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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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On discrete-time dissipative port-Hamiltonian (descriptor) systems
Port-Hamiltonian (pH) systems have been studied extensively for linear continuous-time dynamical systems. This manuscript presents a discrete-time pH...
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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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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 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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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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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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Discrete–Time Stochastic Control Systems
For the discrete–time deterministic systems studied in Chap. 2 there is essentially a unique dynamic model.
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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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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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Stabilization of hybrid stochastic systems with time-varying delay by discrete-time state feedback control
In this paper, we are concerned with the stabilization of hybrid stochastic systems with variable delay by discrete-time state feedback control. By...
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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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Optimal Control of Unknown Discrete-Time Linear Systems with Additive Noise
The optimal control problem with a long run average cost is investigated for unknown linear discrete-time systems with additive noise. The authors...
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Dual optimization approach to set invariance conditions for discrete-time dynamic systems
Positively invariant set is a key concept in dynamic systems. Positive invariance condition of convex set for discrete-time dynamic systems is...
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Supervisory control to maximize mean time to failure in discrete event systems
In this paper, we investigate the use of supervisory control to maximize mean time to failure in a discrete event system framework. A complex...
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The Measurable Data Rate Theorem for Discrete-Time Control Systems
The data rate theorem of topological version for discrete-time control systems says that the topological feedback entropy characterizes the smallest...
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Discrete-time event-triggered finite-time non-fragile control of uncertain fractional-order singular systems
The problem of discrete-time event-triggered finite-time non-fragile control of uncertain fractional-order singular systems is considered in this...
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Discrete-Time Pairwise Connected Switched Systems and Lur’e Systems. Tsypkin’s Criterion for Systems with Two Nonlinearities
AbstractWe study the stability of discrete-time switched systems for any laws of switching between linear subsystems. Pairwise connected systems are...
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Extended dissipative filter design for interval type 2 fuzzy discrete time switched systems with time varying delays
The article examines the topic of extended dissipative filtering design for a class of discrete-time interval type 2 fuzzy switching systems...
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Static Feedback Design in Linear Discrete-Time Control Systems Based on Training Examples
AbstractThe problem of static feedback design in linear discrete time-invariant control systems is considered. The desired behavior of the system is...