On positive realness, negative imaginariness, and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml3" display="inline" overflow="scroll" altimg="si1.gif"><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:math> control of state-space symmetric systems

Liu, Mei; Lam, James; Zhu, Bohao; Kwok, Ka‐Wai

doi:10.1016/j.automatica.2018.11.031

Cited by 26 publications

(20 citation statements)

References 30 publications

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“…Therefore, CSR of corporations should consider whether specific attitudes towards equality during specific P. R. events will complement each other, support general preventive attitude towards environment or general progressive attitude towards technology (N = 161). This innerouter and preventive-progressive dynamics was not found in symmetry control of several (H∞) mathematical optimization trials (Liu et al, 2019). Also, interpurchase-timing by duration analysis repeatedly controlling mathematical optimization trials of real and imaginary appeals (Igari and Hoshino, 2018) is focusing on trends only.…”

Section: Discussionmentioning

confidence: 92%

“…Secondly, the altered impact of technology and CSR non-practitioners on emerging responsibility of supported criminals and addicts should be explained by theoreticians. Oppose roles complementing responsibilities of CSR practitioners and non-practitioners towards the company and the state exceed the framework of the recent CSR concepts and optimisation models (Liu et al, 2019). These complementary opposed roles are hidden or under-used by both practice and science.…”

Section: Discussionmentioning

confidence: 99%

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Marketing Dialogue With Pressure Groups

Boháček¹,

Linhart²,

Matisko³

et al. 2021

Acta Univ. Agric. Silvic. Mendelianae Brun.

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CSR actions are often controversial due to either the excessive voluntary or narrow standardized approach. The objective of this article is to find indices, which homogenize CSR campaigns of corporations according to specific attitudes and behaviour of individuals. Cluster analysis has significantly differentiated CSR volunteering contributors from non-volunteering critics. A small cluster of non-volunteering respondents calls for support of kids, criminals and addicts. Volunteering clusters are composed of employed respondents who are predominantly calling for equality and environment according to their work and leisure interest. The technology volunteering from the previous year disappeared from the list of CSR of respondents as it was aggregated either to other priority or finished and forgotten due to interests in a new project. Results demonstrate that responsibility is not related only to people in need but calls for simplification of complex public, corporate and human relationships to focus on its development.

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Section: Discussionmentioning

confidence: 92%

Section: Discussionmentioning

confidence: 99%

Marketing Dialogue With Pressure Groups

Boháček¹,

Linhart²,

Matisko³

et al. 2021

Acta Univ. Agric. Silvic. Mendelianae Brun.

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“…H ' control is a commonly used control strategy in control theory, which expresses the control problem as a mathematical optimization problem to find a proper controller to achieve stabilization with bounded performance (Ge et al, 2019). The advantage of the H ' control technique is its applicability to deal with problems with multivariate systems with cross-coupling between channels (Liu et al, 2019). It has been widely used in many areas to deal with the time-delay problems, uncertainties, or other issues during recent years, such as for Markov jump linear systems (Gao et al, 2019;Xu et al, 2019), fuzzy systems (Chaibi et al, 2019), network systems (Shen et al, 2019), and switched systems .…”

Section: Introductionmentioning

confidence: 99%

Event-triggered H_∞ control for active seat suspension systems with state delay

Wei

et al. 2021

Transactions of the Institute of Measurement and Control

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In this paper, the event-triggered control issue for active seat suspension systems is investigated, which considers the problem of the signal collection and control input in discrete time. An active seat suspension system, a discrete-time event-triggered scheme, and an [Formula: see text] controller are designed at first. Some Lyapunov functions are chosen so that the stability criteria of the considered system are established and the event-triggered scheme and [Formula: see text] controller are obtained. The event-triggered scheme can reduce the workload of data transmission. Both simulation and experimental tests illustrate the effectiveness and advantages of the proposed control approach to improve driving comfort and reduce data transmission compared with the uncontrolled seat suspension system.

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“…In this context, it has been formulated the hyperstability/asymptotic hyperstability theory which guarantee global stabilization and global asymptotic stabilization for a wide class of controllers provided they satisfy a Popov’s-type integral inequality which is, in fact, a passivity condition of the class of admissible controllers. See, for instance [5,6,7,8,9,10,11,12] as well as some of the references therein. It can also be pointed out that a wide class of existing results on non-linear stability and stabilization synthesis tools, c.f.…”

Section: Introductionmentioning

confidence: 99%

On the Design of Hyperstable Feedback Controllers for a Class of Parameterized Nonlinearities. Two Application Examples for Controlling Epidemic Models

Sen

2019

IJERPH

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This paper studies the hyperstability and the asymptotic hyperstability of a single-input single-output controlled dynamic system whose feed-forward input-output dynamics is nonlinear and eventually time-varying consisting of a linear nominal part, a linear incremental perturbed part and a nonlinear and eventually time-varying one. The nominal linear part is described by a positive real transfer function while the linear perturbation is defined by a stable transfer function. The nonlinear and time-varying disturbance is, in general, unstructured but it is upper-bounded by the combination of three additive absolute terms depending on the input, output and input-output product, respectively. The non-linear time-varying feedback controller is any member belonging to a general class which satisfies an integral Popov’s-type inequality. This problem statement allows the study of the conditions guaranteeing the robust stability properties under a variety of the controllers designed for the controlled system and controller disturbances. In this way, set of robust hyperstability and asymptotic hyperstability of the closed-loop system are given based on the fact that the input-output energy of the feed-forward controlled system is positive and bounded for all time and any given initial conditions and controls satisfying Popov’s inequality. The importance of those hyperstability and asymptotic hyperstability properties rely on the fact that they are related to global closed-loop stability, or respectively, global closed-loop asymptotic stability of the same uncontrolled feed-forward dynamics subject to a great number of controllers under the only condition that that they satisfy such a Popov’s-type inequality. It is well-known the relevance of vaccination and treatment controls for Public Health Management at the levels of prevention and healing. Therefore, two application examples concerning the linearization of known epidemic models and their appropriate vaccination and/or treatment controls on the susceptible and infectious, respectively, are discussed in detail with the main objective in mind of being able of achieving a fast convergence of the state- trajectory solutions to the disease- free equilibrium points under a wide class of control laws under deviations of the equilibrium amounts of such populations.

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On positive realness, negative imaginariness, and H∞ control of state-space symmetric systems

Cited by 26 publications

References 30 publications

Marketing Dialogue With Pressure Groups

Marketing Dialogue With Pressure Groups

Event-triggered H_∞ control for active seat suspension systems with state delay

On the Design of Hyperstable Feedback Controllers for a Class of Parameterized Nonlinearities. Two Application Examples for Controlling Epidemic Models

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On positive realness, negative imaginariness, and H∞ control of state-space symmetric systems

Cited by 26 publications

References 30 publications

Marketing Dialogue With Pressure Groups

Marketing Dialogue With Pressure Groups

Event-triggered H∞ control for active seat suspension systems with state delay

On the Design of Hyperstable Feedback Controllers for a Class of Parameterized Nonlinearities. Two Application Examples for Controlling Epidemic Models

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Product

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Event-triggered H_∞ control for active seat suspension systems with state delay