A switched systems approach for the analysis and control of mode transitions in biological networks

El‐Farra, Nael H.; Gani, Adiwinata; Christofides, P.D.

doi:10.1109/acc.2005.1470472

Cited by 25 publications

(15 citation statements)

References 16 publications

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“…Consequently, the hybrid closed-loop system is formed by interconnecting the switched plant (13) and the hybrid controller (14) with the parametrization (15) 5 ;…”

Section: Remarkmentioning

confidence: 99%

“…Unlike those typically used in the literature [2,8,23], it results in a particular switched system with independent dynamics in each subsystem as seen in (24). Based on this transformation technique and the new hybrid controller structure (14) with impulsive dynamics, the convex synthesis conditions as described in Theorem 1 are derived.…”

Section: Remarkmentioning

confidence: 99%

“…As a typical class of hybrid systems, switched systems are represented by a finite number of subsystems (continuous time or discrete time) and a logical rule that orchestrates the switching among these subsystems, resulting in a nonlinear system behavior . A main reason for the widespread interests in switched systems is the hybrid nature in the modeling of various practical applications, such as aircraft control , robotics , power electronics , and biological networks . The stability and stabilization problems for switched systems have been extensively investigated in the literature (see, e.g., and the references therein).…”

Section: Introductionmentioning

confidence: 99%

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Almost output regulation of switched linear dynamics with switched exosignals

Yuan

2017

Intl J Robust & Nonlinear

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Summary For systems with switched linear dynamics and affected by persistent switched exosignals, we propose a new hybrid control approach to achieve not only closed‐loop stability but also tracking and/or rejection of persistent references/disturbances generated by multiple exosystems, namely, output regulation. It is assumed that both controlled plant and exosystem are described by switched linear models. The proposed hybrid controller/output regulator is specified as a switching impulsive system, where the controller states will undergo impulsive jumps at each switching instant. Based on the average dwell time switching technique, it has been shown how to completely reduce the synthesis problem of the hybrid controller to a set of linear matrix equations and linear matrix inequalities. Both continuous‐time and discrete‐time cases are discussed. To demonstrate its usefulness, the proposed hybrid control method has been applied to solve the output regulation problem for a mechanical system. Copyright © 2017 John Wiley & Sons, Ltd.

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“…Consequently, the hybrid closed-loop system is formed by interconnecting the switched plant (13) and the hybrid controller (14) with the parametrization (15) 5 ;…”

Section: Remarkmentioning

confidence: 99%

Section: Remarkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Almost output regulation of switched linear dynamics with switched exosignals

Yuan

2017

Intl J Robust & Nonlinear

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“…Also, The switching is memory less, and the waiting time for the next switch has an exponential distribution. We can hence model the regime switching by a switching rules such as Markov Chain or periodic time‐varying parameters . Also, it is well known that harvesting has a strong impact on the dynamic evolution of a population.…”

Section: Numerical Examplesmentioning

confidence: 99%

Stability analysis of uncertain switched singular time‐delay systems with discrete and distributed delays

Zamani

Shafiee

2013

Optim Control Appl Methods

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SummaryThe issues of stability analysis of a class of continuous uncertain switched singular time‐delay systems consisting of discrete and distributed delays is investigated in this paper. Based on the LMIs, constructing the new extended Lyapunov‐like Krasovskii functional, and the average dwell‐time approach, delay‐dependent sufficient conditions are derived to check the stability of such systems. By solving the corresponding LMIs, the average dwell‐time and switching signal condition are obtained. This paper also highlights the relationship between the average dwell‐time of the switched singular time‐delay system, exponential rate of differential, and algebraic states. Two numerical examples show the effectiveness of the proposed design method. Copyright © 2013 John Wiley & Sons, Ltd.

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“…Switched linear systems have received attention due to the wide range of their applications in modelling, stabilisation, and control [1–5]. Stability analysis and stabilisation of switched linear systems are two important problems in the area of switched systems.…”

Section: Introductionmentioning

confidence: 99%