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- Quantized_state_systems_method abstract "The quantized state systems (QSS) methods are a family of numerical integration solvers based on the idea of state quantization, dual to the traditional idea of time discretization.Unlike traditional numerical solution methods, which approach the problem by discretizing time and solving for the next (real-valued) state at each successive time step, QSS methods keep time as a continuous entity and instead quantize the system's state, instead solving for the time at which the state deviates from its quantized value by a quantum.They can also have many advantages compared to classical algorithms.They inherently allow for modeling discontinuities in the system due to their discrete-event nature and asynchronous nature. They also allow for explicit root-finding and detection of zero-crossing using explicit algorithms, avoiding the need for iteration---a fact which is especially important in the case of stiff systems, where traditional time-stepping methods require a heavy computational penalty due to the requirement to implicitly solve for the next system state. Finally, QSS methods satisfy remarkable global stability and error bounds, described below, which are not satisfied by classical solution techniques.By their nature, QSS methods are therefore neatly modeled by the DEVS formalism, a discrete-event model of computation, in contrast with traditional methods, which form discrete-time models of the continuous-time system. They have therefore been implemented in [PowerDEVS], a simulation engine for such discrete-event systems.".
- Quantized_state_systems_method wikiPageExternalLink powerdevs.
- Quantized_state_systems_method wikiPageExternalLink qssengine.
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- Quantized_state_systems_method wikiPageOutDegree "33".
- Quantized_state_systems_method wikiPageRevisionID "683765978".
- Quantized_state_systems_method wikiPageWikiLink Abel–Ruffini_theorem.
- Quantized_state_systems_method wikiPageWikiLink Absolute_value.
- Quantized_state_systems_method wikiPageWikiLink Adaptive_stepsize.
- Quantized_state_systems_method wikiPageWikiLink Algebraic_solution.
- Quantized_state_systems_method wikiPageWikiLink Almost_surely.
- Quantized_state_systems_method wikiPageWikiLink Category:Numerical_differential_equations.
- Quantized_state_systems_method wikiPageWikiLink DEVS.
- Quantized_state_systems_method wikiPageWikiLink Determinant.
- Quantized_state_systems_method wikiPageWikiLink Discrete_event_simulation.
- Quantized_state_systems_method wikiPageWikiLink Discrete_time_and_continuous_time.
- Quantized_state_systems_method wikiPageWikiLink Discretization.
- Quantized_state_systems_method wikiPageWikiLink Dual.
- Quantized_state_systems_method wikiPageWikiLink Eigendecomposition.
- Quantized_state_systems_method wikiPageWikiLink Eigendecomposition_of_a_matrix.
- Quantized_state_systems_method wikiPageWikiLink Explicit_and_implicit_methods.
- Quantized_state_systems_method wikiPageWikiLink Exponential_stability.
- Quantized_state_systems_method wikiPageWikiLink Hysteresis.
- Quantized_state_systems_method wikiPageWikiLink Initial_value_problem.
- Quantized_state_systems_method wikiPageWikiLink Jordan_canonical_form.
- Quantized_state_systems_method wikiPageWikiLink Jordan_normal_form.
- Quantized_state_systems_method wikiPageWikiLink LTI_system_theory.
- Quantized_state_systems_method wikiPageWikiLink Model_of_computation.
- Quantized_state_systems_method wikiPageWikiLink Multidimensional_system.
- Quantized_state_systems_method wikiPageWikiLink Norm_(mathematics).
- Quantized_state_systems_method wikiPageWikiLink Numerical_methods_for_ordinary_differential_equations.
- Quantized_state_systems_method wikiPageWikiLink Piecewise_linear_function.
- Quantized_state_systems_method wikiPageWikiLink PowerDEVS.
- Quantized_state_systems_method wikiPageWikiLink Quantization_(signal_processing).
- Quantized_state_systems_method wikiPageWikiLink Root-finding_algorithm.
- Quantized_state_systems_method wikiPageWikiLink State-space_representation.
- Quantized_state_systems_method wikiPageWikiLink State-transition_matrix.
- Quantized_state_systems_method wikiPageWikiLinkText "Quantized state systems method".
- Quantized_state_systems_method wikiPageWikiLinkText "quantized state systems method".
- Quantized_state_systems_method hasPhotoCollection Quantized_state_systems_method.
- Quantized_state_systems_method wikiPageUsesTemplate Template:Cite_book.
- Quantized_state_systems_method wikiPageUsesTemplate Template:Cite_news.
- Quantized_state_systems_method wikiPageUsesTemplate Template:Empty_section.
- Quantized_state_systems_method wikiPageUsesTemplate Template:Numerical_integrators.
- Quantized_state_systems_method wikiPageUsesTemplate Template:Reflist.
- Quantized_state_systems_method subject Category:Numerical_differential_equations.
- Quantized_state_systems_method hypernym Family.
- Quantized_state_systems_method comment "The quantized state systems (QSS) methods are a family of numerical integration solvers based on the idea of state quantization, dual to the traditional idea of time discretization.Unlike traditional numerical solution methods, which approach the problem by discretizing time and solving for the next (real-valued) state at each successive time step, QSS methods keep time as a continuous entity and instead quantize the system's state, instead solving for the time at which the state deviates from its quantized value by a quantum.They can also have many advantages compared to classical algorithms.They inherently allow for modeling discontinuities in the system due to their discrete-event nature and asynchronous nature. ".
- Quantized_state_systems_method label "Quantized state systems method".
- Quantized_state_systems_method sameAs m.0t540fr.
- Quantized_state_systems_method sameAs Q17120667.
- Quantized_state_systems_method sameAs Q17120667.
- Quantized_state_systems_method wasDerivedFrom Quantized_state_systems_method?oldid=683765978.
- Quantized_state_systems_method isPrimaryTopicOf Quantized_state_systems_method.