In this paper the perturbed neutral differential equation with positive and negative coefficientsddt[x(t)-C(t)x(t-r)]+P(t)x(t-τ)-Q(t)x(t-σ)=f(t,x(t)), t≥t 0is considered. Sufficient conditions for the zero soluti...In this paper the perturbed neutral differential equation with positive and negative coefficientsddt[x(t)-C(t)x(t-r)]+P(t)x(t-τ)-Q(t)x(t-σ)=f(t,x(t)), t≥t 0is considered. Sufficient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable are obtained.展开更多
This paper is concerned with a novel Lyapunovlike functional approach to the stability of sampled-data systems with variable sampling periods. The Lyapunov-like functional has four striking characters compared to usua...This paper is concerned with a novel Lyapunovlike functional approach to the stability of sampled-data systems with variable sampling periods. The Lyapunov-like functional has four striking characters compared to usual ones. First, it is time-dependent. Second, it may be discontinuous. Third, not every term of it is required to be positive definite. Fourth, the Lyapunov functional includes not only the state and the sampled state but also the integral of the state. By using a recently reported inequality to estimate the derivative of this Lyapunov functional, a sampled-interval-dependent stability criterion with reduced conservatism is obtained. The stability criterion is further extended to sampled-data systems with polytopic uncertainties. Finally, three examples are given to illustrate the reduced conservatism of the stability criteria.展开更多
The problem of the global exponential stability of a class of Hopfield neural networks is considered. Based on nonnegative matrix theory, a sufficient condition for the existence, uniqueness and global exponential sta...The problem of the global exponential stability of a class of Hopfield neural networks is considered. Based on nonnegative matrix theory, a sufficient condition for the existence, uniqueness and global exponential stability of the equilibrium point is presented. And the upper bound for the degree of exponential stability is given. Moreover, a simulation is given to show the effectiveness of the result.展开更多
研究了长期不同施肥方式对潮土区土壤有机碳、全氮含量的影响,以期为小麦高产稳产及培肥技术提供指导。以长期定位肥料试验为平台,选择4个处理:不施肥(CK)、氮磷钾化肥(NPK)、氮磷钾化肥配施有机肥(MNPK)、氮磷钾化肥配施秸秆还田(SNPK...研究了长期不同施肥方式对潮土区土壤有机碳、全氮含量的影响,以期为小麦高产稳产及培肥技术提供指导。以长期定位肥料试验为平台,选择4个处理:不施肥(CK)、氮磷钾化肥(NPK)、氮磷钾化肥配施有机肥(MNPK)、氮磷钾化肥配施秸秆还田(SNPK)。测定1990-2018年间土壤有机碳、全氮含量及小麦产量。结果表明,施肥处理下小麦产量总体表现为上升趋势,其中前18 a SNPK和MNPK处理小麦产量大体上低于NPK处理,后11 a SNPK和MNPK处理大体上高于NPK处理,分别提高8.90%,8.93%。与CK相比,NPK、MNPK、SNPK处理均增加产量的稳定性;在施肥处理中,SNPK处理产量可持续性指数最高,为0.66。拟合方程表明,农田基础地力每增加1000 kg/hm^(2),肥料贡献率降低14.35~19.57百分点。长期施肥能提高土壤有机碳、全氮含量,其中MNPK处理有机碳、全氮提升作用最明显,年均增幅分别为0.158,0.014 g/kg。土壤全氮含量与有机碳含量呈现正相关(R2=0.620),有机碳含量每升高1 g/kg,土壤全氮含量增加0.078 g/kg。施肥可提高小麦产量,提升小麦产量稳定性和可持续性指数。在小麦-玉米轮作体系下,氮磷钾化肥配施秸秆还田最有利于维持可持续生产能力。氮磷钾化肥配施有机肥可有效提高土壤有机碳、全氮含量。在潮土区施有机肥及秸秆还田是提升土壤肥力和保障可持续利用的重要措施。展开更多
文摘In this paper the perturbed neutral differential equation with positive and negative coefficientsddt[x(t)-C(t)x(t-r)]+P(t)x(t-τ)-Q(t)x(t-σ)=f(t,x(t)), t≥t 0is considered. Sufficient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable are obtained.
基金supported by the National Natural Science Foundation of China(61374090)the Program for Scientific Research Innovation Team in Colleges and Universities of Shandong Provincethe Taishan Scholarship Project of Shandong Province
文摘This paper is concerned with a novel Lyapunovlike functional approach to the stability of sampled-data systems with variable sampling periods. The Lyapunov-like functional has four striking characters compared to usual ones. First, it is time-dependent. Second, it may be discontinuous. Third, not every term of it is required to be positive definite. Fourth, the Lyapunov functional includes not only the state and the sampled state but also the integral of the state. By using a recently reported inequality to estimate the derivative of this Lyapunov functional, a sampled-interval-dependent stability criterion with reduced conservatism is obtained. The stability criterion is further extended to sampled-data systems with polytopic uncertainties. Finally, three examples are given to illustrate the reduced conservatism of the stability criteria.
基金supported by Sichuan Province Foundation for Applied Basic Research and Leaders of Science and Technology under Grant No.05JY029-068-2
文摘The problem of the global exponential stability of a class of Hopfield neural networks is considered. Based on nonnegative matrix theory, a sufficient condition for the existence, uniqueness and global exponential stability of the equilibrium point is presented. And the upper bound for the degree of exponential stability is given. Moreover, a simulation is given to show the effectiveness of the result.
文摘研究了长期不同施肥方式对潮土区土壤有机碳、全氮含量的影响,以期为小麦高产稳产及培肥技术提供指导。以长期定位肥料试验为平台,选择4个处理:不施肥(CK)、氮磷钾化肥(NPK)、氮磷钾化肥配施有机肥(MNPK)、氮磷钾化肥配施秸秆还田(SNPK)。测定1990-2018年间土壤有机碳、全氮含量及小麦产量。结果表明,施肥处理下小麦产量总体表现为上升趋势,其中前18 a SNPK和MNPK处理小麦产量大体上低于NPK处理,后11 a SNPK和MNPK处理大体上高于NPK处理,分别提高8.90%,8.93%。与CK相比,NPK、MNPK、SNPK处理均增加产量的稳定性;在施肥处理中,SNPK处理产量可持续性指数最高,为0.66。拟合方程表明,农田基础地力每增加1000 kg/hm^(2),肥料贡献率降低14.35~19.57百分点。长期施肥能提高土壤有机碳、全氮含量,其中MNPK处理有机碳、全氮提升作用最明显,年均增幅分别为0.158,0.014 g/kg。土壤全氮含量与有机碳含量呈现正相关(R2=0.620),有机碳含量每升高1 g/kg,土壤全氮含量增加0.078 g/kg。施肥可提高小麦产量,提升小麦产量稳定性和可持续性指数。在小麦-玉米轮作体系下,氮磷钾化肥配施秸秆还田最有利于维持可持续生产能力。氮磷钾化肥配施有机肥可有效提高土壤有机碳、全氮含量。在潮土区施有机肥及秸秆还田是提升土壤肥力和保障可持续利用的重要措施。
