Robust Incentive Stackelberg Control of Markov Jump Systems under Myopic Attacks
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This capsule provides the MATLAB code used to reproduce the numerical example in the associated article. It considers a three-mode discrete-time Markov jump system with partially unknown transition probabilities and myopic attacks entering through the control channel. The code numerically solves the coupled KKT residual equations for the robust target gain pair, constructs the mode-dependent incentive gains, and verifies the sufficient inducement conditions. It also evaluates the certified long-term cost bounds, computes exact costs for all vertex TPMs and selected interior TPMs, and compares the no-incentive myopic response with the incentivized response in terms of long-term cost and mean-square state dynamics. All model parameters are included in the code, and fixed random seeds are used to ensure reproducibility. MATLAB and the Optimization Toolbox are required.
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