Partial stability and control: the state-of-the-art and future trends

DOI10.1007/s10513-005-0099-9zbMath1095.93023OpenAlexW2039372260MaRDI QIDQ2487568

V. I. Vorotnikov

Publication date: 8 August 2005

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

Full work available at URL: https://doi.org/10.1007/s10513-005-0099-9

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02) Asymptotic properties of solutions to ordinary differential equations (34D05) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items (21)

On stability with respect to the part of variables of a non-autonomous system in a cylindrical phase space ⋮ On partial stability and detectability of functional differential systems with aftereffect ⋮ Partial total boundedness of solutions to systems of differential equations with partly controlled initial conditions ⋮ A discussion on the Hölder and robust finite-time partial stabilizability of Brockett’s integrator ⋮ Robust finite-time stabilization of uncertain nonlinear systems based on partial stability ⋮ Approach to the stability analysis of partial equilibrium states of nonlinear discrete systems ⋮ Lyapunov function method for systems of difference equations: stability with respect to part of the variables ⋮ New stochastic convergence theorems: overcoming the limitations of LaSalle theorems ⋮ Fixed-time partial component consensus for nonlinear multi-agent systems with/without external disturbances ⋮ On the nonlinear uniaxial reorientation problem for a three-rotor gyrostat in the game noise model ⋮ Unnamed Item ⋮ Robustness of stability through necessary and sufficient Lyapunov-like conditions for systems with a continuum of equilibria ⋮ Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions ⋮ Partially controlling transient chaos in the Lorenz equations ⋮ CONTROL STRATEGIES FOR PLAYERS IN PURSUIT-EVASION GAMES BASED ON THEIR PREFERENCES ⋮ An approach of partial control design for system control and synchronization ⋮ Partial stability analysis of nonlinear time-varying impulsive systems ⋮ Higher Lyapunov functions derivatives and total Poisson boundedness of solutions ⋮ On the partial stability problem for nonlinear discrete-time stochastic systems ⋮ On the partial stability in probability of nonlinear stochastic systems ⋮ Classical converse theorems in Lyapunov's second method

Cites Work

• Investigation of physical systems using feedback
• Partial asymptotic stabilization of nonlinear distributed parameter systems
• Partial stability investigations of differential equations of second order
• On the problem of global partial asymptotic stability
• The partial stability of motion
• On partial asymptotic stability by the method of limiting equation
• Stability with respect to a part of the variables for a system with delay
• Lyapunov functions of the mechanical energy type
• The method of Lyapunov functions in problems of multistability of motion
• Nonlinear control systems. II
• On partial stability of differential equations with time delay
• Stability and stabilization of stochastic systems with respect to some of the variables
• On the stability of motion relative to part of the variables for certain nonlinear systems
• Asymptotic stability and instability of nonautonomous systems
• On permanent rotations of a heavy solid body on an absolutely rough horizontal plane
• On stability of motion relative to a part of variables under constantly acting perturbations
• Global existence and boundedness criteria for holonomic scleronomic systems
• On asymptotic stability and instability relative to a part of variables
• Metodi per lo studio della stabilita di sistemi con integrali primi noti
• On the stability of motion in critical cases
• Stabilization of controlled systems with respect to a part of the variables
• Stability theory by Liapunov's direct method
• New partial asymptotic stability results for nonlinear ordinary differential equations
• On a partial asymptotic stability theorem of Willett and Wong
• Stability of unsteady motions in first approximation
• On zero-controllability in a part of variables of nonlinear dynamic systems
• Global existence and boundedness for quasi-variational systems
• On the theory of partial stability
• The stability of the equilibrium position of a non-autonomous mechanical system
• Output stabilization of square nonlinear systems
• State estimation in continuous dynamic systems by the ellipsoid method
• Output-to-state stability and detectability of nonlinear systems
• On the stability of invariant sets of functional differential equations.
• Linear controller analysis and design for systems with input hystereses nonlinearities.
• Attractors and partial stability of nonlinear dynamical systems.
• Sufficient conditions for stability of linear stochastic system with aftereffect with respect to a part of variables
• On the partial equiasymptotic stability in functional differential equations
• Optimal stabilization of the rotational motion of a rigid body with the help of rotors
• Partial exponential stability of nonlinear time-varying large-scale systems
• Partial stability and geometric problems of nonlinear dynamics
• Control of chaos: methods and applications. I: Methods
• Set invariance in control
• The necessary and sufficient conditions of partial stability for linear dynamical systems
• Cone-valued Lyapunov functions and stability of impulsive control systems
• The use of quadratic forms to study the stability with respect to part of the variables
• A `universal' construction of Artstein's theorem on nonlinear stabilization
• Partial stability and boundedness of general dynamical systems on metric spaces
• Uniform global asymptotic stability of differential inclusions
• Synchronization of unidirectional coupled chaotic systems via partial stability
• Robust interval stability, persistence, and partial stability of Lotka-Volterra systems with time-delay
• Exploring nonlinearity by feedback
• Parallel partial stabilizing algorithms for large linear control systems
• The notion of \(V\)-detectability and stabilization of invariant sets of nonlinear systems
• The method of Ljapunov functions in the stability problem for motion with respect to a part of the variables
• Stability of linear autonomous systems with aftereffect with respect to a part of the variables
• Differential equations: Stability, oscillations, time lags
• Stability analysis of elastic and aeroelastic systems via Lyapunov's direct method
• Sulla stabilità asintotica parziale
• On the optimal stabilization of controlled systems
• On partial stability
• On certain theorems of Liapunov's second method
• On asymptotic stability and instability of motion with respect to a part of the variables
• On asymptotic stability of solutions to nonlinear nonautonomous systems
• Über eine Stabilitätsfrage in der Theorie der linearen Differentialgleichungen
• Stabilization of invariant sets for nonlinear systems with applications to control of oscillations
• Input-Output-to-State Stability
• Stabilization with relaxed controls
• Partial Stabilization of Generalized State-Space Systems Using the Disk Function Method
• Note On a Theorem of Avakumovic
• On the stability of motion of gyrostats
• On the asymptotic stability by nondecrescent Ljapunov function
• y-Stability and stabilization in the mean of discrete-time stochastic systems
• Partial exponential stability of semi-state systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Partial asymptotic stability via limiting equations
• Steady motions in controlled gyrostat systems
• Liapunov Stability Analysis of Hybrid Dynamical Systems in the Neighborhood of Nontrivial Equilibrium
• On partial stability for delay systems
• La stabilité d'attitude d'un satellite muni de panneaux solaires
• Partial stability of large-scale systems
• A UNIFIED FRAMEWORK FOR SYNCHRONIZATION AND CONTROL OF DYNAMICAL SYSTEMS
• A partial stability approach to the problem of transient power system stability
• A smooth Lyapunov function from a class-${\mathcal{KL}}$ estimate involving two positive semidefinite functions
• Lyapunov Characterizations of Input to Output Stability
• Uniform asymptotic expresions for the fundamental matrix of singularly perturbed linear systems and applications
• A Smooth Converse Lyapunov Theorem for Robust Stability
• Partial stability and stabilization of dynamical systems
• On the theory of stability of motion
• Vector Lyapunov Functions
• Smoothing Derivatives of Functions and Applications
• Stability with respect to part of the variables in systems with impulse effect
• Stabilization of invariant sets for nonlinear non-affine systems
• Some contributions to stochastic asymptotic stability and boundedness via multiple Lyapunov functions
• Partial stabilization of underactuated Euler-Lagrange systems via a class of feedback transformations
• Notions of input to output stability
• Estimation of the practical stability region of a class of robust controllers with input constraint.
• Impulsive control theory

This page was built for publication: Partial stability and control: the state-of-the-art and future trends