Hybrid nonnegative and compartmental dynamical systems

DOI10.1080/1024123021000066426zbMath1049.34062OpenAlexW2032021447MaRDI QIDQ1432038

Sergey G. Nersesov, Wassim M. Haddad, Vijay Sekhar Chellaboina

Publication date: 14 June 2004

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50998

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Discrete event control/observation systems (93C65) Stability of solutions to ordinary differential equations (34D20)

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On positivity of singular regular linear time-delay time-invariant systems subject to multiple internal and external incommensurate point delays ⋮ Control vector Lyapunov functions for large-scale impulsive dynamical systems ⋮ On the construction of the Lyapunov function with sign-definite derivative with the help of auxiliary functions with sign-constant derivatives ⋮ Time reparameterization in problems of optimal control of impulsive hybrid systems ⋮ Stability properties of a class of positive switched systems with rank one difference ⋮ On the stability of invariant sets of systems with impulse effect ⋮ Homogeneous polynomials as Lyapunov functions in the stability research of solutions of difference equations ⋮ Finite-time stabilization of nonlinear impulsive dynamical systems ⋮ On the adaptive control of a class of SISO dynamic hybrid systems ⋮ Lyapunov based estimation of the basin of attraction of Poincaré maps with applications to limit cycle walking

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