and Stochastics Reports ◽

10.1080/17442509508834006 ◽

1995 ◽

Vol 54 (3-4) ◽

pp. 221-231 ◽

Cited By ~ 66

Author(s):

S. Hamadene ◽

J.P. Lepeltier

Keyword(s):

Differential Games ◽

Stochastic Control ◽

Stochastic Differential Games ◽

Zero Sum

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Linear versus non-linear measures of temporal variability in finger tapping and their relation to performance on open- versus closed-loop motor tasks: Comparing standard deviations to Lyapunov exponents

Laterality Asymmetries of Body Brain and Cognition ◽

10.1080/13576500701865210 ◽

2008 ◽

Vol 13 (3) ◽

pp. 255-281 ◽

Cited By ~ 1

Author(s):

Stephen D. Christman ◽

Ryan Weaver

Keyword(s):

Lyapunov Exponents ◽

Temporal Variability ◽

Closed Loop ◽

Finger Tapping ◽

Motor Tasks ◽

Non Linear ◽

Standard Deviations ◽

Open Versus

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Approximate-optimal control algorithm for constrained zero-sum differential games through event-triggering mechanism

Nonlinear Dynamics ◽

10.1007/s11071-018-4713-0 ◽

2018 ◽

Vol 95 (4) ◽

pp. 2639-2657 ◽

Cited By ~ 6

Author(s):

Chaoxu Mu ◽

Ke Wang

Keyword(s):

Optimal Control ◽

Differential Games ◽

Control Algorithm ◽

Triggering Mechanism ◽

Event Triggering ◽

Zero Sum

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