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Deterministic Neural Networks Optimization from a Continuous and Energy Point of View
Getting an efficient neural network can be a very difficult task for engineers and researchers because of the huge number of hyperparameters to tune...
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6 Stability, Told by Its Developers
Lyapunov stability theory is probably the most useful qualitative method to study the behaviour of dynamical systems; it benefits from at least 75...
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Invariant set theorems for non-autonomous time-fractional systems
Though the commonly used fractional Lyapunov stability and LaSalle theorems have been beneficial in the development of the theory and applications of...
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Mathematical Analysis of Autonomous and Nonautonomous Hepatitis B Virus Transmission Models
This study presents an improved mathematical model for Hepatitis B Virus (HBV) transmission dynamics by investigating autonomous and nonautonomous...
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Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment
This paper is concerned with threshold dynamics of a degenerate diffusive HBV infection model with DNA-containing capsids in heterogeneous...
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Input-to-State Stability
In the previous chapter, we have analyzed well-posedness and properties of reachability sets for nonlinear control systemsControl systemnonlinear of...
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A local input-to-state stability result w.r.t. attractors of nonlinear reaction–diffusion equations
We establish the local input-to-state stability of a large class of disturbed nonlinear reaction–diffusion equations w.r.t. the global attractor of...
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Output Feedback Stabilization of Non-uniformly Observable Systems
AbstractStabilizing the state of a system relying only on the knowledge of a measured output is a classical control theory problem. Designing a...
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Dynamical Control Systems
In this chapter we define dynamical control systems over spaces previously discussed and we formalize concepts as touched upon in Chap....
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Global dynamics and spatio-temporal patterns in a two-species chemotaxis system with two chemicals
In this paper, we consider the signal-dependent diffusion and sensitivity in a chemotaxis–competition population system with two different signals in...
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The dynamics analysis of Gompertz virus disease model under impulsive control
The pandemic of Gompertz virus disease remains a pressing issue in agricultural production. Moreover, the dynamics of various infectious diseases is...
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Analysis of an age-structured HIV infection model with cell-to-cell transmission
Though cell-to-cell transmission cannot be overlooked in HIV infection, many existing studies have only focused on the cell-free infection. Moreover,...
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Complex Dynamics in a General Diffusive Predator–Prey Model with Predator Maturation Delay
We formulate and analyze a general diffusive predator–prey system with predator maturation delay. Global asymptotic stability of the predator-free...
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The ISS framework for time-delay systems: a survey
At the occasion of Eduardo D. Sontag’s 70th birthday, we provide here an overview of the tools available to study input-to-state stability (ISS) and...
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Existence of non-coercive Lyapunov functions is equivalent to integral uniform global asymptotic stability
In this paper, a class of abstract dynamical systems is considered which encompasses a wide range of nonlinear finite- and infinite-dimensional...
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Dynamical analysis and control strategies of an SIVS epidemic model with imperfect vaccination on scale-free networks
Vaccination is an effective method to prevent the spread of infectious diseases. In this paper, we develop an SIVS epidemic model with degree-related...
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Impact of releasing period and magnitude on mosquito population in a sterile release model with delay
Assuming that there are multiple batches of sterile males reared and released during the maturation period, we derive a switching delay differential...
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Amoebae for Clustering: A Bio-Inspired Cellular Automata Method for Data Classification
We present a bio-inspired mechanism for data clustering. Our method uses amoebae which evolve according to cellular automata rules: they contain the...
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Socio-economic Development Through Tourism: An Investigative Study for the Himalayan State Sikkim, India
Having been accorded the status of the largest service industry in India, tourism is an instrument for economic development and employment...
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An Augmented Reality Framework as a Solution to Enhance the Experience of Visiting a Museum
The technological advances converge with digital transformation in order to improve our everyday life. Cultural heritage is one of the application...