This paper discusses the stability of theoretical solutions for nonlinear multi-variable delay perturbation problems (MVDPP) of the form x′(t)=f(x(t),x(t-τ 1(t)),...,x(t-τ m(t)),y(t),y(t-τ 1(t)),...,y(t-τ m(t...This paper discusses the stability of theoretical solutions for nonlinear multi-variable delay perturbation problems (MVDPP) of the form x′(t)=f(x(t),x(t-τ 1(t)),...,x(t-τ m(t)),y(t),y(t-τ 1(t)),...,y(t-τ m(t))), and εy′(t)=g(x(t),x(t-τ 1(t)),...,x(t-τ m(t)),y(t),y(t-τ 1(t)),...,y(t-τ m(t))), where 0<ε1. A sufficient condition of stability for the systems is obtained. Additionally we prove the numerical solutions of the implicit Euler method are stable under this condition.展开更多
The design problem of delay-dependent robust control for uncertain discrete singular systems with time-varying delay is addressed in this paper. The uncertainty is assumed to be norm-bounded. By establishing a finite ...The design problem of delay-dependent robust control for uncertain discrete singular systems with time-varying delay is addressed in this paper. The uncertainty is assumed to be norm-bounded. By establishing a finite sum inequality based on quadratic terms, a new delay-dependent robust stability condition is derived and expressed in terms of linear matrix inequalities (LMIs). A suitable robust state feedback control law is presented, which guarantees that the resultant closed-loop system is regular, causal and stable for all admissible uncertainties. Numerical examples are given to demonstrate the applicability of the proposed method.展开更多
Based on the boron-containing thermally activated delayed fuorescence(TADF)compound p-AC(AC:acridine)5,9-dioxa-13 b-boranaphtho[3,2,1-de]anthracene(a),a series of new TADF molecules b1-b4 were designed via adding two ...Based on the boron-containing thermally activated delayed fuorescence(TADF)compound p-AC(AC:acridine)5,9-dioxa-13 b-boranaphtho[3,2,1-de]anthracene(a),a series of new TADF molecules b1-b4 were designed via adding two nitrogen atoms at the AC donor part.Density functional theory and time-dependent density functional theory calculations were performed on the frontier orbital energy levels,emission spectra,singlet-triplet states energy gaps(?EST),reverse intersystem crossing(RISC)rate constant(kRISC)for compounds a and b1-b4.Our calculation results show that the maximum emission wavelengths of b1-b4 are significantly blue-shifted by47-125 nm compared with that of a.Molecules b1 and b3 exhibit dark-blue emission,while molecules b2 and b4 display light-blue emission,indicating that these four derivatives could be potential organic light-emitting diode(OLED)candidates with blue-light emitting.Moreover,we found the RISC processes in a,b2,and b4 can occur not only from T_(1) state to S_(1) state,but also from T_(2) state to S_(1) state significantly,while the RISC processes in b1 and b3 mainly take place via the T_(2)→S_(1) hot exciton way.Importantly,the T_(1)→S_(1) kRISC values of b2 and b4 are predicted to be two to three times of that of a,indicating enhanced TADF property.Our results not only provide two promising boron-based TADF candidates(b2 and b4),but also offer useful theoretical basis for the design of blue OLED materials.展开更多
Time delay existes widely in various real engineering systems and can result in unsatisfactory performance or even an instability of control systems. Therefore, to investigate the stability for time delay systems is o...Time delay existes widely in various real engineering systems and can result in unsatisfactory performance or even an instability of control systems. Therefore, to investigate the stability for time delay systems is of vitul importance in control theory and its applications. Many researchers have studied the stability criteria of systems with constant delay or bound varying time delay, but few of them studied large time delay or unbound time delay. Large time delay existes commonly in various engineering applications. In this paper, the absolute stability of Lurie type direct control systems and indirect control systems with several time delays are discussed. Based on Lyapunov theory, the new delay dependent absolute stability criteria are derived. In our theorem, time delays can be unbound functions, which shows that the results are less conservative than that of existed criteria.展开更多
This paper is concerned with the issue of stabilization for the linear neutral systems with mixed delays. The attention is focused on the design of output feedback controllers which guarantee the asymptotical stabilit...This paper is concerned with the issue of stabilization for the linear neutral systems with mixed delays. The attention is focused on the design of output feedback controllers which guarantee the asymptotical stability of the closed-loop systems. Based on the model transformation of neutral type, the Lyapunov-Krasovskii functional method is employed to establish the delay-dependent stability criterion. Then, through the controller parameterization and some matrix transformation techniques, the desired parameters are determined under the delay-dependent design condition in terms of linear matrix inequalities (LMIs), and the desired controller is explicitly formulated. A numerical example is given to illustrate the effectiveness of the proposed method.展开更多
文摘This paper discusses the stability of theoretical solutions for nonlinear multi-variable delay perturbation problems (MVDPP) of the form x′(t)=f(x(t),x(t-τ 1(t)),...,x(t-τ m(t)),y(t),y(t-τ 1(t)),...,y(t-τ m(t))), and εy′(t)=g(x(t),x(t-τ 1(t)),...,x(t-τ m(t)),y(t),y(t-τ 1(t)),...,y(t-τ m(t))), where 0<ε1. A sufficient condition of stability for the systems is obtained. Additionally we prove the numerical solutions of the implicit Euler method are stable under this condition.
基金Project (Nos. 60434020 and 60604003) supported by the NationalNatural Science Foundation of China
文摘The design problem of delay-dependent robust control for uncertain discrete singular systems with time-varying delay is addressed in this paper. The uncertainty is assumed to be norm-bounded. By establishing a finite sum inequality based on quadratic terms, a new delay-dependent robust stability condition is derived and expressed in terms of linear matrix inequalities (LMIs). A suitable robust state feedback control law is presented, which guarantees that the resultant closed-loop system is regular, causal and stable for all admissible uncertainties. Numerical examples are given to demonstrate the applicability of the proposed method.
基金supported by the National Natural Science Foundation of China(No.22173008)。
文摘Based on the boron-containing thermally activated delayed fuorescence(TADF)compound p-AC(AC:acridine)5,9-dioxa-13 b-boranaphtho[3,2,1-de]anthracene(a),a series of new TADF molecules b1-b4 were designed via adding two nitrogen atoms at the AC donor part.Density functional theory and time-dependent density functional theory calculations were performed on the frontier orbital energy levels,emission spectra,singlet-triplet states energy gaps(?EST),reverse intersystem crossing(RISC)rate constant(kRISC)for compounds a and b1-b4.Our calculation results show that the maximum emission wavelengths of b1-b4 are significantly blue-shifted by47-125 nm compared with that of a.Molecules b1 and b3 exhibit dark-blue emission,while molecules b2 and b4 display light-blue emission,indicating that these four derivatives could be potential organic light-emitting diode(OLED)candidates with blue-light emitting.Moreover,we found the RISC processes in a,b2,and b4 can occur not only from T_(1) state to S_(1) state,but also from T_(2) state to S_(1) state significantly,while the RISC processes in b1 and b3 mainly take place via the T_(2)→S_(1) hot exciton way.Importantly,the T_(1)→S_(1) kRISC values of b2 and b4 are predicted to be two to three times of that of a,indicating enhanced TADF property.Our results not only provide two promising boron-based TADF candidates(b2 and b4),but also offer useful theoretical basis for the design of blue OLED materials.
文摘Time delay existes widely in various real engineering systems and can result in unsatisfactory performance or even an instability of control systems. Therefore, to investigate the stability for time delay systems is of vitul importance in control theory and its applications. Many researchers have studied the stability criteria of systems with constant delay or bound varying time delay, but few of them studied large time delay or unbound time delay. Large time delay existes commonly in various engineering applications. In this paper, the absolute stability of Lurie type direct control systems and indirect control systems with several time delays are discussed. Based on Lyapunov theory, the new delay dependent absolute stability criteria are derived. In our theorem, time delays can be unbound functions, which shows that the results are less conservative than that of existed criteria.
基金the National Natural Science Foundation of China (No. 50708094)the Hi-Tech Research and Development Program (863) of China (No. 2007AA11Z216)
文摘This paper is concerned with the issue of stabilization for the linear neutral systems with mixed delays. The attention is focused on the design of output feedback controllers which guarantee the asymptotical stability of the closed-loop systems. Based on the model transformation of neutral type, the Lyapunov-Krasovskii functional method is employed to establish the delay-dependent stability criterion. Then, through the controller parameterization and some matrix transformation techniques, the desired parameters are determined under the delay-dependent design condition in terms of linear matrix inequalities (LMIs), and the desired controller is explicitly formulated. A numerical example is given to illustrate the effectiveness of the proposed method.
