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Time Discrete Abstract Fractional Volterra Equations via Resolvent Sequences
This paper is devoted to the study of time discrete Volterra equations and discrete fractional Volterra equations. Based on a concept of resolvent...
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Stability Analysis of Several Time Discrete Schemes for Allen–Cahn and Cahn–Hilliard Equations
AbstractIn this paper, the stability of several time discrete schemes for Allen–Cahn and Cahn–Hilliard equations and an error estimate for...
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Normal Forms, Holomorphic Linearization and Generic Bifurcations of Dynamic Equations on Discrete Time Scales
In this paper, we extend the classical theory of normal forms for continuous and difference dynamical systems to dynamic equations on discrete time...
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Stability analysis of discrete-time tempered fractional-order neural networks with time delays
In order to accurately capture non-local properties and long-term memory effects, this study combines the tempered fractional-order operator with...
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Convergence of Discrete-Time Deterministic Games to Path-Dependent Isaacs Partial Differential Equations Under Quadratic Growth Conditions
We consider discrete-time approximations for path-dependent Isaacs partial differential equations (PDEs) of deterministic differential games under...
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On the Existence of Solutions of Degenerate Discrete-Time Systems
AbstractWe consider a nonstationary linear discrete-time descriptor system with rectangular matrix coefficients defined on a finite horizon. An...
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Construction of the Time-Optimal Bounded Control for Linear Discrete-Time Systems Based on the Method of Superellipsoidal Approximation
AbstractThe speed-in-action problem for a linear discrete-time system with bounded control is considered. In the case of superellipsoidal constraints...
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Passivity Techniques and Hamiltonian Structures in Discrete Time
The object of this paper is to show the impact of representing discrete-time dynamics as two coupled difference/differential equations in...
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Discrete-Time Dynamical Systems
In this chapter, we study a discrete-time dynamical system with a Lyapunov function in a metric space induced by a set-valued map**. For this...
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QUALITATIVE ANALYSIS OF A DISCRETE-TIME PLANT-HERBIVORE MODEL
This paper presents a qualitative analysis of a discrete-time plant-herbivore model. The model is based on a set of difference equations that...
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Dynamical analysis of a discrete-time plant–herbivore model
In this paper, a discrete-time model of a plant–herbivore system is qualitatively analyzed using difference equations to describe population dynamics...
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Stochastic Stability of Discrete Time Positive Markov Jump Nonlinear Systems
This paper investigates the stochastic stability of discrete time positive Markov jump nonlinear systems (PMJNS). Some definitions on stochastic...
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Discrete–Time Deterministic Systems
In Optimal control problem (OCP)discrete–time this chapter we consider the discrete–time system ( 1.1 ) in...
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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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The Stability by Linear Approximation of Discrete-Time Nonlinear Singular Systems
Considering a discrete-time nonlinear descriptor system, we construct the structural form and prove a local existence theorem for solutions. The...
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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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An Interval Observer-Based Method to Diagnose Discrete-Time Systems
AbstractThis paper proposes a method for diagnosing linear dynamic systems described by discrete-time models with exogenous disturbances based on...
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Bubbles in discrete-time models
We introduce a new definition of bubbles in discrete-time models based on the discounted stock price losing mass under an equivalent martingale...
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Discrete-Time Rigid Body Pose Estimation Based on Lagrange–d’Alembert Principle
The problem of rigid body pose estimation is treated in discrete-time via discrete Lagrange–d’Alembert principle and discrete Lyapunov methods. The...
