Intro
Preface
Contents
Abbreviations
Fundamentals of Cyber-Physical Systems
Physics-Informed Radial Basis Function Networks: Solving Inverse Problems for Partial Differential Equations
1 Introduction
2 Solving Algorithm
3 Experimental Study
4 Discussion
5 Conclusion
References
On a Method for Identifying Failure Models of Complex Systems
1 Introduction
2 Baseline Conditions
3 Conversion
4 The Assertion
4.1 Proof
5 Algorithm of the Method
5.1 Step 1
5.2 Step 2
5.3 Step 3
5.4 Step 4
6 Conclusion
References

Building Decentralized Resilient Cyber-Physical Systems for Operating in Open Areas
1 Introduction
2 Materials and Methods
3 Results
4 Discussion
5 Conclusion
References
Method of Expansion of Mathematical Tools of the Reliability Theory Due to the Properties of Stochastic Theory of Similarity
1 Introduction
2 Brief Overview of the Current State of the Reliability Theory
2.1 Logical and Probabilistic Methods
2.2 Statistical and Probabilistic Methods
3 Similarity Theory and Its Application to Problems of Statistical Analysis

4 Practical Application of Stochastic Similarity
4.1 Potential Probability Distribution in Comparison Problems
4.2 Stochastic Similarity
5 Useful Properties of the Lemma and the Integral Transformation
6 Discussion
7 Conclusion
References
Control of Plane Poiseuille Flow Using the Kreiss Constant
1 Introduction
2 Transient Energy Growth
3 Plane Poiseuille Flow
4 Transient Energy Minimization Using Kreiss Constant Feedback Control
5 Results
5.1 Open-Loop
5.2 Kreiss Constant Minimizing Controllers
6 Conclusion
References

Modifications of SHAP for Local Explanation of Function-Valued Predictions Using the Divergence Measures
1 Introduction
2 Shapley Values and Model Explainability
3 SHAP and Multiclassification Problems
4 Distance Measures
5 Numerical Experiments Using the Local Interpretation
5.1 Numerical Experiments with Synthetic Data
5.2 Numerical Experiments with Real Data
6 Conclusion
References
Robust Models of Distance Metric Learning by Interval-Valued Training Data
1 Introduction
2 Metric Learning by Interval-Valued Data
3 Linearization of the Problem

3.1 A Dual Form Approach
3.2 Extreme Points
3.3 Testing Regime
4 Conclusion
References
Measured Data Reconciliation Processed within Nonlinear Constraints Models in Cyber-Physical Systems
1 Introduction
2 Problem Formalization: The Joint Measurements Reconciliation
3 An Approximate Estimation of the Accuracy Increase Due to the Reconciliation Procedure
4 The Accuracy Increase Estimation for the Case of Measurand Interrelations Model's Nonlinearity
5 Using Example
6 Conclusions
References
Cyber-Physical Systems Technologies