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Stabilizing Randomly Switched Systems [PDF]
SIAM Journal on Control and Optimization, 2008 This article is concerned with stability analysis and stabilization of randomly switched systems under a class of switching signals. The switching signal is modeled as a jump stochastic (not necessarily Markovian) process independent of the system state;
Daniel Liberzon +2 more
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Stability of A Switched Linear System [PDF]
Journal of Mechanical Engineering and Sciences, 2012 Hybrid systems are dynamic systems that arise out of the interaction of continuous state dynamics and discrete state dynamics. Switched systems, which are a type of hybrid system, have been given much attention by control systems research over the past ...
At-Tasneem Mohd Amin +2 more
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Optimal Switching Sequence for Switched Linear Systems [PDF]
SIAM Journal on Control and Optimization, 2020 We study the following optimization problem over a dynamical system that consists of several linear subsystems: Given a finite set of $n\times n$ matrices and an $n$-dimensional vector, find a sequence of $K$ matrices, each chosen from the given set of matrices, to maximize a convex function over the product of the $K$ matrices and the given vector ...
Zeyang Wu, Qie He
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Mathematics, 2021 This paper proves that the controller design for switched singularly perturbed systems can be synthesized from the controllers of individual slow–fast subsystems. Under the switching rules of individual slow–fast subsystems, switched singularly perturbed
Chun-Tang Chao +2 more
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Mathematics, 2023 This paper proposes an output feedback sliding-mode control design based on a switched robust integral sliding mode for switched systems with unmatched uncertainties.
Xiaoyu Zhang, Shuiping Xiong
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State Estimation of Positive Switched Interval Systems with Metzler–Takagi–Sugeno Fuzzy Models
Machines, 2023 This paper addresses the problem of estimating the state of a class of interval and positive nonlinear switched systems. The considered system class is represented by Metzler–Takagi–Sugeno fuzzy switched models with positive Lipschitz nonlinear functions
Dušan Krokavec, Anna Filasová
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Human Alertness Optimization with a Three-Process Dynamic Model
Mathematics, 2022 Circadian rhythm is an important biological process for humans as it modulates a wide range of physiological processes, including body temperature, sleep-wake cycle, and cognitive performance.
Jiawei Yin +5 more
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On Consensus and Stability under Denial-of-Service Attacks
Entropy, 2022 In the paper, discrete-time multi-agent systems under Denial-of-Service (DoS) attacks are considered. Since in the presence of DoS attacks the stability of the whole system may be disturbed, sufficient stability conditions for the multi-agent system ...
Ewa Girejko
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Exponential Stability of Switched Neural Networks with Partial State Reset and Time-Varying Delays
Mathematics, 2022 This paper mainly investigates the exponential stability of switched neural networks (SNNs) with partial state reset and time-varying delays, in which partial state reset means that only a fraction of the states can be reset at each switching instant ...
Han Pan, Wenbing Zhang, Luyang Yu
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The computation of the viability kernel for switched systems
Advances in Difference Equations, 2018 The computation of the viability kernel provides the guarantee for the security evolution of the systems. In this paper, we focus on the computation of the viability kernel for discrete-time and continuous-time switched systems.
Jianfeng Lv, Yan Gao
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