... Wang, Stabilitycriteriafor linear periodic Hamiltonian systems. J. Math.
Anal. Appl. 367, 329–336 (2010)
[15] XH Tang, M Zhang, Lyapunov inequalities and stabilityfor linear Hamil-
tonian systems. ... appeared upon acceptance. Fully formatted
PDF and full text (HTML) versions will be made available soon.
Stability criteriafor linear Hamiltonian dynamic systems on time scales
Advances in Difference ... inequality;
Flo quet theory; stability; time scales.
1 Introduction
A time scale is an arbitrary nonempty closed subset of the real numbers R. We
assume that T is a time scale. For t ∈ T, the forward jump operator...
... Theorem for Quasi-Polynomials 89
5.5 Applications to Control Theory 92
5.6 Stability of Time- DelaySystems with a Single Delay 99
5.7 Notes and References 106
Stabilization of Time- DelaySystems ... Algorithms for Real and Complex PID Stabilization 265
12.1 Introduction 265
12.2 Algorithm for Linear Time- Invariant Continuous -Time
Systems 266
12.3 Discrete -Time Systems 276
12.4 Algorithm for ... Notes and References 75
Preliminary Results for Analyzing Systems with Time
Delay 77
5.1 Introduction 77
5.2 Characteristic Equations forDelaySystems 78
5.3 Limitations of the Pade Approximation...
... interval timedelay systems,
controllers design, decentralized adaptive stabilization for large-scale systems with
unknown time- delay and resilient adaptive control of uncertain time- delay systems.
Finally, ... forTimeDelay Systems:
Integrating and Unstable Systems 113
Petr Dostál, František Gazdoš, and Vladimír Bobál
Decentralized Adaptive Stabilization for
Large-Scale Systems with Unknown Time- Delay ... Nygaard
Resilient Adaptive Control
of Uncertain Time- DelaySystems 143
Hazem N. Nounou and Mohamed N. Nounou
Sliding Mode Control for a Class
of Multiple Time- DelaySystems 161
Tung-Sheng Chiang and...
... possible the construction of
Lyapunov stability theory even for the timedelaysystems in that sense that asymptotic
Time- DelaySystems
22
Theorem 2.1.2.4 For given constant matrix
ˆ
ˆ
D
EA ... stability problems for particular classes of linear continuous and
discrete time delayed systems. Here, we present a number of new results concerning
stability properties of this class of systems ... such as
Lyapunov stability, finite time stability, practical stability, technical stability and BIBO
stability. The first part of this section is concerned with the asymptotic stability of the...
... + −Γ − Γ=Γ>uv u u v v
.
Time- DelaySystems
32
2.1.2 Continuous timedelaysystems – stability over finite time interval
A linear, multivariable time- delay system can be represented ... although results presented there are derived for continuous time varying systems.
Time- DelaySystems
34
STABILITY THEOREMS - Dependent delaystability conditions
Theorem 2.1
.2.1 System ... finite time and practical stability were extended to the particular class of linear continuous
time delay systems. Stability sufficient conditions dependent on delay, expressed in terms of
time delay...
... descriptor time delayed systems – stability over finite time interval
To the best knowledge of the authors, there is not any paper treating the problem of finite
time stabilityfor discrete ... descriptive timedelaysystems
Singular and descriptive systems represent very important classes of systems. Their stability
was considered in detail in the previous chapter. Timedelay phenomena, ... Continuous singular time delayed systems
3.1.1 Continuous singular time delayed systems – Stability in the sense of Lyapunov
Consider a linear continuous singular system with state delay, described...
... 0
76
Time- Delay Systems
Time- DelaySystems
72
continuous timedelay systems, Proc. CDC, December 3-5, Orlando (Florida), to be
submitted.
Desoer, C. A. & M. Vidysagar, Feedback Systems ... the robuststability of linear systems with single time
delay, Systems & Control Letters (23), pp. 375 – 379, ISSN: 0167-6911
Su, J. H. & C. G. Huang, (1992) Robuststability of delay ... modes.
77
Exponential Stability of Uncertain Switched System with Time- Varying Delay
Time- DelaySystems
70
Debeljkovic, D. Lj., M. P. Lazarevic, Z. Lj. Nenadic, S. A. Milinkovic, (1999) Finite Time
Stability...
... nonlinear hybrid time- delay systems, Nonlinear An alysis:Hybrid
systems, 3,1-10.
Wu, M. et al. (2004). Delay- dependent criteriaforrobuststability of time varying delay
systems, Automatica J. IFAC, ... Delay- dependent robust control foruncertain switched
systems with time delay, Nonlinear Analysis:Hybrid systems, 2, 81-95.
Niamsup, P. (2008). Controllability approach to H
∞
control problem of linear time- ... exponential stabilityfor a class of neural networks with
time delays, J. Comput. Appl. Math., 183, 16-28.
Zhang, Y., Lib, X. & Shen X. (2007). Stability of switched systems with time delay, Nonlinear
Analysis:Hybrid...