... 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 formattedPDF and full text (HTML) versions will be made available soon. Stability criteriafor linear Hamiltonian dynamic systems on time scalesAdvances in Difference ... inequality;Flo quet theory; stability; time scales.1 IntroductionA time scale is an arbitrary nonempty closed subset of the real numbers R. Weassume 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 113Petr Dostál, František Gazdoš, and Vladimír BobálDecentralized Adaptive Stabilization for Large-Scale Systems with Unknown Time- Delay ... NygaardResilient Adaptive Control of Uncertain Time- DelaySystems 143Hazem N. Nounou and Mohamed N. NounouSliding Mode Control for a Class of Multiple Time- DelaySystems 161Tung-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 ˆˆDEA ... 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...
... 076 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.77Exponential 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, NonlinearAnalysis:Hybrid...
... areDecentralized Adaptive Stabilization for Large-Scale Systems with Unknown Time- Delay 7 Design of Controllers forTimeDelay Systems: Integrating and Unstable Systems 117 degdegqp≤, ... controller for large scale time- delays systems with dead-zone input. In Zhou et al. (2009), adaptive backsteppingcontrol is developed foruncertainsystems with unknown input time- delay. In fact, ... 978-3-642-02896-0, Springer-VerlagBerlin Heidelberg.112 Time- Delay Systems Design of Controllers forTimeDelay Systems: Integrating and Unstable Systems 115 where 02dKbττ= , 1Kbτ=,...
... controllers for nonlinear time- delay systems, IEE Proceedingson Control Theory and Applications 146: 91–97.Zhou, J. (2008). Decentralized adaptive control for large-scale time- delaysystems withdead-zone ... stabilization of the class of time- delaysystems withparametric uncertainties and time varying state delay when the states are not assumed tobe measurable. For this class of systems, the authors developed ... adaptive controller to guarantee uniform ultimate boundedness forsystems withpartially known uncertainties. For a class of systems with multiple uncertain state delaysthat are assumed to satisfy...