Robust Fixed-Time Stability: Application to Sliding-Mode Control [PDF]
IEEE Transactions on Automatic Control, 2022 This article deals with robust fixed-time stability and stabilization. First, new global robust fixed-time stability results are proposed for scalar systems by using constant and variable exponent coefficients. Then, they are applied to global robust fixed-time stabilization of a class of uncertain nonlinear second order systems by using sliding mode ...
Emmanuel Moulay +2 more
exaly +6 more sources
Conditions for fixed-time stability and stabilization of continuous autonomous systems [PDF]
Systems and Control Letters, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wilfrid Perruquetti +2 more
exaly +7 more sources
Characterization of Finite/Fixed-time Stability of Evolution Inclusions [PDF]
2019 IEEE 58th Conference on Decision and Control (CDC), 2019 Characterizations (necessary and sufficient conditions) of finite-time and fixed-time stability of evolution inclusions in Banach spaces are presented in terms of Lyapunov functionals.
Andrey Polyakov, Polyakov, Andrey
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Fixed-Time Stability, Uniform Strong Dissipativity, and Stability of Nonlinear Feedback Systems
MathematicsIn this paper, we develop new necessary and sufficient Lyapunov conditions for fixed-time stability that refine the classical fixed-time stability results presented in the literature by providing an optimized estimate of the settling time bound that is ...
Wassim M. Haddad +2 more
doaj +2 more sources
Global Fixed-Time Stability of General Stochastic Nonlinear Systems
ComplexityIn this article, the fixed-time stabilization issue is investigated for a kind of general p-norm stochastic nonlinear systems. The feature of the considered systems is that all powers are any positive rational numbers, which means this type of systems ...
Liandi Fang, Daohong Zhu, Zhenzhen Long
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Fixed-Time Stability of the Hydraulic Turbine Governing System [PDF]
Mathematical Problems in Engineering, 2018 This paper studies the problem of fixed-time stability of hydraulic turbine governing system with the elastic water hammer nonlinear model. To control and improve the quality of hydraulic turbine governing system, a new fixed-time control strategy is proposed, which can stabilize the water turbine governing system within a fixed time. Compared with the
Caoyuan Ma +5 more
openaire +3 more sources
On Converse Lyapunov Theorem for Fixed-Time Input-to-State Stability
SIAM Journal on Control and Optimization, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Efimov, Denis, Polyakov, Andrey
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A note on the robust stability of uncertain stochastic fuzzy systems with time-delays [PDF]
, 2004 Copyright [2004] IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Brunel University's products or services.
Liu, X, Wang, Z, Ho, DWC
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Analysis of the dynamics and stability of fixed bed reactors [PDF]
, 1974 Various problems regarding the behaviour of fixed bed catalytic reactors involving highly exothermic reactions have been studied in relation to optimal design and control.
Naim, Hussam M
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Nonsingular Global Fixed‐Time Stabilization for Nonlinear Systems [PDF]
Complexity, 2021 Since existing results about fixed‐time stabilization are only applied to strict feedback systems, this paper investigates the nonsingular fixed‐time stabilization of more general high‐order nonlinear systems. Based on a novel concept named coordinate mapping of time domain, a control method is first proposed to transform the nonsingular fixed‐time ...
Wei Hu, Zhangyong Zhou, Junjun Tang
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