[PDF] Top 20 Constrained local controllability of dynamic systems on time scales

... concerns the question of the existence of an admissible control to a given convex target set X from a specified initial state. We assume that a set of values of control is convex and bounded. Using the separation ... See full document

... In this paper we give a Lyapunov functional characterization of h-stability for nonlinear dynamic systems on time scales under the condition of u ∞ -similarity between their variational ... See full document

... linear dynamic systems with a small parameter ε on a time scale unifying continuous and discrete WKB ...2 dynamic system on a time scale, which is a generalization of adiabatic ... See full document

... for dynamic equations on time scales, which generalize the corresponding results on differential and difference ...Hamiltonian systems can be obtained by Lyapunov-type inequalities and Flo- ... See full document

... given time scale interval [a, b] T (a, b ∈ T with σ (a) < b), where p, q ∈ (1, + ∞ ) satisfy 1/p + 1/q = 1, A(t) is a real n × n matrix-valued function on [a, b] T such that I + μ (t)A(t) is invertible, B(t) ... See full document

... of dynamic equations on time scales has been paid high attention by a lot of mathematicians [1, 3, 4, 11–13, 17, 18, 23, 26, 27, 31, ...of dynamic equations on time scales has ... See full document

... f t ∞ × R → R is a rd-continuous function, T is a time scales. In this paper, we shall investigate some results for the exponential stability of the dynamic Equation (1) by combinating the first ... See full document

... of time-variant linear systems on time scales in terms of the eigenvalues of the system ...reducible systems in the regressive ... See full document

... the time scales calculus for the species that have unusual life ...predator-prey dynamic systems with Beddington-DeAn- glis type functional response and impulse to general time ... See full document

... A negative side-effect of the shrinking feature sizes is the increasing RC delay of on-chip wiring [10, 19]. The main reason behind this trend is the ever-increasing line resistance. In order to maintain high per- ... See full document

... [4–13]). Controllability means to steer a dynamical sys- tem from an arbitrary initial state to the desired final state in a given finite interval of time by using the admissible controls, and ... See full document

... of dynamic equations on a time scale goes back to Aulbach and Hilger ...scalar dynamic equation, stability and instability results were obtained by Gard and Hoffacker ...for time-varying ... See full document

... delay dynamic integral inequalities on time scales, which extend some known retarded dynamic inequalities on time scales, also unify and extend some continuous inequalities and ... See full document

... on time scales with ‘maxima’ are established, which can be used as a handy tool in the investigation of making estimates for bounds of solutions of dynamic equations on time scales with ... See full document

... of time scales under translations are significant and pivotal when introducing and studying functions on time ...arbitrary time scale, in 2015, a completely new concept called ... See full document

... Remark 2.9. Comparing Lemmas 2.7 and 1.5 we see that nabla exponential functions ap- proach zero in the larger region (see (1.25)) in the complex plane than delta exponential functions (see (2.87)). Thus asymptotic ... See full document

... Fluctuation analysis Keeling et al., 1997 and determinism tests Pascual and Levin, 1999 for estimating CLSs are attractive because they are appropriate to the complicated dynamics of som[r] ... See full document

... of time scales, which has recently received a lot of attention, was in- troduced by Stefan Hilger in his PhD thesis in 1988 in order to unify continuous and discrete analysis (see ...on time ... See full document

... a local horizontal state sub-vector and the pass pro- file vector as a local vertical state ...pass controllability relative to the global pass profile vector as it represents the global state of the ... See full document

... The paper is organized as follows. Section 2 summarizes some preliminary results on time scales, property of exponential functions on time scales and characterizes the stability domain of a ... See full document