Construction of discrete-time model for port-controlled Hamiltonian systems with applications [PDF]
, 2006 The issues of constructing a discrete-time model for Hamiltonian systems are in general different from those for dissipative systems. We propose an algorithm for constructing an approximate discrete-time model, which guarantees Hamiltonian conservation ...
Astolfi, A., +4 more
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Discrete-time synchronization of chaotic systems for secure communication [PDF]
, 2012 This paper deals with the problem of designing an exact nonlinear reconstructor for discrete-time chaotic encrypted messages. More precisely, we investigate the problem of designing a discrete-time dead-beat observer for nonlinear systems with unknown ...
Belmouhoub, Inaâm +7 more
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Towards ℓ2-stability of discrete-time reset control systems via dissipativity theory [PDF]
, 2013 This paper proposes conditions on input-output stability of discrete-time reset systems by using some key dissipativity properties. In the continuous-time setting, dissipativity of the base linear system is preserved under reset actions if the storage ...
Carrasco, Joaquín; id_orcid +1 more
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Impulsive Pinning Control of Discrete-Time Complex Networks with Time-Varying Connections
Mathematics, 2022 Complex dynamical networks with time-varying connections have characteristics that allow a better representation of real-world complex systems, especially interest in their not static behavior and topology.
Daniel Ríos-Rivera +3 more
doaj +1 more source
Input-to-state stability for discrete-time time-varying systems with applications to robust stabilization of systems in power form [PDF]
, 2005 Input-to-state stability (ISS) of a parameterized family of discrete-time time-varying nonlinear systems is investigated. A converse Lyapunov theorem for such systems is developed.
Laila, D. S. +5 more
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Dynamics of Neural Systems with Discrete and Distributed Time Delays [PDF]
SIAM Journal on Applied Dynamical Systems, 2015 Summary: In real-world systems, interactions between elements do not happen instantaneously, due to the time required for a signal to propagate, reaction times of individual elements, and so forth. Moreover, time delays are normally nonconstant and may vary with time. This means that it is vital to introduce time delays in any realistic model of neural
Bootan Rahman +2 more
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Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]
, 2009 This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A. +3 more
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Discrete-time output feedback sliding-mode control design for uncertain systems using linear matrix inequalities [PDF]
, 2011 An output feedback-based sliding-mode control design methodology for discrete-time systems is considered in this article. In previous work, it has been shown that by identifying a minimal set of current and past outputs, an augmented system can be ...
Floquet, Thierry +7 more
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Dynamics of Discrete Time Systems with a Hysteresis Stop Operator [PDF]
SIAM Journal on Applied Dynamical Systems, 2017 We consider a piecewise linear two-dimensional dynamical system that couples a linear equation with the so-called stop operator. Global dynamics and bifurcations of this system are studied depending on two parameters. The system is motivated by modifications to general-equilibrium macroeconomic models that attempt to capture the frictions and memory ...
Maxim Arnold +5 more
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Rate-Induced Tipping in Discrete-Time Dynamical Systems [PDF]
SIAM Journal on Applied Dynamical Systems, 2020 17 pages, 9 ...
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