Technical stability:allowing quantitative estimation of trajectory behavior of a dynamical system over a given time interval was considered. Based on a differential comparison principle and a basic monotonicity condit...Technical stability:allowing quantitative estimation of trajectory behavior of a dynamical system over a given time interval was considered. Based on a differential comparison principle and a basic monotonicity condition, technical stability relative to certain prescribed state constraint sets of a class of nonlinear time-varying systems with small parameters was analyzed by means of vector Liapunov function method. Explicit criteria of technical stability are established in terms of coefficients of the system under consideration. Conditions under which the technical stability of the system can be derived from its reduced linear time-varying (LTV) system were further examined, as well as a condition for linearization approach to technical stability of general nonlinear systems. Also, a simple algebraic condition of exponential asymptotic stability of LTV systems is presented. Two illustrative examples are given to demonstrate the availability of the presently proposed method.展开更多
Measure index system of technical innovation in medium and smallmanufacturing enterprises is established according to principles of exploration, adaptability,standardization, generalization, feasibility, comparability...Measure index system of technical innovation in medium and smallmanufacturing enterprises is established according to principles of exploration, adaptability,standardization, generalization, feasibility, comparability and combination of economic benefit andcontinual development. It includes index of technical innovation capacity, informationaladministration on technical innovation, and investment of technical innovation, economic benefit,green technical level, social contribution and other influential indexes. Approach to measure oftechnical innovation in medium and small manufacturing enterprises is presented based on combinationof grey relation and fuzzy hiberarchy analysis, and conclusions are drawn based on practicalanalysis of 20 medium and small enterprises, which provides the basis for the medium and smallenterprises to select technical innovation policies and the government to constitute relativepolicies.展开更多
文摘Technical stability:allowing quantitative estimation of trajectory behavior of a dynamical system over a given time interval was considered. Based on a differential comparison principle and a basic monotonicity condition, technical stability relative to certain prescribed state constraint sets of a class of nonlinear time-varying systems with small parameters was analyzed by means of vector Liapunov function method. Explicit criteria of technical stability are established in terms of coefficients of the system under consideration. Conditions under which the technical stability of the system can be derived from its reduced linear time-varying (LTV) system were further examined, as well as a condition for linearization approach to technical stability of general nonlinear systems. Also, a simple algebraic condition of exponential asymptotic stability of LTV systems is presented. Two illustrative examples are given to demonstrate the availability of the presently proposed method.
基金This project is supported by National Natural Science Foundation of China(No.70171039, No.70131010)Provincial Science Foundation of Heilongjiang, China (No.G01-09).
文摘Measure index system of technical innovation in medium and smallmanufacturing enterprises is established according to principles of exploration, adaptability,standardization, generalization, feasibility, comparability and combination of economic benefit andcontinual development. It includes index of technical innovation capacity, informationaladministration on technical innovation, and investment of technical innovation, economic benefit,green technical level, social contribution and other influential indexes. Approach to measure oftechnical innovation in medium and small manufacturing enterprises is presented based on combinationof grey relation and fuzzy hiberarchy analysis, and conclusions are drawn based on practicalanalysis of 20 medium and small enterprises, which provides the basis for the medium and smallenterprises to select technical innovation policies and the government to constitute relativepolicies.
