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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...
Delay-dependent stability analysis for discrete singular systems with time-varying delays
Discrete singular systems time-varying delays delay-dependent stability linear matrix inequality (LMI)
2010/3/29
This paper studies the problem of stability analysis for
discrete singular time delay systems. Without resorting to the
decomposition and equivalent transformation of the considered
system, some ne...
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...
Estimating the Delay-time for the Stability of Markovian Jump Bilinear Systems with Saturating Actuators
Saturating actuators Markovian jump bilinear systems Exponentially stochastic stability
2009/9/9
This paper is concerned with the stochastic stabilizability problem of time-delay Markovian jump bilinear systems with saturating actuators. Sufficient conditions for local exponential stochastic stab...
A New Delay-dependent Absolute Stability Criterion for Lurie Systems with Time-varying delay
Lurie system time-varying delay absolute stability nonlinearity linear matrix inequality (LMI)
2010/3/29
The problem of absolute stability analysis for Lurie systems with time-varying delay and
norm-bounded parameter uncertainties is considered. By using a new Lyapunov-krasovskii functional
which split...