Prescribing transport equation solution's decay via multiplicity manifold and autoregressive boundary control
This article addresses the boundary control problem of the transport equation. Namely, we
propose a control method, which is merely a delayed output feedback relying on a partial …
propose a control method, which is merely a delayed output feedback relying on a partial …
Over-order multiplicities and their application in controlling delay dynamics. On zeros' distribution of linear combinations of Kummer hypergeometric functions
A series of recent works have shown that, for a system of linear functional differential
equations, a spectral value having a multiplicity exceeding the order of the system tends to …
equations, a spectral value having a multiplicity exceeding the order of the system tends to …
Multiplicity-induced-dominancy for delay systems: Comprehensive examples in the scalar neutral case
This article focuses on the characterization of a particular spectral property called Multiplicity-
induced-dominancy applying for linear dynamical systems described by delay-differential …
induced-dominancy applying for linear dynamical systems described by delay-differential …
Mid property for delay systems: Insights on spectral values with intermediate multiplicity
This paper focuses on the problem of multiplicity induced dominancy (MID) for a class of
linear time-invariant systems represented by delay-differential equations. If the problem of …
linear time-invariant systems represented by delay-differential equations. If the problem of …
Over one century of spectrum analysis in delay systems: an overview and new trends in pole placement methods
Pole placement represents a classical method for controlling finite-dimensional linear time-
invariant systems, largely covered in the open literature. Basically, it consists of placing the …
invariant systems, largely covered in the open literature. Basically, it consists of placing the …
Multiplicity manifolds as an opening to prescribe exponential decay: auto-regressive boundary feedback in wave equation stabilization
Exploring a more than 70 years old idea about the minimization of the spectral abscissa of
linear functional differential equations, a series of recent works highlighted the insights that …
linear functional differential equations, a series of recent works highlighted the insights that …
Decay rate assignment through multiple spectral values in delay systems
This paper focuses on a spectral property for linear time-invariant (LTI) dynamical systems
represented by delay-differential equations (DDEs) entitled multiplicity-induced-dominancy …
represented by delay-differential equations (DDEs) entitled multiplicity-induced-dominancy …
Rolling balance board robust stabilization: a mid-based design
This paper considers the stabilization of a rolling balance board by means of the multiplicity-
induced-dominancy property. A two degree-of-freedom mechanical model of a human …
induced-dominancy property. A two degree-of-freedom mechanical model of a human …
Stochastic Models of Diagnostic Signals Arising During the Operation of Electrical Equipment
V Babak, S Babak, A Zaporozhets - Statistical Diagnostics of Electric …, 2024 - Springer
This chapter presents a comprehensive mathematical framework for the analysis and
diagnostic application of vibration and acoustic emission (AE) signals in electrical …
diagnostic application of vibration and acoustic emission (AE) signals in electrical …
Central nervous system action on rolling balance board robust stabilization: Computer algebra and mid-based feedback design
Using the computer algebra system Maple, we consider the stabilization of a rolling balance
board by means of the multiplicity-induced-dominancy (MID) property. The human stance on …
board by means of the multiplicity-induced-dominancy (MID) property. The human stance on …