Input-to-state stability (ISS) is a stability notion widely used to study stability of nonlinear control systems with external inputs. Roughly speaking...
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control theory, bounded-input, bounded-output (BIBO) stability is a form of stability for signals and systems that take inputs. If a system is BIBO stable...
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to differential equations. Input-to-state stability (ISS) applies Lyapunov notions to systems with inputs. Lyapunov stability is named after Aleksandr Mikhailovich...
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(Bounded Input, Bounded Output stability), in signal processing and control theory Directional stability, the tendency for a body moving with respect to a medium...
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therefore, it is proper to state that a system is exponentially stable over a certain range of inputs. Marginal stability Control theory State space (controls)...
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of input-output stability is an important tool in studying the stability of interconnected systems since the gain of a system directly relates to how...
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Uncertain Constrained Nonlinear Systems: Recursive Feasibility and Input-to-State Stability Analysis". IEEE Transactions on Automatic Control. 56 (1): 72–87...
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Control theory (section Stability)
any bounded input. Stability for nonlinear systems that take an input is input-to-state stability (ISS), which combines Lyapunov stability and a notion...
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In economics, an input–output model is a quantitative economic model that represents the interdependencies between different sectors of a national economy...
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sometimes referred to as having neutral stability, is between these two types: when displaced, it does not return to near a common steady state, nor does it...
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Comparison function (category Stability theory)
holds that The comparison-functions formalism is widely used in input-to-state stability theory. E. D. Sontag. Comments on integral variants of ISS. Systems...
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mathematician specializing in control theory and known for her research on input-to-state stability. She is a professor of mathematics at Florida Atlantic University...
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co-authored with Alexander Scheinker; Springer. ISBN 978-3-319-50790-3 Input-to-State Stability for PDEs (2018), co-authored with Iasson Karafyllis; Springer....
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identification, a state-space representation is a mathematical model of a physical system that uses state variables to track how inputs shape system behavior...
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Group. His work in control theory led to the introduction of the concept of input-to-state stability (ISS), a stability theory notion for nonlinear systems...
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Logemann, Hartmut; Ryan, Eugene (2011). "The Circle Criterion and Input-to-State Stability". IEEE Control Systems Magazine. 31 (4): 32–67. doi:10.1109/MCS...
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Electronic stability control (ESC), also referred to as electronic stability program (ESP) or dynamic stability control (DSC), is a computerized technology...
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Metastability (redirect from Local stability)
thermodynamic trough without being at the lowest energy state is known as having kinetic stability or being kinetically persistent. The particular motion...
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generalization to more complex systems with multiple inputs and multiple outputs, such as control systems for airplanes. The Nyquist stability criterion is...
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Amplifier figures of merit (section Stability)
underdamped circuit. In response to a step input, the overshoot is the amount the output exceeds its final, steady-state value. Stability is an issue in all amplifiers...
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partial stability, Lagrange stability, boundedness, ultimate boundedness, input-to-state stability, input-output stability, finite-time stability, semistability...
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Stability and Growth Pact (SGP) is an agreement, among all the 27 member states of the European Union (EU), to facilitate and maintain the stability of...
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text-to-image model is a machine learning model which takes an input natural language prompt and produces an image matching that description. Text-to-image...
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Robust Integral of the Sign of the Error (RISE) Control (section Lyapunov Stability and the P-Function)
state, d ( x , t ) {\displaystyle d(x,t)} encapsulates modeling uncertainties and external disturbances, and u {\displaystyle u} is the control input...
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Control-Lyapunov function (category Stability theory)
For asymptotic stability, the state is also required to converge to x = 0 {\displaystyle x=0} . A control-Lyapunov function is used to test whether a...
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Multidimensional system (category Stability theory)
dimension has a state vector that contains the effect of prior inputs relative to that dimension. The collection of all such dimensional state vectors at a...
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tends to reduce the fluctuations in the output, whether caused by changes in the input or by other disturbances. Whereas positive feedback tends to instability...
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Feedback (category Articles to be expanded from September 2020)
system are routed back as inputs as part of a chain of cause and effect that forms a circuit or loop. The system can then be said to feed back into itself...
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shift of the output relative to the input. The frequency sweep must be slow enough for the system to reach its steady-state at each point of interest Applying...
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Voltage regulator (category Voltage stability)
be a trade-off between stability and the speed of the response to changes. If the output voltage is too low (perhaps due to input voltage reducing or load...
30 KB (4,242 words) - 05:04, 6 May 2025