06262nam 2200565 450 991063989650332120230515093543.03-031-17558-1(MiAaPQ)EBC7165520(Au-PeEL)EBL7165520(CKB)25871352800041(EXLCZ)992587135280004120230422d2023 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierDynamic control and optimization DCO 2021, Aveiro, Portugal, February 3-5, selected, revised contributions /Tatiana Tchemisova, Delfim F. M. Torres, Alexander Yu Plakhov, editorsCham, Switzerland :Springer,[2023]©20231 online resource (244 pages)Springer proceedings in mathematics & statistics ;Volume 407Print version: Tchemisova, Tatiana V. Dynamic Control and Optimization Cham : Springer International Publishing AG,c2023 9783031175572 Includes bibliographical references and index.Intro -- 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.Springer proceedings in mathematics & statistics ;Volume 407.Control theoryMathematical optimizationTeoria de controlthubOptimització matemàticathubCongressosthubLlibres electrònicsthubControl theory.Mathematical optimization.Teoria de controlOptimització matemàtica629.8312Tchemisova Tatiana V.Torres Delfim F. M.Plakhov Alexander Yu.MiAaPQMiAaPQMiAaPQBOOK9910639896503321Dynamic control and optimization3089153UNINA