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Perturbations of Dynamical Systems on Simple Time Scales
AbstractWe study perturbations of dynamical systems in Banach spaces for which time varies on simple time scales consisting of families of isolated...
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Data-Driven Control of Linear Systems via Quantized Feedback
Quantized feedback control is fundamental to system synthesis with limited communication capacity. In sharp contrast to the existing literature on...
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Sliding Window Algorithm for Parametric Identification of Dynamical Systems with Rectangular and Ellipsoid Parameter Uncertainty Domains
AbstractThe parametric identification problem for dynamical systems with rectangular and ellipsoid parameter uncertainty domains is solved for the...
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Dynamical Systems of p-Bergman Kernels
In this paper, we consider the dynamical system of p-Bergman kernels. This is useful when we consider a projective manifold with intermediate Kodaira...
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Differential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its application
The Morales-Ramis theory provides an effective and powerful non-integrability criterion for complex analytic Hamiltonian systems via the differential...
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Homogeneous Linear Systems
In the important special case where \(t\mapsto A(t) \) is a...
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Characterization, verification and computation of robust controlled invariants for monotone dynamical systems
In this paper, we consider the problem of computing robust controlled invariants for discrete-time monotone dynamical systems. We consider different...
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Linear Dynamical Systems of Nilpotent Lie Groups
We study the topology of orbits of dynamical systems defined by finite-dimensional representations of nilpotent Lie groups. Thus, the following...
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Dynamics of Linear Control Systems on the Group of Proper Motions
This article describes the dynamical behavior of any linear control system on the group of proper motions SE (2). It characterizes the controllability...
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Nonlinear Dynamical Systems
In Chap. 4 , we studied the dynamics of a single variable. Now we look at the dynamics of nonlinear...
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On the stability of discrete-time homogeneous polynomial dynamical systems
Every homogeneous polynomial dynamical system (HPDS) can be uniquely represented by a tensor. In our recent article (Chen, IEEE Trans Autom Control),...
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Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems
In this chapter, we introduce and discuss the following fundamental notions that will be used throughout the book: topological equivalence of...
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Data-Sampling Based Controllability Analysis and Optimal Control of Linear Multi-Agent Systems
This paper investigates optimal control for two kinds of multi-agent systems with the sampled-data based communication protocols. Necessary and...
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A Data-Driven Krylov Model Order Reduction for Large-Scale Dynamical Systems
Dynamical systems that involve non-linearity of the dynamics is a major challenge encountered in learning these systems. Similarly, the lack of...
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Determination of Transient Effect in Time-Dependent Linear Dynamical System Using Condition Spectrum
Condition spectrum is an essential generalization of the spectrum. This article considers the condition spectrum of bounded linear operators on...
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On positively invariant polyhedrons for discrete-time positive linear systems
In this paper, necessary and sufficient conditions for the polyhedron set to be a positively invariant polyhedron of a discrete-time positive linear...
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Asymptotic Behavior of an Adapted Implicit Discretization of Slowly Damped Second Order Dynamical Systems
In the context of damped second order linear dynamical systems, we study the asymptotic behavior of a time discretization of a slowly damped...
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Zabczyk Type Criteria for Asymptotic Behavior of Dynamical Systems and Applications
We obtain new characterizations for nonuniform and uniform asymptotic behaviors of variational systems in infinite dimensional spaces, following the...
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Multiple-Relaxation Runge Kutta Methods for Conservative Dynamical Systems
We generalize the idea of relaxation time step** methods in order to preserve multiple nonlinear conserved quantities of a dynamical system by...
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Decomposition of Linear Systems on Disconnected Lie Groups
This manuscript studies the global dynamics of a linear system on a disconnected Lie group. It shows that the connected components of the equilibria...
