A Smooth Converse Lyapunov Theorem for Robust Stability
SIAM Journal on Control and Optimization
Output-to-state stability and detectability of nonlinear systems
Systems & Control Letters
Mathematical control theory: deterministic finite dimensional systems (2nd ed.)
Mathematical control theory: deterministic finite dimensional systems (2nd ed.)
Partial Stability and Control
Partial stability and control: The state-of-the-art and development prospects
Automation and Remote Control
Brief Stabilization of invariant sets for nonlinear non-affine systems
Automatica (Journal of IFAC)
On the nonlinear uniaxial reorientation problem for a three-rotor gyrostat in the game noise model
Automation and Remote Control
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Conditions were obtained under which the uniform stability (uniform asymptotic stability) in one part of the variables of the zero equilibrium position of the nonlinear nonstationary system of ordinary differential equations implies the uniform stability (uniform asymptotic stability) of this equilibrium position relative to another, larger part of variables. Conditions were also obtained under which the uniform stability (uniform asymptotic stability) in one part of variables of the "partial" (zero) equilibrium position of the nonlinear nonstationary system of ordinary differential equations implies the uniform stability (uniform asymptotic stability) of this equilibrium position. These conditions complement a number of the well-known results of the theory of partial stability and partial detectability of the nonlinear dynamic systems. Application of the results obtained to the problems of partial stabilization of the nonlinear control systems was considered.