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Guarantees for data-driven control of nonlinear systems using semidefinite programming: A survey [PDF]
Annual Reviews in Control, 2023 This survey presents recent research on determining control-theoretic properties and designing controllers with rigorous guarantees and for nonlinear systems for which no mathematical models but measured trajectories are available.
Tim Martin +2 more
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Carleman inequality for a class of super strong degenerate parabolic operators and applications
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we present a new Carleman estimate for the adjoint equations associated to a class of super strong degenerate parabolic linear problems. Our approach considers a standard geometric imposition on the control domain, which can not be removed
Bruno Sérgio Araújo +2 more
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Methods for adaptive control of objects with variable parameters [PDF]
E3S Web of Conferences, 2021 The work uses the method of standard characteristic polynomials, based on the Lyapunov theorem on adaptive control systems, the theory of flexible and robust control, methods of the theory of nonlinear systems. When modeling an internal combustion engine,
Yakubov Maksadkhan, Jamalova Gulchekhra
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Quantized‐feedback hands‐off control for nonlinear systems
IET Control Theory & Applications, 2021 This paper addresses a quantized feedback hands‐off control for a class of nonlinear systems. Here, [K,KL] sector is constructed with the suitable choice of control‐Lyapunov function.
Ankit Sachan +4 more
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Fixed‐time orientation estimation and network localisation of multi‐agent systems
IET Control Theory & Applications, 2021 Among different distributed network localisation methods, displacement‐based network localisation with orientation estimation is an effective approach because it does not require global information and yet asymptotically produces accurate estimates.
Younghun John +3 more
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IET Control Theory & Applications, 2021 The paper devotes to study fixed‐time stability of stochastic nonlinear systems and fixed‐time consensus of stochastic multi‐agent systems (SMASs). Firstly, a new fixed‐time stability theorem is established and a high‐precise estimation of settling time ...
Jiaju Yu, Shuanghe Yu, Yan Yan
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Some properties of Sadik transform and its applications of fractional-order dynamical systems in control theory [PDF]
Advances in the Theory of Nonlinear Analysis and its Application, 2019 In this paper, we study some new properties of Sadik transform such as integration, time delay, initial value theorem, and final value theorem. Moreover, we prove the theorem of Sadik transform for Caputo fractional derivative and we also establish ...
S. Redhwan, S. Shaikh, Mohammed S Abdo
semanticscholar +1 more source
IET Control Theory & Applications, 2021 In this paper, the state‐dependent impulsive consensus problem of nonlinear multi‐agent systems in directed topology with fully relative state constraint impulses is investigated.
Qiangqiang Zhang +3 more
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IET Control Theory & Applications, 2021 This paper is concerned with necessary and sufficient conditions for stabilisability of time‐varying discrete‐time switched systems. Starting with an asymptotically stable function, an exponentially stable function and a uniformly exponentially stable ...
Junjie Lu, Zhikun She, Fucheng Liao
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Stabilizing non‐linear model predictive control using linear parameter‐varying embeddings and tubes
IET Control Theory & Applications, 2021 This paper proposes a model predictive control (MPC) approach for non‐linear systems where the non‐linear dynamics are embedded inside a linear parameter‐varying (LPV) representation. The non‐linear MPC problem is therefore replaced by an LPV MPC problem,
Jurre Hanema, Roland Tóth, Mircea Lazar
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