PERMANENCE OF A GENERAL DISCRETE-TIME TWO-SPECIES-INTERACTION MODEL WITH NONLINEAR PER-CAPITA GROWTH RATES [PDF]
: The per-capita growth rate of a species is influenced by density-independent, positive and negative density-dependent factors. These factors can lead to nonlinearity with a consequence that species may process multiple nontrivial equilibria in its ...
core +1 more source
Neural Network Adaptive Control for Discrete-Time Nonlinear Nonnegative Dynamical Systems
Nonnegative and compartmental dynamical system models are derived from mass and energy balance considerations that involve dynamic states whose values are nonnegative.
Tomohisa Hayakawa +3 more
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Completeness of Lyapunov Abstraction [PDF]
In this work, we continue our study on discrete abstractions of dynamical systems. To this end, we use a family of partitioning functions to generate an abstraction.
Rafael Wisniewski, Christoffer Sloth
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Vector dissipativity theory for discrete-time large-scale nonlinear dynamical systems
In analyzing large-scale systems, it is often desirable to treat the overall system as a collection of interconnected subsystems. Solution properties of the large-scale system are then deduced from the solution properties of the individual subsystems ...
Chellaboina Vijaysekhar +3 more
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Global dynamical properties of two discrete-time exponential systems
We explore the global dynamics of following three directional discrete-time exponential systems of difference equations: \[{x_{n + 1}} = \frac{{{\alpha _{19}} + {\beta _{19 }}{e^{ - {y_n}}}}}{{{\gamma _{19}} + {z_{n - 1}}}},\,\quad {y_{n + 1}} = \frac{{{\
A. Q. Khan
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Time-delayed impulsive control for discrete-time nonlinear systems with actuator saturation
This paper focuses on the problem of time-delayed impulsive control with actuator saturation for discrete-time dynamical systems. By establishing a delayed impulsive difference inequality, combining with convex analysis and inequality techniques, some ...
Liangliang Li, Chuandong Li, Wei Zhang
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Lyapunov functions for linear nonautonomous dynamical equations on time scales [PDF]
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform exponential asymptotic stability of the zero solution of a nonautonomous linear dynamical equation on a time scale with uniformly bounded ...
Peter E. Kloeden +3 more
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Another New Solvable Many-Body Model of Goldfish Type
A new solvable many-body problem is identified. It is characterized by nonlinear Newtonian equations of motion (''acceleration equal force'') featuring one-body and two-body velocity-dependent forces ''of goldfish type'' which determine the motion ofan ...
Francesco Calogero
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A note on discrete-time dynamical systems under periodic perturbation
We present some results on the existence and the minimum period of periodic orbits for discrete-time dynamical systems under periodic perturbation. Some examples are presented to illustrate these results.
Huimin Li, Xiaosong Yang
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Effects of Discrete Time Delays and Parameters Variation on Dynamical Systems
Delay Differential Equations (DDE's) have received considerable attention in recent years. В While most of these articles focused on the effects of the time delays on the stability of the equilibrium points and on the bifurcation that they may raised, В ...
Ibrahim Oumar Diakite +1 more
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