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Absolute Stability (absolute + stability)
Selected AbstractsABSOLUTE STABILITY AND APPLICATION TO DESIGN OF OBSERVER-BASED CONTROLLER FOR NONLINEAR TIME-DELAY SYSTEMSASIAN JOURNAL OF CONTROL, Issue 3 2007Bassem Ben Hamed ABSTRACT In this paper we present a new sufficient condition for absolute stability of delay Lure system. This condition improves the one given in [1]. We use this new criterion to construct an observer-based control for a class of nonlinear time-delay systems. Some examples are given to illustrate the results of this paper. [source] Absolute stability of Lurie networked control systemsINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 12 2010Fei Hao Abstract This paper is concerned with the absolute stability problem of networked control systems (NCSs) with the controlled plant being Lurie systems (Lurie NCSs), in which the network-induced delays are assumed to be time-varying and bounded. First, in consideration of both the time-varying network-induced delays and data packet dropouts, the Lurie NCSs can be modeled as a multiple-delays Lurie system. Then, a delay-dependent absolute stability condition is established by using the Lyapunov,Krasovskii method. Next, two approaches to controller design are proposed in the terms of simple algebra criteria, which are easily solved via the toolbox in Matlab. Furthermore, the main results can be extended to robust absolute stability of Lurie NCSs with the structured uncertainties, where robust absolute stability conditions and approaches to robust controller design are presented. Finally, two numerical examples are worked out to illustrate the feasibility and the effectiveness of the proposed method. Copyright © 2009 John Wiley & Sons, Ltd. [source] Absolute stability of nonlinear systems with disc and norm-bounded perturbationsINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 1 2004Serkan T. Impram Abstract Absolute stability of uncertain nonlinear systems is studied using the celebrated Popov and circle criteria. Uncertainty is assumed to exist in terms of disc and norm-bounded perturbations in the linear plant. The use of circular arithmetic is proposed as an accurate but computationally more demanding alternative to the already existing approach based on strict positive realness conditions which is easier and faster to implement but gives, in general, conservative results. Numerical examples are given in order to illustrate the salient features of the mathematical developments. Copyright © 2004 John Wiley & Sons, Ltd. [source] Absolute stability of Lurie networked control systemsINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 12 2010Fei Hao Abstract This paper is concerned with the absolute stability problem of networked control systems (NCSs) with the controlled plant being Lurie systems (Lurie NCSs), in which the network-induced delays are assumed to be time-varying and bounded. First, in consideration of both the time-varying network-induced delays and data packet dropouts, the Lurie NCSs can be modeled as a multiple-delays Lurie system. Then, a delay-dependent absolute stability condition is established by using the Lyapunov,Krasovskii method. Next, two approaches to controller design are proposed in the terms of simple algebra criteria, which are easily solved via the toolbox in Matlab. Furthermore, the main results can be extended to robust absolute stability of Lurie NCSs with the structured uncertainties, where robust absolute stability conditions and approaches to robust controller design are presented. Finally, two numerical examples are worked out to illustrate the feasibility and the effectiveness of the proposed method. Copyright © 2009 John Wiley & Sons, Ltd. [source] New absolute stability criteria for time-delay Lur'e systems with sector-bounded nonlinearityINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 6 2010Xian Liu Abstract This paper is concerned with the problem of absolute stability of time-delay Lur'e systems with sector-bounded nonlinearity. Several novel criteria are presented by using a Lur'e,Postnikov function. For a general Lur'e system with known time delay, the absolute stability of it is analyzed by solving a set of linear matrix inequalities (LMIs). The maximum upper bound of the allowable time delay for a general Lur'e system is derived by solving a convex optimization problem. The feasibility of the LMIs implies some frequency-domain interpretations which are similar to the frequency-domain inequalities in the circle criterion and the Popov criterion. Copyright © 2009 John Wiley & Sons, Ltd. [source] Strongly absolute stability of Lur'e descriptor systems: Popov-type criteriaINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 7 2009Chunyu Yang Abstract In this paper, we consider the strongly absolute stability problem of Lur'e descriptor systems (LDSs). First, we define a generalized Lur'e Lyapunov function (GLLF) and show that the negative-definite property of the derivative of the GLLF guarantees strongly absolute stability of LDSs. As a result, the existing Popov-type criteria are reduced to sufficient conditions for the existence of the GLLF. Then, we propose a necessary and sufficient condition for the existence of the GLLF to guarantee the strongly absolute stability of LDSs. This criterion is shown to be less conservative than the existing ones. Finally, we discuss the computational issues and present two numerical examples to illustrate the effectiveness of the obtained results. Copyright © 2008 John Wiley & Sons, Ltd. [source] L2 -absolute and input-to-state stabilities of equations with nonlinear causal mappingsINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 2 2009M. I. Gil' Abstract Nonlinear scalar equations with causal mappings are considered. These equations include differential, difference, differential-delay, integro-differential and other traditional equations. Estimates for the L2 -norms of solutions are established. These estimates give us explicit conditions for the absolute and input-to-state stabilities of the considered equations. The Aizerman-type problem from the theory of absolute stability is also discussed. The suggested approach enables us to consider various classes of systems from the unified point of view. Copyright © 2008 John Wiley & Sons, Ltd. [source] Robust absolute stability criteria for uncertain Lur'e systems of neutral typeINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 3 2008Qing-Long Han Abstract This paper is concerned with robust absolute stability of uncertain Lur'e systems of neutral type. Some delay-dependent stability criteria are obtained and formulated in the form of linear matrix inequalities. The criteria cover some existing results as their special cases. Neither model transformation nor bounding technique for cross terms is involved through derivation of the stability criteria. Numerical examples show the effectiveness of the criteria. Copyright © 2007 John Wiley & Sons, Ltd. [source] Lur'e Lyapunov functions and absolute stability criteria for Lur'e systems with multiple nonlinearitiesINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 9 2007Chunyu Yang Abstract In this paper, the absolute stability problem of Lur'e systems with multiple nonlinearities is investigated. Popov-type absolute stability criteria are surveyed and classified by distinguishing the Lur'e Lyapunov function upon which the criteria are based. A modified Lur'e Lyapunov function is presented. Some necessary and sufficient conditions for the existence of the Lyapynov function to guarantee the absolute stability of Lur'e systems are derived. By these conditions, LMI-based stability criteria are presented. The obtained criteria are expected to be less conservative than the existing ones. Finally, numerical examples are given to illustrate the advantages and effectiveness of our results. Copyright © 2006 John Wiley & Sons, Ltd. [source] A new absolute stability test for systems with state-dependent perturbationsINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 14 2002M. C. de Oliveira Abstract In this paper, a new test for the absolute stability of nonlinear systems with state-dependent nonlinearities is developed. Scalar nonlinearities are assumed to lie in sectors. Using a Lur'e function as a Lyapunov function, a linear matrix inequalities (LMI) stability condition is derived. The new condition lets one go from a pure integral (Persidskii) to a pure quadratic Lyapunov function in an unified framework. Several results available in the literature are generated as particular cases of the new test. An example shows that the proposed condition can be much less conservative than available diagonal stability and passivity based methods, as the circle and Popov criteria. Tests for infinite as well as finite nonlinearity sectors can be easily generated, since the parameters of the nonlinearity sectors appear in the LMI condition in a very convenient way. This feature can also provide optimization of the absolute stability sector through convex programming techniques. Copyright © 2002 John Wiley & Sons, Ltd. [source] Lyapunov,Krasovskii functionals and frequency domain: delay-independent absolute stability criteria for delay systemsINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 8 2001Pierre-Alexandre Bliman Abstract The present paper is devoted to the study of absolute stability of delay systems with nonlinearities subject to sector conditions. We construct quadratic candidate Lyapunov,Krasovskii functional, whose decreasingness along trajectories is expressed in terms of linear matrix inequalities. We then show that the feasibility of the latter implies some frequency-domain conditions, which may be seen as delay-independent versions of the circle criterion and the Popov criterion. Copyright © 2001 John Wiley & Sons, Ltd. [source] Transition of Adolescent Political Action Orientations to Voting Behavior in Early Adulthood in View of a Social-Cognitive Action Theory Model of PersonalityPOLITICAL PSYCHOLOGY, Issue 2 2000Günter Krampen The political activity and voting behavior of 136 young German adults in 1994 were predicted by their political action orientations measured 7 years before. Respondents belonging to cohorts born in 1971, 1972, and 1973 were surveyed in 1987, 1988, and 1994. The questionnaires measured variables relevant to the social-cognitive action theory model of personality: self-concept of political competence, beliefs about political locus of control, political knowledge, trust in politics, satisfaction with politics, and political activity in everyday life. The results are interpreted with respect to the correlative and absolute stability versus plasticity of the variables from 1987 to 1994, as well as the predictive value of the action theory personality variables for political activities and for voting behavior measured 7 years later. Longitudinal results indicate a high predictive value of self-concept of political competence and political knowledge for political activity and voting in early adulthood. Because only these two personality variables showed relatively high positional stability coefficients from adolescence to early adulthood, the discussion refers to the necessity of early developmental interventions to prevent extreme types of politically uninterested and passive adults. Therefore, the social-cognitive action theory personality model of political participation is extended to a social-cognitive action theory personality model of political socialization in the life span. [source] Instability in a class of explicit two-time-level semi-Lagrangian schemesTHE QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY, Issue 596 2004Dale R. Durran Abstract Recently Gospodinov and collaborators derived a family of second-order two-time-level semi-Lagrangian schemes that contain an undetermined parameter ,. It is shown that, when using one of these schemes to approximate the forcing terms in partial differential equations in a semi-Lagrangian coordinate frame, the choice of , has a critical influence on the absolute stability of the method. Optimal stability properties are obtained by choosing , = ¼ which corresponds to the SETTLS scheme proposed by Hortal. Copyright © 2004 Royal Meteorological Society [source] ABSOLUTE STABILITY AND APPLICATION TO DESIGN OF OBSERVER-BASED CONTROLLER FOR NONLINEAR TIME-DELAY SYSTEMSASIAN JOURNAL OF CONTROL, Issue 3 2007Bassem Ben Hamed ABSTRACT In this paper we present a new sufficient condition for absolute stability of delay Lure system. This condition improves the one given in [1]. We use this new criterion to construct an observer-based control for a class of nonlinear time-delay systems. Some examples are given to illustrate the results of this paper. [source] |