Modelling of high complexity systems with applications / F. Stãnciulescu.

Table of content

Chapter 1. An Introduction to high complexity systems
1.1 Definition
1.2 Principles of approaching high complexity
References

Chapter 2. Structure of high complexity systems
2.1 System dimension
2.2 System non-linearity
2.3 Uncertainty in a high complexity system
References

Chapter 3. The principle of Uncertainty in high complexity systems
3.1 Definition of uncertainty
3.2 Statement of principle of uncertainty
3.3 Mathematical formalism of the principle of uncertainty
3.4 The concrete form of uncertainty
3.5 Application of the principle of uncertainty
References

Chapter 4. Simulation models
4.1 Numerical simulation models
4.2 Knowledge-based simulation models
4.3 Mathematical-heuristic simulation and control models
4.4 A methodology of Simulation models
References

Chapter 5. Knowledge base for modelling and simulation
5.1 Sequential logic and dynamic logic
5.2 Knowledge representation
5.3 Structure of the knowledge
5.4 Knowledge acquisition
References

Chapter 6. Mathematical-heuristic modelling
6.1 Methodology for mathematical-heuristic model development
6.2 Compatibility between the mathematical model and the heuristic knowledge-based and /or fuzzy one. Theorem of compatability
6.3 Application: a models library for simulation and control in ecology and environmental protection
6.4 Concluding remarks

Chapter 7. Stability of high complexity systems
7.1 Introduction
7.2 Mathematical-heuristic model for stability analysis and evaluation
7.3 Stability of control systems, described by mathematical-heuristic models
7.4 Case Study
7.5 Concluding remarks

Chapter 8. Risk analysis and assessment in high complexity systems
8.1 Introduction
8.2 The mathematical-heuristic model of risk analysis and assessment
8.3 Risk Assessment in high complexity systems
8.4 Case Study
References

Chapter 9. Simulation of high complexity
9.1 Introduction
9.2 Simulation using knowledge processing
9.3 Simulation of systems using a mathematical- heuristic model
9.4 Case study
References

Chapter 10. Control of High complexity systems
10. 1 Introduction
10.2 Control knowledge base
10.2.1 Knowledge presentation in control
10.2.2 General structure of a control knowledge-base controller
10.3 Knowledge-base control system
10.4 Fuzzy knowledge processing-based system
10.5 Case study
10.6 Concluding remarks
References

ETC

Includes bibliographical references and index.