We consider a number of questions pertaining to the stability of positive switched linear systems. Recent results on common quadratic, diagonal, and copositive Lyapunov function existence are reviewed and their connec...
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ISBN:
(纸本)9783642028939
We consider a number of questions pertaining to the stability of positive switched linear systems. Recent results on common quadratic, diagonal, and copositive Lyapunov function existence are reviewed and their connection to the stability properties of switched positive linear systems is highlighted. We also generalise the concept of D-stability to positive switched linear systems and present some preliminary results on this topic.
Robot Motion control 2009 presents very recent results in robot motion and control. Forty short papers have been chosen from those presented at the sixth International Workshop on Robot Motion and control held in Pola...
ISBN:
(数字)9781848829855
ISBN:
(纸本)9781848829848
Robot Motion control 2009 presents very recent results in robot motion and control. Forty short papers have been chosen from those presented at the sixth International Workshop on Robot Motion and control held in Poland in June 2009. The authors of these papers have been carefully selected and represent leading institutions in this field. The following recent developments are discussed: Design of trajectory planning schemes for holonomic and nonholonomic systems with optimization of energy, torque limitations and other factors. New control algorithms for industrial robots, nonholonomic systems and legged robots. Different applications of robotic systems in industry and everyday life, like medicine, education, entertainment and others. Multiagent systems consisting of mobile and flying robots with their applications The book is suitable for graduate students of automation and robotics, informatics and management, mechatronics, electronics and production engineering systems as well as scientists and researchers working in these fields.
In this survey paper, reachability properties for discrete-time positive systems, two-dimensional discrete state-space models and discrete-time positive switched systems are introduced and characterized. Comparisons a...
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ISBN:
(纸本)9783642028939
In this survey paper, reachability properties for discrete-time positive systems, two-dimensional discrete state-space models and discrete-time positive switched systems are introduced and characterized. Comparisons among the results obtained in these three settings are presented, thus enlightening which results can be easily extended and what aspects, at present time, are still challenging open problems.
In this work we introduce different positivity concepts for singular systems. Discrete-time regular singular systems are considered and the minimal realization problem is discussed for the case of weakly positive syst...
ISBN:
(纸本)9783642028939
In this work we introduce different positivity concepts for singular systems. Discrete-time regular singular systems are considered and the minimal realization problem is discussed for the case of weakly positive systems and internally positive systems.
The aim of this paper is a trajectory tracking control of Timed Event Graphs with specifications defined by a P-time Event Graph. Two problems are solved on a fixed horizon knowing the current state: The optimal contr...
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ISBN:
(纸本)9783642028939
The aim of this paper is a trajectory tracking control of Timed Event Graphs with specifications defined by a P-time Event Graph. Two problems are solved on a fixed horizon knowing the current state: The optimal control for favorable past evolution;The prediction of the earliest future evolution of the process. These two parts make up an on-line control which is used on a sliding horizon. Completely defined in (max, +) algebra, the proposed approach is a Model Predictive control using the component wise order relation.
This paper provides necessary and sufficient conditions for the asymptotic stability of linear positive systems subject to tithe-varying delays. It introduces and initiates an original method l or solving directly the...
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ISBN:
(纸本)9783642028939
This paper provides necessary and sufficient conditions for the asymptotic stability of linear positive systems subject to tithe-varying delays. It introduces and initiates an original method l or solving directly the proposed stability and stabilization problems without using the well-known Lyapunov theory that is commonly used in the field of stability analysis. In that way and for readers convenience, the paper avoids possible long and tedious superfluous calculus.
We analyze interconnections of finitely many (exponentially) stable positive systems which interact via uncertain couplings of arbitrarily prescribed structure. We view the couplings as structured perturbations of the...
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ISBN:
(纸本)9783642028939
We analyze interconnections of finitely many (exponentially) stable positive systems which interact via uncertain couplings of arbitrarily prescribed structure. We view the couplings as structured perturbations of the direct sum of the subsystems and derive computable formulas for the corresponding stability radius with respect to some costumary perturbation norms.
In this paper, we make clearly appear links in Max-Plus algebra between four apparently different concepts encountered in various domains, such as Positive invariance, Monotonicity, Strong lumpability and Coherency. T...
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ISBN:
(纸本)9783642028939
In this paper, we make clearly appear links in Max-Plus algebra between four apparently different concepts encountered in various domains, such as Positive invariance, Monotonicity, Strong lumpability and Coherency. The first concept concerns Positive invariance of a particular set by a (linear) map. The second concept concerns Monotonicity of a given matrix. The third concept concerns Strong lumpability and the last concept concerns Coherency. To achieve these objectives, we begin first by recalling the idempotent version of Haar's lemma, which gives necessary and sufficient conditions for the inclusion of "one sided" idempotent polyhedra. Then, we generalize this result to the case of the inclusion of "two sided" idempotent polyhedra. Finally, these results allow to formulate conditions for each concept and to give links between there. Recalling that Strong lumpability and Coherency are used for the aggregation (reduction) of systems. All the proofs are based on residuation theory, which play a central role in duality theory.
An explicit criterion for positive linear Volterra-Stieltjes differential systems is given. Then new explicit criteria for uniform asymptotic stability and exponential asymptotic stability of positive linear Volterra-...
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ISBN:
(纸本)9783642028939
An explicit criterion for positive linear Volterra-Stieltjes differential systems is given. Then new explicit criteria for uniform asymptotic stability and exponential asymptotic stability of positive linear Volterra-Stieltjes differential systems are presented. Finally, a crucial difference between the uniform asymptotic stability and the exponential asymptotic stability of linear Volterra-Stieltjes differential systems is shown.
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