Complex Systems: Spanning Control and Computational Cybernetics: Foundations: Dedicated to Professor Georgi M. Dimirovski on his Anniversary

Professor Georgi M. Dimirovski
Preface
Contents
General Issues in Systems Science and Cybernetics
Granular Modeling for the Realization of Fundamentals of Control, Systems Analysis, and Decision Making
1 Introduction
2 Information Granules, Information Granularity, and Granular Computing
3 From Data to Information Granules: A Principle of Justifiable Granularity
3.1 One-Dimensional Data
3.2 Multivariable Data
3.3 Representation Aspects of Granular Prototypes
3.4 Design of Information Granules in the Presence of Domain Knowledge
3.5 Design of a Family of Information Granules
4 Granular Models
4.1 The Concept
4.2 Construction of Granular Models
5 Granular Gradient Boosting
6 Federated Learning with Information Granules
6.1 Federated Clustering
6.2 A Granular Footprint of the Prototypes
6.3 Assessment of Performance of the Federated Rule-Based Model
7 Conclusions
References
Optimal Synchronizability of Complex Networks
1 Introduction
1.1 Network Model and Synchronization Criteria
1.2 Network Synchronizability
2 Network Topologies with Best Synchronizability
3 Exploring Higher-Order Topologies
4 Research Outlook
References
Double Disappointment and Double Solution (by Dialectical Systems Theory and Sustainable Socially Responsible Society Model)
1 The Selected Challenge and Viewpoint of Dealing with It Here
2 Humankind is in Existential Danger Due to Neoliberalism
3 Conditions Requiring Requisite Holism, Ethics of Interdependence and Social Responsibility in the Contemporary Society and Economy
4 Some Selected Viewpoints of Social Responsibility
5 Systems Theory: A Semi-Hidden Background of the Social Responsibility
6 The Essence of the Dialectical Systems Theory
7 The Six Components and Relations Making the Dialectical Systems Theory (DST): A Summary
8 Application of USOMID and Six Thinking Hats in Synergy
9 Suggestion about how to Introduce Requisite Holism in the Governance and Management of Organizations and Society—for SSR Society Behavior
10 Suggestion for Solution (Repeated): Combine Experiences for the Way Out from the Current Crisis (After Wasted Decades)
11 Conclusions
References
Activity’s Resources Models: Cooperation and Competition
1 Introduction
2 Competition for External Resources: The Role of Experience
3 Competition for External Resources: Restrictions
4 Competition for the Market
5 Competition for the Subordinates
References
Leader-Following Output Consensus of Discrete-Time Heterogeneous Systems
1 Introduction
2 Preliminaries
3 Main Result
4 An Illustrative Example
5 Conclusion
References
Distributed Composite Optimization for Multi-agent Systems with Asynchrony
1 Literature Review
2 Statement of Contributions
3 Organization
4 Preliminaries
4.1 Basic Notations
4.2 Optimization Problem Formulation
4.3 Communication Network Model
4.4 Motivating Examples
5 Dual Problem Setup
6 SynDe-DuPro and AsynDe-DuPro Algorithms Development
7 Simulation Results
7.1 Case Study One: Constrained DSLR in Machine Learning
7.2 Case Study Two: DERC in Power Systems
8 Conclusions and Future Work
References
Analysis and Design of Automation and Control Systems
Stability Analysis of Nonlinear Descriptor Systems
1 Introduction
2 Representation of Nonlinear Systems
2.1 State Equations
2.2 Descriptor Equations
2.3 Stability Analysis via Descriptor Equations
3 Stability Conditions for Nonlinear Descriptor Systems
3.1 Existence of Solutions
3.2 Stability Analysis
4 Absolute Stability of Lur'e-Type Feedback Systems
5 Conclusion
References
Adaptive Stability Control for a Class of Non-linear Systems in the b-Norm Form
1 Introduction
2 Background and Mathematical Preliminaries
3 Main Results
3.1 Process of Derivation
3.2 Results of Simulation
4 Conclusion
References
Exponential Decay of Processes in Positive Nonlinear Systems and Fractional Feedback Systems
1 Introduction
2 Positive Continuous-Time Linear Systems
2.1 Positive Integer and Fractional Orders Linear Systems
2.2 Exponential Decay of Transient Values in Nonlinear Systems with Positive Dynamical Feedbacks
2.3 Exponential Decay in Fractional Positive Nonlinear Feedback Systems
3 Positive Discrete-Time Linear Systems
3.1 Fractional Positive Discrete-Time Linear Systems
3.2 Fractional Interval Positive Linear Discrete-Time Systems
3.3 Exponential Decay of Transient Values in Feedback Positive Nonlinear Systems with Interval Matrices
3.4 Fractional Positive Feedback Nonlinear Systems
4 Concluding Remarks
References
Robust PID Controller Design of Second-Order Uncertain Nonlinear Time-Varying Delay System
1 Introduction
2 Preliminaries and Problem Formulation
3 Main Results
3.1 Model Transformation
3.2 Robust Stabilization
4 An Example
5 Conclusion
References
Switched Systems Stabilization by Means of Time-Dependent Switching Signal
1 Introduction
2 Problem Statement and Preliminaries
2.1 Basics of Switched Systems Theory
2.2 Novel Insights into Time-Driven Switching
2.3 A Necessary and Sufficient Condition
3 Simulation
4 Conclusion
References
Output-Based Asymptotic Controller for a Class of Nonlinear Systems via High-Order Sliding-Modes
1 Introduction
1.1 Organization
2 Problem Statement
3 High-Order Sliding-Mode-Based Observer Design
4 Robust Output Feedback Control Design
5 Application Examples
5.1 Robust Output-Feedback Stabilization of an Inverted Wheel Pendulum
5.2 Robust Output Tracking Controller for a Quadrotor
6 Conclusions
References
Interval Observers Design for Discrete-Time Linear Switched Systems
1 Introduction
2 Preliminaries
2.1 Notations, Basic Results
2.2 Positive Systems
2.3 Discrete Time Switched Linear System
2.4 Average Dwell Time
2.5 Input to State Stability
3 Problem Formulation
4 Framers Design
4.1 Interval Observer Design
4.2 Optimal Gain Computation Using CQLF
5 Numerical Simulations
5.1 Interval Observer Design Using CQLF
5.2 Interval Observer Using MQLF
5.3 Comparison Between the Two Approaches
5.4 Comparison Between the TNL Methods and the Classical Method ch14Dinhsps19
6 Conclusion
References
Dissipativity Based Global Sliding Mode Observer for Uncertain Mechanical Systems
1 Introduction
1.1 Motivation Example
2 One-DOF Mechanical Systems
2.1 Construction of the Observer
2.2 Main Results
2.3 Simulation Examples
3 Two-DOF Mechanical Systems
3.1 Observer Design and Results
4 Experimental Validation
4.1 Model Description
4.2 Selection of Observer Parameters
4.3 Experimental Results
5 Conclusions
References
Guaranteed Cost Control for Markovian Jump Systems with Uncertain Probabilities Subject to Channel Fadings
1 Introduction
2 Problem Formulation and Preliminaries
2.1 Markovian Jump Systems
2.2 Channel Fading
2.3 Output-Feedback Controller and Closed-Loop System
3 Performance Analysis
4 Guaranteed Cost Controller Design
5 Illustrative Example
6 Conclusions
References
Adaptive Synchronization of Time-Varying Non-linear Systems with Application to Signal Transmission
1 Introduction
2 Adaptive Control with Reference Model—Direct Approach
3 Adaptive Control—Identification Approach
4 Application to Signal Transmission by Means of Chaotic Generator Modulation
5 Example: Communication Using Chua System
5.1 Direct Approach
5.2 Identification Approach
6 Simulation Results
6.1 Simulations for Direct Adaptation Scheme
6.2 Simulations for Identification Transmission Scheme
7 Conclusions
References
Analysis of Time-Varying Interaction Mechanisms Leading to Synchronization State in Coupled Dynamical Systems
1 Introduction
2 Systems and Methods
2.1 The Interacting System—Coupled Stuart Landau Oscillators
2.2 Wavelet Transform
2.3 Synchronization Index
2.4 Modeling—Dynamical Bayesian Inference
2.5 Proposed Control Scheme
3 Analysis
3.1 The Time-Varying Coupling Functions
3.2 The Time-Varying Oscillations Due to Varying Interactions
3.3 Synchronization Transitions
3.4 Application of the Proposed Control Scheme for Control of the Synchronization State
4 Discussion and Conclusion
References
Game Theory in Systems and Control
A Survey on Decomposition of Finite Strategic-Form Games
1 Introduction
2 Finite Strategic-Form Games
3 Potential-Based Orthogonal Decomposition
3.1 Flow Representation Approach
3.2 Algebraic State Space Representation Approach
4 Zero-Sum-Based Decomposition
5 Symmetric-Based Decomposition
6 Conclusion
References
Pareto Nash Equilibrium Seeking for Switched Differential Games
1 Introduction
2 Problem Formulation
3 Main Result
3.1 Switched NE
3.2 Pareto Optimal Switching Strategy and PNE
4 PNE of Switched Linear Quadratic Differential Games
4.1 Switched NE
4.2 Pareto Optimal Switching Strategy and PNE
5 Conclusion
References
Incentive-Based Fault Tolerant Control of Evolutionary Matrix Games
1 Introduction
2 Single Population
2.1 Modeling Setting
2.2 Fault Tolerance Analysis
2.3 Fault Tolerant Control
2.4 2times2 Coordination Games
3 Single Population with Switching Payoff Matrices
3.1 Model Setting
3.2 2times2 Coordination Games
4 Single Population with Mutation
4.1 Modeling Setting
4.2 2times2 Coordination Game
5 Multiple Populations
5.1 Model Setting
5.2 Fault Tolerant Analysis
5.3 Fault Tolerant Control
5.4 2times2 Coordination Games
6 Conclusion
References
Computational Intelligence in Systems and Control
Adaptive RBF Neural Network Control for Nonlinear System
1 Introduction
2 Preliminaries
3 Adaptive Control Scheme Design
4 Simulation Results
5 Conclusion
References
Multiple-Valued Neural Networks and Branching Neural Networks
1 Introduction
2 Statements of Research Tasks for the Case Multiple-Valued ANN
3 Toward the Interpretation of MANN Solutions
4 Neural Networks Taking into Account Strong Anticipation as an Example of ANN with Multiple-Valuedness
5 Possible Consequences of the Using of ANN with Multiple-Validness
6 Branching Neural Networks
7 Conclusions
References
Ship Navigation in Narrowness Passes and Channels in Uncertain Conditions: Intelligent Decision Support
1 Introduction
2 Structure of Fuzzy Decision Making Support Systems
3 The Interface of the Designed DMSS
4 Fast Fuzzification of Quality Spatial Coordinates
5 Resulting Simulation Effects for Navigation in Narrowness Passes and Channels
6 Discussion of the Peculiarities of DMSS’s Design Process
7 Conclusions
References