Absolute exponential stability of switching Lurie systems with time-varying delay via dwell time switching

Zhao, Wenxiu; Sun, Yuangong

doi:10.1016/j.jfranklin.2023.09.023

Cited by 3 publications

(3 citation statements)

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“…Given the switching signal s(t), if there exist positive constants t i = inf s2N ft s : s(t s )=i, i 2 N g, such a switching signal s(t) is called the modedependent minimum dwell time (MDMDT) switching signal. 34 Definition 4. Given the switching signal s(t), if there exist positive constants t i = inf s2N ft s : s(t s ) = i, i 2 N g and ti = sup s2N ft s : s(t s ) = i, i 2 N g, such a switching signal s(t) is called the MDRDT switching signal.…”

Section: Preliminariesmentioning

confidence: 99%

“…Given the switching signal s(t), if there exist positive constants t i = inf s2N ft s : s(t s ) = i, i 2 N g and ti = sup s2N ft s : s(t s ) = i, i 2 N g, such a switching signal s(t) is called the MDRDT switching signal. 34 Remark 2. Compared with the traditional dwell time, mode-dependent dwell time is more general.…”

Section: Preliminariesmentioning

confidence: 99%

“…31,32 For the stability analysis of switched linear systems via dwell time switching, a kind of piecewise Lyapunov functions was proposed, which have been developed in the research of the stability of the switched Lurie system. 33,34 It is worth mentioning that this type of the Lyapunov functions has been used to solve the stabilization problems and reduce the conservatism of the H ' controller for switched linear systems. [35][36][37] Although this method can effectively solve the control problem for switched linear systems, the complexity of nonlinearity itself contains inherently many difficult research issues.…”

Section: Introductionmentioning

confidence: 99%

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H∞ control of switched Lurie systems with dwell time

Zhao,

Sun

2024

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article deals with the [Formula: see text] control problems of switched Lurie systems. Our purpose is to design switching signals and state feedback controllers with time-varying control gains that make the closed-loop switched Lurie systems absolutely stable. Based on switched time-varying Lyapunov–Lurie function, time-varying controllers corresponding to two kinds of switching signals are proposed. On this basis, the control synthesis conditions are given. It is worth mentioning that our results can deal with the situation that all subsystems are not stabilizable. Finally, the obtained results are applied to a flexible joint robotic arm model with switchings of parameter values. Another simulation example of switched Lurie systems is considered to illustrate the validity of the presented approaches.

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Section: Preliminariesmentioning

confidence: 99%

Section: Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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H∞ control of switched Lurie systems with dwell time

Zhao,

Sun

2024

Proceedings of the Institution of Mechanical Engineers, Part I:

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Asynchronous control of switched Lurie systems with dwell time

Zhao,

Sun

2024

Intl J Robust & Nonlinear

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SummaryIn this paper, we study the absolute stability and control problem for switched Lurie system (SLS) under asynchronous switching. A novel Lyapunov‐Lurie function is constructed, which is discontinuous and allowed to increase at the switching instants and the instants when controller modes and system modes are matched. Considering the superiority of time‐varying Lyapunov function technique, this paper is concerned with the Lyapunov‐Lurie function with time‐varying characteristic. Then, based on the switched time‐varying Lyapunov‐Lurie function (STVLLF) and mode‐dependent minimum dwell time (MDMDT) method, some control synthesis conditions are derived. The developed controller can guarantee the absolute stability and ‐gain performance for the closed‐loop SLS with admissible switching lag. Subsequently, a time‐varying control scheme is proposed from the STVLLF. control synthesis conditions in terms of linear matrix inequalities are established, which improve the existing results. Finally, two numerical examples are considered to illustrate the effectiveness of the proposed approaches.

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Finite-time stability and applications of positive switched linear delayed impulsive systems

He,

Bai

2024

MMC

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<abstract><p>In this paper, we study the finite-time stability and applications of positive switched linear delayed systems under synchronous impulse control, which includes two types of random switching and average dwell time switching. By constructing a type of linear time-varying co-positive Lyapunov functional, we first propose several new finite-time stability criteria. It should be emphasized that the linear term coefficient of the linear vector of the Lyapunov functional is adjusted to the difference between the weighting vector and the given vector. Then, we apply the obtained stability criteria to the linear time-varying delayed systems with impulsive effects. At last, three examples are given to demonstrate the validity of the obtained results, which includes the specific linear programming algorithm process.</p></abstract>

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Absolute exponential stability of switching Lurie systems with time-varying delay via dwell time switching

Cited by 3 publications

References 43 publications

H∞ control of switched Lurie systems with dwell time

H∞ control of switched Lurie systems with dwell time

Asynchronous control of switched Lurie systems with dwell time

Finite-time stability and applications of positive switched linear delayed impulsive systems

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