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Titchmarsh–Weyl Theory for Impulsive Dynamic Dirac System
We study the Titchmarsh–Weyl theory of the impulsive dynamic Dirac system. The limit-circle/limit-point classification will be obtained for this...
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Qualitative Investigation of Some Hierarchical Family of Cubic Dynamic Systems
AbstractThe article represents methods and results of the original investigation of some hierarchical family of cubic dynamic differential systems in...
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Stability of Cayley dynamic systems with impulsive effects
Linear dynamic systems with impulsive effects are considered. For such a system we define a new impulsive exponential matrix. Necessary and...
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Barrier Lyapunov Function-Based Finite-Time Dynamic Surface Control for Output-Constrained Nonstrict-Feedback Systems
This paper investigates a finite-time tracking problem for the uncertainty nonlinear systems in nonstrict-feedback form, in which the output signal...
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A symplectic homotopy perturbation method for stochastic and interval Hamiltonian systems and its applications in structural dynamic systems
This paper presents a symplectic homotopy perturbation method for Hamiltonian systems with uncertainties. The effects of uncertainties cannot be...
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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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Asymptotic Approach in the Dynamic Problems of the Theory of Elasticity for Bodies with Thin Elastic Inclusions
We propose a unified approach to the investigation of the processes of dynamic interaction of thin elastic inhomogeneities with an elastic medium. It...
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Dependence of the Behaviors of Trajectories of Dynamic Conflict Systems on the Interaction Vector
We study several models of dynamic conflict systems. Their behaviors are characterized by a certain quantity called an interaction vector. The...
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Time delay recurrent neural networks via PID control law to complex dynamic systems
This paper presents an extension to the theory on the analysis of stability of complex systems with time delay of fractional order; the previous...
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On the theory of dynamic graph regression problem
Most of real-world graphs are dynamic , i.e., they change over time by a sequence of update operations. While the regression problem has been studied...
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Two-Dimensional Dynamic Problems of the Theory of Elasticity Reduced to Singular Integral Equations with Immobile Singularities
We consider two-dimensional dynamic problems of the theory of elasticity, which can be reduced to singular integral or integrodifferential equations...
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An active high-static-low-dynamic-stiffness vibration isolator with adjustable buckling beams: theory and experiment
High-static-low-dynamic-stiffness (HSLDS) vibration isolators with buckling beams have been widely used to isolate external vibrations. An active...
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A novel approach to simplifying dynamic data through multi-scale decision systems
Optimal scale selection of multi-scale decision system (MDS) is an effective method to reduce data complexity, and there are a series of detailed...
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Adaptive asynchronous output feedback control for a class of switched nonlinear systems with a novel aperiodic dynamic sampling rule
This paper investigates the adaptive output feedback aperiodic sampling control for a class of switched nonlinear systems under asynchronous...
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Cooperative Output Regulation of Heterogeneous Systems over Directed Graphs: A Dynamic Adaptive Event-Triggered Strategy
This paper investigates the cooperative output regulation problem of heterogeneous linear multi-agent systems over directed graphs with the...
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Output Dynamic Controller Analysis for Stochastic Systems of Multiplicative Type
AbstractThe most important unsolved problem of control theory is the problem of optimizing a multiplicative stochastic system in the class of noisy...
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Identification of Parameters in Dynamic Systems via Sliding-Mode Techniques
Modern Identification Theory ([11], [12], [10]) basically deals with the problem of the efficient extraction of signal and systems dynamic properties...
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Dynamic stiffness characteristics of aero-engine elastic support structure and its effects on rotor systems: mechanism and numerical and experimental studies
The support structure of a rotor system is subject to vibration excitation, which results in the stiffness of the support structure varying with the...
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Generalized Model Representation of the Thermal Shock Theory
AbstractThis article considers the open problem of the thermal shock theory in terms of a generalized model of dynamic thermoelasticity under...
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On PID Control Theory for Nonaffine Uncertain Stochastic Systems
PID (proportional-integral-derivative) control is recognized to be the most widely and successfully employed control strategy by far. However, there...