Search Results - Spaces of differential OR polymorphic functions on infinite-dimensional spaces
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Characterizations of Input-to-State Stability for Infinite-Dimensional Systems
ISSN: 0018-9286, 1558-2523Published: New York IEEE 01.06.2018Published in IEEE transactions on automatic control (01.06.2018)“…We prove characterizations of input-to-state stability (ISS) for a large class of infinite-dimensional control systems, including some classes of evolution…”
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On generalized Nash equilibrium problems in infinite-dimensional spaces using Nikaido-Isoda type functionals
ISSN: 1055-6788, 1029-4937Published: Abingdon Taylor & Francis 03.07.2024Published in Optimization methods & software (03.07.2024)“…We present an analysis of generalized Nash equilibrium problems in infinite-dimensional spaces with possibly non-convex objective functions of the players…”
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3
Optimal approximation of infinite-dimensional holomorphic functions
ISSN: 0008-0624, 1126-5434Published: Milano Springer Nature B.V 01.03.2024Published in Calcolo (01.03.2024)“… This is primarily due to the relevance of functions that are solutions to parametric differential equations in various fields, e.g…”
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Structured H∞‐control of infinite‐dimensional systems
ISSN: 1049-8923, 1099-1239Published: Bognor Regis Wiley Subscription Services, Inc 01.06.2018Published in International journal of robust and nonlinear control (01.06.2018)“…‐dimensional linear time‐invariant systems in transfer function form. A major benefit of our approach is that reduction or identification techniques are not needed, which avoids typical distortions…”
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5
New Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in ℝⁿ
ISBN: 1470441616, 9781470441616ISSN: 0065-9266, 1947-6221Published: Providence, Rhode Island American Mathematical Society 2020“…The aim of this work is to adapt the complex analytic methods originating in modern Oka theory to the study of non-orientable conformal minimal surfaces in All…”
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Input-to-state stability of infinite-dimensional control systems
ISSN: 0932-4194, 1435-568XPublished: London Springer-Verlag 01.03.2013Published in Mathematics of control, signals, and systems (01.03.2013)“…We develop tools for investigation of input-to-state stability (ISS) of infinite-dimensional control systems…”
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Infinite-dimensional port-Hamiltonian systems: a system node approach
ISSN: 0932-4194, 1435-568XPublished: London Springer London 01.09.2025Published in Mathematics of control, signals, and systems (01.09.2025)“…We consider an operator-theoretic approach to linear infinite-dimensional port-Hamiltonian systems…”
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8
Non-Gaussian Measures in Infinite Dimensional Spaces: the Gamma-Grey Noise
ISSN: 0926-2601, 1572-929XPublished: Dordrecht Springer Netherlands 01.04.2024Published in Potential analysis (01.04.2024)“… The related generalized processes, in the infinite dimensional setting, are also defined and, through the use of the Riemann-Liouville fractional operators, the (possibly tempered…”
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9
Input-to-state stability and integral input-to-state stability of non-autonomous infinite-dimensional systems
ISSN: 0020-7721, 1464-5319Published: London Taylor & Francis 27.07.2021Published in International journal of systems science (27.07.2021)“…) and integral input-to-state stability (iISS) for non-autonomous infinite-dimensional systems…”
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10
Robustness of Exponential Dichotomy in a Class of Generalised Almost Periodic Linear Differential Equations in Infinite Dimensional Banach Spaces
ISSN: 1040-7294, 1572-9222Published: New York Springer US 01.12.2022Published in Journal of dynamics and differential equations (01.12.2022)“…In this paper we study the robustness of the exponential dichotomy in nonautonomous linear ordinary differential equations under integrally small perturbations in infinite dimensional Banach spaces…”
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Extremal Kähler Metrics Induced by Finite or Infinite-Dimensional Complex Space Forms
ISSN: 1050-6926, 1559-002XPublished: New York Springer US 01.08.2021Published in The Journal of geometric analysis (01.08.2021)“…In this paper, we address the problem of studying those complex manifolds M equipped with extremal metrics g induced by finite or infinite-dimensional complex space forms…”
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Geometric rough paths on infinite dimensional spaces
ISSN: 0022-0396, 1090-2732Published: Elsevier Inc 15.12.2022Published in Journal of Differential Equations (15.12.2022)“…Similar to ordinary differential equations, rough paths and rough differential equations can be formulated in a Banach space setting. For α∈(1/3,1/2…”
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13
Conditional Fourier-Feynman transform given infinite dimensional conditioning function on abstract Wiener space
ISSN: 0011-4642, 1572-9141Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2023Published in Czechoslovak mathematical journal (01.10.2023)“… ). An infinite dimensional conditioning function is used to define the CFFT. To do this, we first present a short survey of the conditional Wiener integral concerning the topic of this paper…”
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Geometric MCMC for infinite-dimensional inverse problems
ISSN: 0021-9991, 1090-2716Published: Cambridge Elsevier Inc 15.04.2017Published in Journal of computational physics (15.04.2017)“…Bayesian inverse problems often involve sampling posterior distributions on infinite-dimensional function spaces…”
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On the forward–backward method with nonmonotone linesearch for infinite-dimensional nonsmooth nonconvex problems
ISSN: 1573-2894, 0926-6003, 1573-2894Published: New York, NY Springer US 01.07.2025Published in Computational optimization and applications (01.07.2025)“… (not necessarily smooth) function. These problems appear, for example, frequently in the context of optimal control of nonlinear partial differential equations (PDEs…”
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Principles of Dualism in the Theory of Solutions to Infinite-Dimensional Differential Equations Depending on Existing Types of Symmetries
ISSN: 0965-5425, 1555-6662Published: Moscow Pleiades Publishing 01.09.2025Published in Computational mathematics and mathematical physics (01.09.2025)“…In the case of a homogeneous medium, we describe the dualism of spaces of soliton solutions and solutions of an induced functional differential equation of pointwise type and formulate theorems…”
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Spatiotemporal Adaptive Fuzzy Control for State Profile Tracking of Nonlinear Infinite-Dimensional Systems on a Hypercube
ISSN: 1063-6706, 1941-0034Published: New York IEEE 01.02.2024Published in IEEE transactions on fuzzy systems (01.02.2024)“… to approximate any real continuous functions in a separable Hilbert space based on the spatiotemporal fuzzy set notion…”
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Solutions and anti-periodic solutions for impulsive differential equations and inclusions containing Atangana-Baleanu fractional derivative of order $ \zeta \in (1, 2) $ in infinite dimensional Banach spaces
ISSN: 2473-6988, 2473-6988Published: AIMS Press 01.01.2024Published in AIMS mathematics (01.01.2024)“…) $. We also derived the exact relations between these fractional boundary value problems and the corresponding fractional integral equations in infinite dimensional Banach spaces…”
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Adaptive identification of linear infinite-dimensional systems
ISSN: 0020-7179, 1366-5820Published: Abingdon Taylor & Francis 04.03.2025Published in International journal of control (04.03.2025)“…) in a linear stable single-input single-output infinite-dimensional system. We assume that the transfer function of the infinite-dimensional system can be expressed as a ratio of two infinite series…”
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Finite and Infinite Dimensional Reproducing Kernel Hilbert Space Approach for Bagley–Torvik Equation
ISSN: 2349-5103, 2199-5796Published: New Delhi Springer India 01.02.2025Published in International journal of applied and computational mathematics (01.02.2025)“…In this paper, two different numerical approaches are presented in finite dimensional and infinite dimensional reproducing kernel Hilbert spaces for the fractional order Bagley…”
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