On partial detectability of the nonlinear dynamic systems

DOI10.1134/S0005117909010020zbMath1163.93383OpenAlexW1996602895MaRDI QIDQ1027671

Yu. G. Martyshenko, V. I. Vorotnikov

Publication date: 30 June 2009

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117909010020

zbMATH Keywords

ordinary differential equationsnonlinear control systemsuniform asymptotic stability

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (8)

On partial stability and detectability of functional differential systems with aftereffect ⋮ Lyapunov vector functions and partial boundedness of solutions with partially controlled initial conditions ⋮ Higher-order derivatives of Lyapunov functions and partial boundedness of solutions with partially controllable initial conditions ⋮ Approach to the stability analysis of partial equilibrium states of nonlinear discrete systems ⋮ Stability in mean of partial variables for stochastic reaction-diffusion systems with Markovian switching ⋮ On the nonlinear uniaxial reorientation problem for a three-rotor gyrostat in the game noise model ⋮ Stability in mean of partial variables for coupled stochastic reaction-diffusion systems on networks: a graph approach ⋮ On the partial stability in probability of nonlinear stochastic systems

Cites Work

• Output-to-state stability and detectability of nonlinear systems
• The notion of \(V\)-detectability and stabilization of invariant sets of nonlinear systems
• Differential equations: Stability, oscillations, time lags
• A smooth Lyapunov function from a class-${\mathcal{KL}}$ estimate involving two positive semidefinite functions
• A Smooth Converse Lyapunov Theorem for Robust Stability
• Stabilization of invariant sets for nonlinear non-affine systems
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