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Discrete-Time Mean-Field Stochastic Control with Partial Observations
We study the optimal control of discrete time mean filed dynamical systems under partial observations. We express the global law of the filtered...
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Discrete-Time Semi-Markov Random Evolutions and Their Applications
This book extends the theory and applications of random evolutions to semi-Markov random media in discrete time, essentially focusing on semi-Markov...
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Discrete-Time Semi-Markov Chains
This chapter presents the basic theory of general state space semi-Markov chains, as well as the splitting and merging of their phase space. New...
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On Uniform Dichotomies for the Growth Rates of Linear Discrete-time Dynamical Systems in Banach Spaces
The aim of the present paper is to give some characterizations for the growth rates of linear discrete-time dynamical systems in Banach spaces. More...
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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 Sliding Mode Control Using Multirate Output Feedback
The use of digital Computers and samplers in control circuitry in recent years, has made the use of discrete-time system representations of the...
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Discrete Approximations and Optimality Conditions for Controlled Free-Time Swee** Processes
The paper is devoted to the study of a new class of optimal control problems governed by discontinuous constrained differential inclusions of the...
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Finite-time stability in measure for nabla uncertain discrete linear fractional order systems
With the development of mathematical theory, fractional order equation is becoming a potential tool in the context of neural networks. This paper...
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Expected value based optimal control for discrete-time stochastic noncausal systems
In this paper, optimal control models subject to two types of discrete-time stochastic noncausal systems are considered in order. The stochastic...
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Infection-induced increases to population size during cycles in a discrete-time epidemic model
One-dimensional discrete-time population models, such as those that involve Logistic or Ricker growth, can exhibit periodic and chaotic dynamics....
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An Improved Method for Approximating the Infinite-Horizon Value Function of the Discrete-Time Switched LQR Problem
This paper considers the problem of approximating the infinite-horizon value function of the discrete-time switched LQR problem. In particular, the...
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Robust Stability Conditions for a Family of Linear Discrete-Time Systems Subjected to Uncertainties
AbstractRobust stability conditions are established for a family of linear discrete-time systems subjected to uncertainties. The traditional...
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On the Partial Stability Problem for Nonlinear Discrete-Time Stochastic Systems
AbstractWe consider a system of nonlinear discrete-time equations subject to the influence of a discrete random process of the “white” noise type....
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Discrete-Time Inverse Optimal Control
In this chapter, we investigate inverse optimal control problems for discrete-time dynamical systems. We pose two discrete-time inverse optimal...
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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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Time scale theory on stability of explicit and implicit discrete epidemic models: applications to Swine flu outbreak
Time scales theory has been in use since the 1980s with many applications. Only very recently, it has been used to describe within-host and...
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Hybrid discrete-time-continuous-time models and a SARS CoV-2 mystery: Sub-Saharan Africa’s low SARS CoV-2 disease burden
Worldwide, the recent SARS-CoV-2 virus has infected more than 670 million people and killed nearly 67.0 million. In Africa, the number of confirmed...
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A High-Order Discrete Energy Decay and Maximum-Principle Preserving Scheme for Time Fractional Allen–Cahn Equation
The shifted fractional trapezoidal rule (SFTR) with a special shift is adopted to construct a finite difference scheme for the time-fractional...
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Uniform Convergence on Subspaces in the von Neumann Ergodic Theorem with Discrete Time
AbstractWe consider the power-law uniform (in the operator norm) convergence on vector subspaces with their own norms in the von Neumann ergodic...