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Continuous Linear Functionals
We consider the notions of linear, continuous and bounded functional. Numerous examples of linear continuous functionals are provided and their norms...
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Continuous Linear Maps
The continuous linear maps, or operators, are those functions that preserve the structure of normed spaces. They are generalizations of matrices....
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Pareto vectors of continuous linear operators
The intersection of all zero-neighborhoods in a topological module over a topological ring is a bounded and closed submodule whose inherited topology...
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Consistency and interpolation in linear continuous logic
We prove Robinson consistency theorem as well as Craig, Lyndon and Herbrand interpolation theorems in linear continuous logic.
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Phase Portraits of a Class of Continuous Piecewise Linear Differential Systems
The phase portraits of the planar linear differential systems are very well known. This is not the case for the phase portraits of the planar...
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Optimality conditions and duality for a class of continuous-time linear optimization problems
In this work, optimality conditions and classical results from duality theory are derived for continuous-time linear optimization problems with...
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Compressed Least Squares Algorithm of Continuous-Time Linear Stochastic Regression Model Using Sampling Data
In this paper, the authors consider a sparse parameter estimation problem in continuous-time linear stochastic regression models using sampling data....
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Robust and continuous metric subregularity for linear inequality systems
This paper introduces two new variational properties, robust and continuous metric subregularity, for finite linear inequality systems under data...
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A Successive Linear Relaxation Method for MINLPs with Multivariate Lipschitz Continuous Nonlinearities
We present a novel method for mixed-integer optimization problems with multivariate and Lipschitz continuous nonlinearities. In particular, we do not...
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Bifurcations in Continuous Piecewise Linear Differential Systems Applications to Low-Dimensional Electronic Oscillators
The book is devoted to the qualitative study of differential equations defined by piecewise linear (PWL) vector fields, mainly continuous, and...
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A Game Representation for a Finite Horizon State Constrained Continuous Time Linear Regulator Problem
A supremum-of-quadratics representation for a class of extended real valued barrier functions is developed and applied in the context of solving a...
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Limit cycles of a continuous piecewise differential system formed by a quadratic center and two linear centers
The study of limit cycles of planar differential systems is one of the main and difficult problems for understanding their dynamics. Thus the...
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Bounded Linear Operators
We consider the notions of linear, continuous and bounded operator. For linear bounded operator the norm is introduced. The problems are devoted to...
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Synchronization of Continuous-Time Linear MAS
This chapter considers synchronization problems for homogeneous linear continuous-time multi-agent systems (MAS). A multi-agent system is homogeneous...
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Synchronization of Continuous-Time Linear Time-Varying MAS
This chapter considers synchronization problems for homogeneous linear continuous-time MAS with time-varying communication networks.
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The Convergence of Some Positive Linear Operators on the Space of Multivariate Continuous Periodic Functions
As a consequence of a general result, we prove that in the case of singular integrals the set of convergence consists only of the two functions
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On the Instability of Millionshchikov Linear Differential Systems with Continuous Dependence on a Real Parameter
AbstractWe prove the existence of unstable systems in one-parameter families of Millionshchikov linear differential systems with continuous...