Dynamic Control and Optimization: DCO 2021, Aveiro, Portugal, February 3–5, Selected, Revised Contributions (Springer Proceedings in Mathematics & Statistics, 407)

This book contains the revised selected papers of the International Conference on Dynamic Monitoring and Optimization, DCO 2021, held in Aveiro, Portugal, February 3-5, 2021. The papers present achievements in the most challenging areas of dynamic control, optimization and related topics, including recent results in nonlinear dynamic control systems, calculus of variations, sub-Riemannian geometry, conventional differential equations, control of PDE evolution, stochastic differential equations, the spread of acoustic waves in elastic media, dynamics in space-time, Nondegenerate abnormality, controllability, and the infimum gap phenomena in optimization and optimal control with state constraints. Organization Preface Contents Optimal Control and Optimization Constructive Controllability for Incompressible Vector Fields 1 Introduction 2 Notation and Preliminaries 3 Global Controllability 4 Case of a Compact Manifold References Note On Optimal Control Problem Applied to Irrigation with Sectioned Soil 1 Introduction 2 Formulation 3 Problem Analysis 3.1 Hydrological Needs of the Crop 3.2 Existence of Solution 3.3 Maximum Principle in the Normal Form 3.4 Solution Profile 4 Numerical Results 4.1 Function gg Values 4.2 Validation 5 Conclusion References On Non-linear Optimization with a Perturbed Objective Function 1 Introduction 2 Preliminaries 2.1 Neutrices and External Numbers 2.2 Some Topological Notions 2.3 Flexible Functions 3 Optimization Problems with a Flexible Objective Function 4 Limits of Flexible Functions 5 Neutrix-Derivatives 6 Nearly Optimal Points and Neutrix Derivatives 7 Neutrix-Partial Derivatives 8 An Implicit Function Theorem for Neutrix-Differentiability 9 Lagrange Multiplier References Approximation of the Solution Based on the Decoupling Transformation of Linear Time-Varying Singularly Perturbed System with Delay 1 Introduction 2 Formulation of the Problem 2.1 System Under Investigation 2.2 Degenerate and Boundary Layer Systems 3 Decoupling Transformation and Its Asymptotic Representation 4 The Decoupled System and Its Approximations 5 Solution Approximation 6 Example 7 Conclusion References Dynamic Systems Optimal Cyclic Dynamic of Distributed Population Under Permanent and Impulse Harvesting 1 Introduction 2 Optimal Solution 2.1 Correctness and Boundness of Functional 2.2 Existence of Optimal Strategy 3 Proof of the Existence of an Optimal Harvesting Strategy References On the Growth and Oscillation of Fixed Points of Solutions of Linear Differential Equations with Meromorphic Coefficients 1 Introduction and Main Results 2 Preliminary Lemmas 3 Proofs of the Main Results 4 Future Aspects References Hesitant Fuzzy Sets Are Observers 1 Introduction 2 Observer as a Control Parameter in Systems 3 Relative Semidynamical Systems 4 Sink Points 5 Application References On the Stability of Three-Time-Scale Linear Time-Invariant Singularly Perturbed Systems with State Delay 1 Introduction 2 Statement of the Problem 3 Preliminaries 4 Stability of the TSPLTISD 5 Results and Verifications 6 Conclusion References Applications of Dynamic Systems and Optimal Control The Boolean Determinant Calculus 1 Introduction 2 Theoretical Basis and Its Transfer 2.1 Historical Application 2.2 Transfer to Boolean Algebra 3 Transitions Graph 3.1 Definition: Transitions Graph 4 The Transition Matrix 4.1 Definition: Transition Matrix 4.2 Transition Matrices of 5 Gate Types 4.3 Interconnections 4.4 Transmission Matrix of the Example 5 Boolean Determinant 5.1 Basic Terms and Calculation Rules 5.2 Definition: Boolean Determinant 5.3 Calculation Laws and Rules 5.4 Application Using Example 6 Conclusion References Constraint Modeling for Forest Management 1 Introduction 2 Related Work 3 Constraint Programming 4 Modeling Forest Management 5 Implementation 6 Experimental Evaluation 6.1 Limiting by Distance to Initial MU 6.2 Restricting to a Sub-Region 7 Conclusions and Future Work References A Note On a Prey-Predator Model with Constant-Effort Harvesting 1 Introduction 2 An Equivalent Model 3 Equilibria and Stability 4 Numerical Simulations 5 Conclusion References Discrete-Time System of an Intracellular Delayed HIV Model with CTL Immune Response 1 Introduction 2 Preliminaries 3 Main Results 3.1 The Discrete-Time Model 3.2 Global Stability 3.3 Numerical Simulations 4 Conclusion References A Stochastic Capital-Labour Model with Logistic Growth Function 1 Introduction 2 Existence and Uniqueness of Global Economic Solutions 3 Extinction of Total Labour Force 4 Persistence in the Mean of Total Labour Force 5 Numerical Simulations 6 Conclusions References Author Index