• Input-to-state stability (ISS) is a stability notion widely used to study stability of nonlinear control systems with external inputs. Roughly speaking...
    22 KB (3,535 words) - 11:46, 23 May 2025
  • 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...
    7 KB (1,150 words) - 04:32, 19 May 2024
  • to differential equations. Input-to-state stability (ISS) applies Lyapunov notions to systems with inputs. Lyapunov stability is named after Aleksandr Mikhailovich...
    24 KB (3,889 words) - 15:28, 3 June 2025
  • (Bounded Input, Bounded Output stability), in signal processing and control theory Directional stability, the tendency for a body moving with respect to a medium...
    4 KB (507 words) - 12:16, 23 March 2025
  • Uncertain Constrained Nonlinear Systems: Recursive Feasibility and Input-to-State Stability Analysis". IEEE Transactions on Automatic Control. 56 (1): 72–87...
    8 KB (970 words) - 23:40, 9 March 2025
  • Thumbnail for Small-gain theorem
    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...
    2 KB (244 words) - 14:45, 13 March 2023
  • 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)...
    5 KB (682 words) - 02:47, 16 March 2025
  • any bounded input. Stability for nonlinear systems that take an input is input-to-state stability (ISS), which combines Lyapunov stability and a notion...
    45 KB (6,774 words) - 01:00, 17 March 2025
  • In economics, an input–output model is a quantitative economic model that represents the interdependencies between different sectors of a national economy...
    31 KB (4,061 words) - 15:39, 21 May 2025
  • 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...
    7 KB (1,001 words) - 23:43, 29 October 2024
  • 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...
    3 KB (552 words) - 17:24, 1 April 2024
  • identification, a state-space representation is a mathematical model of a physical system that uses state variables to track how inputs shape system behavior...
    30 KB (4,759 words) - 09:21, 9 March 2025
  • 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...
    3 KB (230 words) - 00:20, 2 May 2024
  • Thumbnail for Miroslav Krstić
    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....
    49 KB (4,621 words) - 02:23, 10 June 2025
  • Thumbnail for Eduardo D. Sontag
    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...
    14 KB (1,201 words) - 12:28, 4 May 2025
  • 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...
    6 KB (690 words) - 16:45, 26 May 2025
  • Thumbnail for Metastability
    thermodynamic trough without being at the lowest energy state is known as having kinetic stability or being kinetically persistent. The particular motion...
    17 KB (2,075 words) - 17:20, 18 June 2025
  • Thumbnail for Electronic stability control
    Electronic stability control (ESC), also referred to as electronic stability program (ESP) or dynamic stability control (DSC), is a computerized technology...
    64 KB (6,906 words) - 03:51, 2 June 2025
  • Thumbnail for Nyquist stability criterion
    generalization to more complex systems with multiple inputs and multiple outputs, such as control systems for airplanes. The Nyquist stability criterion is...
    22 KB (3,429 words) - 19:16, 21 May 2025
  • Thumbnail for Wassim Michael Haddad
    partial stability, Lagrange stability, boundedness, ultimate boundedness, input-to-state stability, input-output stability, finite-time stability, semistability...
    39 KB (4,322 words) - 14:00, 1 June 2025
  • 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...
    11 KB (1,636 words) - 18:02, 3 April 2025
  • Thumbnail for Stability and Growth Pact
    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...
    360 KB (21,170 words) - 09:32, 8 June 2025
  • 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...
    9 KB (2,069 words) - 02:49, 4 February 2024
  • Thumbnail for Text-to-image model
    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...
    20 KB (1,925 words) - 03:18, 7 June 2025
  • 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...
    9 KB (1,668 words) - 18:22, 30 May 2024
  • Thumbnail for Feedback
    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...
    48 KB (5,792 words) - 18:52, 12 June 2025
  • Thumbnail for Negative feedback
    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...
    45 KB (5,039 words) - 19:51, 25 May 2025
  • 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...
    11 KB (1,282 words) - 21:39, 7 May 2025
  • Thumbnail for Voltage regulator
    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