Robust H-Infinity Control for a Premium Pricing Model With a Predefined Portfolio Strategy

Author(s):  
Athanasios A. Pantelous ◽  
Lin Yang

In this paper, the robust H-infinity (H∞) control problem for a premium pricing process is investigated with parameters uncertainty. A previous model is modified by taking into account a predefined risky investment strategy. A robust H∞ control problem for the reserve process is proposed using linear matrix inequality (LMI) criteria. Attention is focused on the design of a state feedback controller such that the resulting closed-loop system is robustly stochastically stable with disturbance attenuation level γ>0. Finally, a numerical example with colorful figures and tables based on the data from the Shanghai Stock Exchange market is provided illustrating clearly the impact of risky investment in the system. The MATLAB LMI Control toolbox is used for the numerical calculations.

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
T. Osuna ◽  
O. E. Montano ◽  
Y. Orlov

TheL2-gain analysis is extended towards hybrid mechanical systems, operating under unilateral constraints and admitting both sliding modes and collision phenomena. Sufficient conditions for such a system to be internally asymptotically stable and to possessL2-gain less than ana priorigiven disturbance attenuation level are derived in terms of two independent inequalities which are imposed on continuous-time dynamics and on discrete disturbance factor that occurs at the collision time instants. The former inequality may be viewed as the Hamilton-Jacobi inequality for discontinuous vector fields, and it is separately specified beyond and along sliding modes, which occur in the system between collisions. Thus interpreted, the former inequality should impose the desired integral input-to-state stability (iISS) property on the Filippov dynamics between collisions whereas the latter inequality is invoked to ensure that the impact dynamics (when the state trajectory hits the unilateral constraint) are input-to-state stable (ISS). These inequalities, being coupled together, form the constructive procedure, effectiveness of which is supported by the numerical study made for an impacting double integrator, driven by a sliding mode controller. Desired disturbance attenuation level is shown to satisfactorily be achieved under external disturbances during the collision-free phase and in the presence of uncertainties in the transition phase.


2017 ◽  
Vol 18 (4) ◽  
pp. 710-732 ◽  
Author(s):  
William Forte ◽  
Jon Tucker ◽  
Gaetano Matonti ◽  
Giuseppe Nicolò

Purpose The purpose of this paper is to investigate the relationship between intellectual capital (IC), measured in terms of the market to book (MTB) ratio, and potential key determinants of IC value such as intangible assets (IA) and a range of other factors. Design/methodology/approach The study is conducted for a sample of 140 Italian corporations over the period 2009-2013. Applying a holistic market-based approach, the relationship between IC value and selected determinants from the extant literature is tested. Five hypotheses are tested using a pooled OLS regression model, while controlling for time. ROE is employed as a useful firm profitability indicator from the perspective of an equity investor. Moreover, four robustness tests are undertaken. Findings The results show that IA, profitability, leverage, industry type, auditor type, and family ownership positively affect IC value, whereas SIZE and AGE negatively affect IC value. Moreover, the findings of the robustness tests suggest that all firms, and not just knowledge-intensive business service industry firms, manage knowledge. Research limitations/implications The validity of the findings is limited to the Italian context, as the study focuses on a sample of companies listed on the Milan Stock Exchange, all of which prepare their individual financial statements according to IFRS. Further limitations are related to the use of market value in the short term, as it is influenced by market volatility. The study may allow academic researchers to investigate the impact of other non-accounting sources of information on market value within a multidisciplinary perspective. Practical implications This paper also has implications for managers and practitioners. The findings suggest that managers should not take for granted that firm growth (an increase in SIZE) alone will lead to an increase in IC value, in the absence of a consistent IC-oriented investment strategy. Managers should also avoid smoothing their IC investment as the company grows, in order to maintain a stable MTB ratio. Further, standard setters should seek to explore better means of disclosing non-accounting information relating to IC value. Originality/value This paper contributes to the IC literature as it is the first study which applies the market capitalization approach to analyze IC value determinants in the Italian context, within the framework of IFRS. The findings reveal some interesting relationships between the MTB ratio and recognized intangible investments, which are found to be insignificant in previous studies, confirming that, through the holistic effect, the MTB ratio may be a good proxy for IC.


2000 ◽  
Vol 33 (10) ◽  
pp. 887-892
Author(s):  
Luís Gustavo Soares Longhi ◽  
Argimiro Resende Secchi ◽  
Jorge Otávio Trierweiler ◽  
Enrique Luis Lima

2019 ◽  
Vol 42 (9) ◽  
pp. 1585-1593
Author(s):  
Chen-Yu Wu

This paper investigates event-based switching control for production inventory systems with time-varying delays. The different subsystems are established to describe the fact that the different production rates are adjusted to meet the different customer needs, and the conditions of average dwelling time are used to constrain the switchings. The event-triggered scheme, where the event generates when the relative error between the current review-data and the last transmission review-data exceeds a certain threshold, depicts the transmission of raw materials (or finished products) in practice. Then, the sufficient conditions of exponentially stable with a prescribed disturbance attenuation level [Formula: see text] and controller synthesis are formulated as linear matrix inequalitiess for the production inventory switching systems. A numerical example is presented to illustrate the effectiveness of the proposed method.


1995 ◽  
Vol 18 (3) ◽  
pp. 532-538 ◽  
Author(s):  
Pierre Apkarian ◽  
Jean-Marc Biannic ◽  
Pascal Gahinet

2011 ◽  
Vol 204-210 ◽  
pp. 437-440
Author(s):  
Hong Xing Li ◽  
Dong Hong Fan ◽  
Xiao Zhu Zhou

This paper studies the design of robust H∞ controller for stochastic wind power generation systems. Assuming the system is convex uncertain,this article presents the H∞ performance criterion for uncertain stochastic system , deduces sufficiency conditions of the existence of H∞ controller with state feedback, and expresses them into a form of the linear matrix inequality (LMI), then utilizes schur complement lemma to transform them into LMIs which can be solved. At last we utilize standard digital software to get the disturbance attenuation level and the state feedback matrix.


2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Yilin Wang ◽  
Hamid Reza Karimi ◽  
Zhengrong Xiang

This paper is concerned with the control issue for a class of networked control systems (NCSs) with packet dropouts and time-varying delays. Firstly, the addressed NCS is modeled as a Markovian discrete-time switched system with two subsystems; by using the average dwell time method, a sufficient condition is obtained for the mean square exponential stability of the closed-loop NCS with a desired disturbance attenuation level. Then, the desired controller is obtained by solving a set of linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the proposed method.


2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Shenping Xiao ◽  
Liyan Wang ◽  
Hongbing Zeng ◽  
Lingshuang Kong ◽  
Bin Qin

The robustH∞filtering problem for a class of network-based systems with random sensor delay is investigated. The sensor delay is supposed to be a stochastic variable satisfying Bernoulli binary distribution. Using the Lyapunov function and Wirtinger’s inequality approach, the sufficient conditions are derived to ensure that the filtering error systems are exponentially stable with a prescribedH∞disturbance attenuation level and the filter design method is proposed in terms of linear matrix inequalities. The effectiveness of the proposed method is illustrated by a numerical example.


Sign in / Sign up

Export Citation Format

Share Document