Mathematical Models -- Introduction to State Space Theory -- Stability Theory -- Perturbation Theory -- Uncertain Spaces -- Appendix: Linear Algebra -- Complex Analysis -- Convolutions and Transforms -- Linear Operators.This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. This first volume is devoted to t…
Invited Papers -- Algebraic Dynamics of Certain Gamma Function Values -- (Generalized) Convexity and Discrete Optimization -- Lipschitzian Stability of Parametric Constraint Systems in Infinite Dimensions -- Monotonicity in the Framework of Generalized Convexity -- Contributed Papers -- On the Contraction and Nonexpansiveness Properties of the Marginal Mappings in Generalized Variational Inequa…
Observation, Control, and Stabilization -- Well-Posedness in a Riesz Basis Setting -- Observability of Strings -- Observability of Beams -- Vector Sum Estimates -- Problems on Spherical Domains -- Multidimensional Ingham-Type Theorems -- A General Ingham-Type Theorem -- Problems with Weakened Gap Conditions.Advance Praise for Fourier Series in Control Theory: It has been known since 1967 that a…
Stability of dynamical systems, bifurcations, and generic properties -- Discrete invariants of dynamical systems -- Entropy and topological aspects of dynamical systems -- Entropy and metric aspects of dynamical systems -- Entropy and measure theoretic aspects of dynamical systems -- Smooth dynamical systems -- Cellular automata and Boolean networks as examples of discrete dynamical systems.Our…
The Stability of Matter: From Atoms to Stars -- Lower bound to the energy of complex atoms -- Improved Lower Bound on the Indirect Coulomb Energy -- Letter to the Editor -- Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle -- Atomic and Molecular Negative Ions -- Bound on the maximum negative ionization of atoms and molecules -- Approximate Neutrality of Large…
Background: Analysis of (s-1, s) and Order-Up-To Policies -- Background Concepts: An Introduction to the (s-1, s) Policy under Poisson and Compound Poisson Demand -- An Exact Model for a Depot-Base Two Echelon Inventory and Repair System -- Tactical Planning Models for Managing Recoverable Items -- A Continuous Time, Multi-Echelon, Multi-Item System with Time-Based Service Level Constraints -- …
An Overview of Enhanced Modal Identification -- The Reciprocity Gap Functional for Identifying Defects and Cracks -- Some innovative industrial prospects centered on inverse analyses -- Identification of damage in beam and plate structures using parameter dependent modal changes and thermographic methods -- Crack and Flaw Identification in Statics and Dynamics, using Filter Algorithms and Soft …
and Mathematical Preliminaries -- Vector Optimization Problems -- Vector Variational Inequalities -- Vector Variational Principles -- Vector Minimax Inequalities -- Vector Network Equilibrium Problems.Vector optimization model has found many important applications in decision making problems such as those in economics theory, management science, and engineering design (since the introduction of…