On finite and practical stability of time delayed systems: Lyapunov-Krassovski approach, delay dependent criteria
DLJ Debeljković, IM Buzurović… - … Chinese Control and …, 2011 - ieeexplore.ieee.org
2011 Chinese Control and Decision Conference (CCDC), 2011•ieeexplore.ieee.org
This paper gives sufficient conditions for the practical and finite time stability of linear
continuous time delay systems of the form X (t)= A 0 X (t)+ A 1 X (t− τ). When we consider
finite time stability, these new, delay independent conditions are derived using the approach
based on Lyapunov-Krassovski functionals. In this case these functionals need not to have:
a) properties of positivity in whole state space and b) negative derivatives along system
trajectories. When we consider practical stability, before mentioned concept of stability, it is …
continuous time delay systems of the form X (t)= A 0 X (t)+ A 1 X (t− τ). When we consider
finite time stability, these new, delay independent conditions are derived using the approach
based on Lyapunov-Krassovski functionals. In this case these functionals need not to have:
a) properties of positivity in whole state space and b) negative derivatives along system
trajectories. When we consider practical stability, before mentioned concept of stability, it is …
This paper gives sufficient conditions for the practical and finite time stability of linear continuous time delay systems of the form X(t)=A 0 X(t)+A 1 X(t−τ). When we consider finite time stability, these new, delay independent conditions are derived using the approach based on Lyapunov-Krassovski functionals. In this case these functionals need not to have: a) properties of positivity in whole state space and b) negative derivatives along system trajectories. When we consider practical stability, before mentioned concept of stability, it is combined and supported by classical Lyapunov technique to guarantee attractivity properties of system behavior.
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