The personal rights are the institute of civil law. They are the subject of legal regulation in Provisions § 11 and follows of Slovak Civil Code. Current legal regulation does not offer their definition, only enu...The personal rights are the institute of civil law. They are the subject of legal regulation in Provisions § 11 and follows of Slovak Civil Code. Current legal regulation does not offer their definition, only enumeration. Therefore, this situation makes good area for discovering if there are the next personal rights which have characteristic nature of this institute. It is important to analyze in which private relationships the personal right has the conditions for its full realization. It is important to discover in which kind of private relationships exist the personal rights which is typical for these relationships. This paper deals with the value of human personality--labour force. In the first part, the paper analyzes the nature of labour force and tries to show that labour force is the next personal right, using the method of analysis, induction, deduction, and synthesis. In the second part of the paper, it is labour force analyzed through its realization in labour relationships. This part of the paper tries to show that labour force is personal right typical for labour relationships, using the methods of analysis, synthesis, and generalization. The third part of the paper tries to evoke the discussion if the labour force is right or value.展开更多
This paper considers optimal feedback control for a general continuous time finite-dimensional deterministic system with finite horizon cost functional. A practically feasible algorithm to calculate the numerical solu...This paper considers optimal feedback control for a general continuous time finite-dimensional deterministic system with finite horizon cost functional. A practically feasible algorithm to calculate the numerical solution of the optimal feedback control by dynamic programming approach is developed. The highlights of this algorithm are: a) It is based on a convergent constructive algorithm for optimal feedback control law which was proposed by the authors before through an approximation for the viscosity solution of the time-space discretization scheme developed by dynamic programming method; b) The computation complexity is significantly reduced since only values of viscosity solution on some local cones around the optimal trajectory are calculated. Two numerical experiments are presented to illustrate the effectiveness and fastness of the algorithm.展开更多
Limit language complexity of cellular automata which is first posed by S. Wolfram has become a new branch of cellular automata. In this paper, we obtain two interesting relationships between elementary cellular automa...Limit language complexity of cellular automata which is first posed by S. Wolfram has become a new branch of cellular automata. In this paper, we obtain two interesting relationships between elementary cellular automata of rules 126, 146（182） and 18, and prove that if the limit language of rule. 18 is not regular, nor are the limit languages of rules 126 and 146（182）.展开更多
In this paper, we study the kinematic mechanism and path planning for a two-caster nonholonomic vehicle (the Essboard) which is a recent variant of skateboard. Different from the most studied Snakeboard, the Essboard ...In this paper, we study the kinematic mechanism and path planning for a two-caster nonholonomic vehicle (the Essboard) which is a recent variant of skateboard. Different from the most studied Snakeboard, the Essboard consists of a torsion bar and two platforms, each of which contains a pedal and a caster. We first investigate the relationship between the tilt angles of the pedals and the wheel directions of the casters. This relationship reveals how to control the wheel directions by adjusting the tilt angles. Next, the rotational radius of the Essboard is derived for a given pair of tilt angles of both pedals. The rotational radius of the Essboard is much different than that of the Snakeboard. Then we develop a path-planning algorithm for the Essboard to move from a start position to the goal, using a series of consecutively connected arcs, which are tangent to each other at the connected points. It is shown from a kinematic point of view that the path planning of the Essboard can be solved by a series of pairs of pedals' tilt angles. Three experiments are conducted to confirm the correctness of the main results. The results in this paper are a foundation for further study of the Essboard.展开更多
文摘The personal rights are the institute of civil law. They are the subject of legal regulation in Provisions § 11 and follows of Slovak Civil Code. Current legal regulation does not offer their definition, only enumeration. Therefore, this situation makes good area for discovering if there are the next personal rights which have characteristic nature of this institute. It is important to analyze in which private relationships the personal right has the conditions for its full realization. It is important to discover in which kind of private relationships exist the personal rights which is typical for these relationships. This paper deals with the value of human personality--labour force. In the first part, the paper analyzes the nature of labour force and tries to show that labour force is the next personal right, using the method of analysis, induction, deduction, and synthesis. In the second part of the paper, it is labour force analyzed through its realization in labour relationships. This part of the paper tries to show that labour force is personal right typical for labour relationships, using the methods of analysis, synthesis, and generalization. The third part of the paper tries to evoke the discussion if the labour force is right or value.
文摘This paper considers optimal feedback control for a general continuous time finite-dimensional deterministic system with finite horizon cost functional. A practically feasible algorithm to calculate the numerical solution of the optimal feedback control by dynamic programming approach is developed. The highlights of this algorithm are: a) It is based on a convergent constructive algorithm for optimal feedback control law which was proposed by the authors before through an approximation for the viscosity solution of the time-space discretization scheme developed by dynamic programming method; b) The computation complexity is significantly reduced since only values of viscosity solution on some local cones around the optimal trajectory are calculated. Two numerical experiments are presented to illustrate the effectiveness and fastness of the algorithm.
基金This research is supported by the National Natural Science Foundation of China(10101016).
文摘Limit language complexity of cellular automata which is first posed by S. Wolfram has become a new branch of cellular automata. In this paper, we obtain two interesting relationships between elementary cellular automata of rules 126, 146（182） and 18, and prove that if the limit language of rule. 18 is not regular, nor are the limit languages of rules 126 and 146（182）.
基金supported by the National Natural Science Foundation of China (Grant Nos. 51105012 and 61175079)
文摘In this paper, we study the kinematic mechanism and path planning for a two-caster nonholonomic vehicle (the Essboard) which is a recent variant of skateboard. Different from the most studied Snakeboard, the Essboard consists of a torsion bar and two platforms, each of which contains a pedal and a caster. We first investigate the relationship between the tilt angles of the pedals and the wheel directions of the casters. This relationship reveals how to control the wheel directions by adjusting the tilt angles. Next, the rotational radius of the Essboard is derived for a given pair of tilt angles of both pedals. The rotational radius of the Essboard is much different than that of the Snakeboard. Then we develop a path-planning algorithm for the Essboard to move from a start position to the goal, using a series of consecutively connected arcs, which are tangent to each other at the connected points. It is shown from a kinematic point of view that the path planning of the Essboard can be solved by a series of pairs of pedals' tilt angles. Three experiments are conducted to confirm the correctness of the main results. The results in this paper are a foundation for further study of the Essboard.
