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Positive Forms and Stability of Linear Time-Delay Systems
Time-Delay Systems Positive Forms and Stability
2015/6/19
We consider the problem of constructing Lyapunov functions for linear differential equations with delays. For such systems it is known that stability implies that there exists a quadratic Lyapunov fun...
Converse Lyapunov Theorem of Input-to-State Stability for Time-Delay Systems
Input-to-state stability converse Lyapunov theorem time-delay systems locally Lipschitz Lyapunov functional
2010/3/29
This paper is concerned with locally Lipschitz continuous
converse Lyapunov theorem of input-to-state stability for time-delay
systems. For time-delay systems with arbitrary measurable locally
esse...
Robust exponential stability of uncertain singular Markovian jump time-delay systems
Singular systems Markovian jumping parameters delay-dependent
2009/9/9
In this paper, the problem of delay-dependent robust exponential stability is investigated for uncertain singular Markovian jump systems with time delay. A delay-range-dependent condition is given ens...
Delay-Dependent Stability Criteria for Singular Time-Delay Systems
Delay-dependent stability singular systems linear matrix inequalities (LMIs)
2009/9/9
This note studies the problem of singular time-delay systems. At first, the equivalence among several recent stability criteria is established, and a simplified version is derived. By using a delay de...